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no-repeat 6px;background-position:center;margin-top:10px;min-width:55px;display:none;} @media (min-width:768px){.gvEcCq .floats-partial-section .floats-partial-footer .floats-partial-caption .expand_btn{display:none;}} .gvEcCq .floats-partial-section .floats-partial-footer .floats-partial-caption .caption-text{-webkit-flex:9;-ms-flex:9;flex:9;text-align:left;padding:21px 37px 10px 0px;font-size:16px;font-weight:700;} @media (min-width:768px){.gvEcCq .floats-partial-section .floats-partial-footer .floats-partial-caption .caption-text{padding:19px 18px 10px 18px;}} @media (min-width:992px){.gvEcCq .floats-partial-section .floats-partial-footer .floats-partial-caption .caption-text{padding:19px 21px 10px 21px;}} .gvEcCq .floats-partial-section .floats-partial-footer .floats-partial-caption 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no-repeat 6px;background-position:center;padding:16px 0 16px 0;min-width:62px;max-width:62px;} @media (min-width:768px){.gvEcCq .floats-partial-section .floats-partial-footer .floats-partial-caption .caption-partial-url{padding:16px 0 17px 0;min-width:52px;max-width:52px;}} @media (min-width:992px){.gvEcCq .floats-partial-section .floats-partial-footer .floats-partial-caption .caption-partial-url{padding:15px 0 17px 0;min-width:60px;max-width:60px;}} .gvEcCq .floats-partial-section .floats-partial-footer .floats-partial-caption .caption-partial-url:hover{-webkit-text-decoration:none;text-decoration:none;} .gvEcCq .floats-partial-section .floats-partial-footer .floats-partial-caption-text{font-size:14px;padding:0px 18px 17px 22px;} @media (min-width:768px){.gvEcCq .floats-partial-section .floats-partial-footer .floats-partial-caption-text{padding:0px 15px 15px 18px;}} @media (min-width:992px){.gvEcCq .floats-partial-section .floats-partial-footer .floats-partial-caption-text{padding:0px 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height="24"><span class="text">提交</年代p一个n></span><span class="sc-htoDjs kNoiZu sc-dqBHgY cQgXqt fileArrow icon-colored undefined icon-themeable" title="" font-size="16"></span></a> <div class="sc-krDsej ewCAZX hide__submenu journalSubmenuCheck" id="journalnav__submenu"> <button class="sc-itybZL kdvWPs journalSubmenuCheck"><span class="sc-htoDjs gvAGTV sc-fzsDOv hAFFGk journalSubmenuCheck icon-colored _1CwL9R82TPl2HxDleeYGDR icon-themeable" title="" font-size="9"></span></button> </div> <div class="sc-dTdPqK lkWWFY hide__submenu journal__nav__desktop" id="journalnav__submenudesktop"> <div order="0" class="sc-kUaPvJ ehYbwJ"> <div class="sc-gPWkxV legory"></div> <div class="sc-gPWkxV legory"></div> </div> <div class="sc-jVODtj epgILe"></div> <span class="sc-fONwsr kCfRMJ"></span> </div> </nav> </div> <div class="sc-nrwXf byflLi breadcrumb__wrapper journal_article__BreadCrumbStyle-sc-12fk6zy-2 bjwAQR article"> <a class="sc-htpNat bUhGXt link sc-eitiEO jXeALb breadCrumb" href="//www.newsama.com/journals/afs/" aria-label="Advances in Fuzzy Systems">模糊系统的进步</一个>/<一个class="sc-htpNat bUhGXt link sc-eitiEO jXeALb breadCrumb" href="//www.newsama.com/journals/afs/contents/year/2012/" aria-label="2012">2012年</一个>/<年代p一个nclass="sc-bhlBdH UVThf">文章</年代p一个n> </div> <div class="threeColumn__ThreeColumnWrapper-sc-1bf4078-0 dDyxFF threeColumnWrapper"> <div class="threeColumn__LeftWrapper-sc-1bf4078-1 fkVFlF leftWrapper"> <button type="button" class="sc-eKZiaR dzZrgS section__button " id="sectionButton"><span class="sc-htoDjs diutvq icon__dots dots__detector icon-colored _3n-7Ho7DlfjMlZbrRr9Q4a icon-themeable" title="" font-size="22"></span>文章部分</gydF4y2Babutton> <div class="sc-bEjcJn jLUVhb static_contents__section_links links__hidden "> <div id="leftSectionMenu" class="sc-cbkKFq prcY sc-bGbJRg dVCLgr left_section_menu"> <p>在这一页上</pgydF4y2Ba> <span class="sc-likbZx bBmZJZ grey" property="background-color" color="#D8D8D8"><a class="sc-htpNat bUhGXt link sc-ePZHVD ewHMLz" href="#abstract" aria-label="">文摘</一个></span> <span class="sc-likbZx bBmZJZ grey" property="background-color" color="#D8D8D8"><a class="sc-htpNat bUhGXt link sc-ePZHVD ewHMLz" href="#introduction" aria-label="">介绍</一个></span> <span class="sc-likbZx bBmZJZ grey" property="background-color" color="#D8D8D8"><a class="sc-htpNat bUhGXt link sc-ePZHVD ewHMLz" href="#experimental-results-and-discussions" aria-label="">实验结果</一个></span> <span class="sc-likbZx bBmZJZ grey" property="background-color" color="#D8D8D8"><a class="sc-htpNat bUhGXt link sc-ePZHVD ewHMLz" href="#conclusion" aria-label="">结论</一个></span> <span class="sc-likbZx bBmZJZ grey" property="background-color" color="#D8D8D8"><a class="sc-htpNat bUhGXt link sc-ePZHVD ewHMLz" href="#references" aria-label="">引用</一个></span> <span class="sc-likbZx bBmZJZ grey" property="background-color" color="#D8D8D8"><a class="sc-htpNat bUhGXt link sc-ePZHVD ewHMLz" href="#copyright" aria-label="">版权</一个></span> </div> </div> </div> <div class="threeColumn__ContentWrapper-sc-1bf4078-3 bbzREB contentWrapper"> <div class="threeColumn__Content-sc-1bf4078-4 jknsZc content"> <div class="articleContent__ArticleContentsWrapper-sc-2yl9jy-0 eSvjPB article_contents"> <div class="articleContent__ArticleContentsSectionsWrapper-sc-2yl9jy-1 jntdRu article_contents__sections_wrapper"> <div class="articleContent__ArticleWrapper-sc-2yl9jy-2 hAzjHP"> <div class="sc-chbbiW mBGSe article_header_class"> <p class="sc-kZmsYB bkiEfx article_type">研究文章|<gydF4y2Ba!-- -->开放获取</pgydF4y2Ba> <div class="sc-RcBXQ ztvYg article_citation"> 体积<gydF4y2Ba!-- --> 2012年<gydF4y2Ba!-- --> <span class="sc-fZwumE cUsFHx">|</年代p一个n>文章的ID<gydF4y2Ba!-- --> 206121年<gydF4y2Ba!-- --> <span class="sc-fZwumE cUsFHx">|</年代p一个n> <a class="sc-htpNat bUhGXt link sc-fQejPQ duuwge" href="https://doi.org/10.1155/2012/206121" aria-label="Doi-link">https://doi.org/10.1155/2012/206121</一个> </div> <div class="sc-LKuAh lcOiDF article_full_citation"> <div class="sc-hzNEM gsmOCv isHide"> <p>Yazdan卷Khezeli Hossein Nezamabadi-pour<gydF4y2Ba!-- -->,<gydF4y2Ba!-- --> ”<年代p一个nclass="adjust-article-svg-size">模糊格推理模式分类使用一个新的积极的估值函数</年代p一个n>”,<gydF4y2Ba!-- --><i>模糊系统的进步</我>,<gydF4y2Ba!-- --> 卷。<gydF4y2Ba!-- -->2012年<gydF4y2Ba!-- -->,<gydF4y2Ba!-- --> 文章的ID<gydF4y2Ba!-- -->206121年<gydF4y2Ba!-- -->,<gydF4y2Ba!-- --> 8<gydF4y2Ba!-- -->   页面<gydF4y2Ba!-- -->,<gydF4y2Ba!-- --> 2012年<gydF4y2Ba!-- -->。<gydF4y2Ba!-- --> https://doi.org/10.1155/2012/206121</pgydF4y2Ba> </div> <button class="sc-hSdWYo etauus sc-iBEsjs kPshFw" color="">显示引用</gydF4y2Babutton> </div> <h1 class="sc-iRbamj jZOxOO sc-iSDuPN kEVvRd article_title adjust-article-svg-size heading-title">模糊格推理模式分类使用一个新的积极的估值函数</gydF4y2Bah1> </div> <div class="sc-jrIrqw eHMFfo article_authors"> <hr class="sc-cEvuZC XkrFe hr__author"> <span class="">Yazdan卷Khezeli<一个class="sc-htpNat bUhGXt link" href="http://orcid.org/0000-0003-4123-835X" aria-label="Redirect to Doi" target="_blank"><img alt="" class="sc-EHOje iiusBg sc-iybRtq iQSObO" title="" role="presentation" src="data:image/svg+xml;base64,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" height="16"></a><sup>1</年代up>和</年代p一个n> <span class=""><b>侯赛因Nezamabadi-pour</gydF4y2Bab><a class="sc-htpNat bUhGXt link" href="mailto:" aria-label="Mail Option"><span class="sc-htoDjs kNoiZu sc-hjRWVT irNWJI icon-colored _2zt-1j0LmaF8UjTQAM413G icon-themeable" title="" font-size="16"></span></a><a class="sc-htpNat bUhGXt link" href="http://orcid.org/0000-0002-3350-7348" aria-label="Redirect to Doi" target="_blank"><img alt="" class="sc-EHOje iiusBg sc-iybRtq iQSObO" title="" role="presentation" src="data:image/svg+xml;base64,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" height="16"></a><sup>1</年代up></span> <div class="sc-fHxwqH dMuGGA isHide"> <p><sup>1</年代up><span>科曼地毯大学电机工程系,Shahid Bahonar表示,邮政信箱76169 - 133,科曼地毯,伊朗</年代p一个n></p> </div> <button class="sc-hSdWYo etauus sc-iQtOjA kfDwZY" color="">显示更多</gydF4y2Babutton> </div> <div class="articleContent__EditorWrapper-sc-2yl9jy-3 evMkvU"> <div class="articleContent__TextWrapper-sc-2yl9jy-8 fYrLtk"> <b>学术编辑器:</gydF4y2Bab>f . Herrera</d我v> <div class="articleContent__PublicationTimeLineWrapper-sc-2yl9jy-4 fjviok"> <div class="articleContent__PublcationCol-sc-2yl9jy-5 hgKieC notPublished"> <span class="articleContent__PublicationField-sc-2yl9jy-6 cIribm">收到了</年代p一个n> <span class="articleContent__PublicationValue-sc-2yl9jy-7 khHUcu">2012年4月20日</年代p一个n> </div> <div class="articleContent__PublcationCol-sc-2yl9jy-5 hgKieC notPublished"> <span class="articleContent__PublicationField-sc-2yl9jy-6 cIribm">接受</年代p一个n> <span class="articleContent__PublicationValue-sc-2yl9jy-7 khHUcu">2012年7月23日</年代p一个n> </div> <div class="articleContent__PublcationCol-sc-2yl9jy-5 hgKieC isPublished"> <span class="articleContent__PublicationField-sc-2yl9jy-6 cIribm">发表</年代p一个n> <span class="articleContent__PublicationValue-sc-2yl9jy-7 khHUcu">2012年8月30日</年代p一个n> </div> </div> </div> <article class="sc-jtRlXQ gvEcCq article_body "> <div> <div class="xml-content"> <h4 class="header" id="abstract">文摘</gydF4y2Bah4> <p>本文描述了一种改进的模糊格推理(FLR)分类器进行模式分类基于积极的估值函数。模糊格推理(FLR)最近被描述为一个点阵数据域扩展的模糊ARTMAP神经分类器基于晶格包含测量功能。在这项工作中,我们提高FLR分类器的性能通过定义一个新的非线性积极估值函数。因此,修改后的算法实现了更好的分类结果。修改的有效性FLR通过实例演示了几个著名的模式识别基准。</pgydF4y2Ba> <span class="end-abs"></span> <h4 id="introduction">1。介绍</gydF4y2Bah4> <p>关注最近支付晶格理论的应用程序(<一个href="#B1">1</一个>)在不同的领域包括神经网络(<一个href="#B2">2</一个>]。人工神经网络的计算是基于晶格代数已经成为被称为形态神经网络(<一个href="#B3">3</一个>,<一个href="#B4">4</一个>]。格很受欢迎在数学形态学包括图像处理应用程序<一个href="#B5">5</一个>,<一个href="#B6">6</一个>]。此外,代数格已被用于建模联想记忆(<一个href="#B7">7</一个>]。在[<一个href="#B8">8</一个>),在联想记忆存储能力限制的问题<一个href="#B9">9</一个>,<一个href="#B10">10</一个>)已经被提出了单向和双向晶格联想记忆。此外,晶格中隐式地使用等神经网络模糊艺术和min-max [<一个href="#B11">11</一个>,<一个href="#B12">12</一个>)的解释(<一个href="#B2">2</一个>,<一个href="#B13">13</一个>]。实际利用晶格理论是模型不确定性信息的能力和不同类型的格序数据(<一个href="#B14">14</一个>]。的模糊格南达在1989年的基础上,提出模糊偏序关系的概念(<一个href="#B15">15</一个>]。一些作者使用“模糊概念格”在数学强调晶格的代数性质的理想(<一个href="#B16">16</一个>,<一个href="#B17">17</一个>]。此外,研究了模糊概念格的概念在<一个href="#B18">18</一个>- - - - - -<一个href="#B20">20.</一个>]。Sussner和Esmi<一个href="#B21">21</一个>]介绍了形态感知器的融合模糊竞争学习的晶格。模糊格也被用于聚类和分类算法。更具体地说,独立于形态神经网络的发展,Petridis和Kaburlasos<一个href="#B13">13</一个>晶格理论中找到了灵感和版本的艺术模式,设计了另一个成功lattice-based计算智能方法。因此,他们提出了一个全新的和固有的层次化的方法在神经元计算名叫模糊晶格neurocomputing (FLN) [<一个href="#B14">14</一个>]。此外,模糊格推理(FLR)分类器被宣布为诱导描述性的,决策知识(规则)的数学数据域包括空间<年代vg height="13.525" id="M1" style="vertical-align:-0.0pt;width:22.612499px;" version="1.1" viewbox="0 0 22.612499 13.525" width="22.612499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.525)"> <g transform="translate(72,-61.18)"> <text transform="matrix(1,0,0,-1,-71.95,61.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-62.7,66.24)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>,它已经成功地应用于各种各样的问题,如环境臭氧估计(<一个href="#B22">22</一个>)以及空气质量评估(<一个href="#B23">23</一个>]。FLR决策是基于一个包含测量功能;此外,包括测量的定义是建立在积极的估值函数。</pgydF4y2Ba> <p>原FLR模型采用线性积极估值函数定义一个包含措施。刘等人。<一个href="#B24">24</一个>)提出了一个非线性估值函数(反正切)计算包含测量功能和成功应用这几个数据集标准。</pgydF4y2Ba> <p>在这项工作中,我们FLR算法适用于解决模式分类问题没有特征提取和基于新的非线性积极改善其性能评估函数。因此,修改后的算法实现了更好的分类结果。修改的有效性FLR通过实例演示了几个著名的基准。</pgydF4y2Ba> <p>这篇文章的布局如下。节<一个href="#sec2">2</一个>,模糊了晶格的数学背景。部分<一个href="#sec3">3</一个>解释修改模糊格推理分类器模型。部分<一个href="#sec4">4</一个>提供了实验结果,证明修改FLR的性能。最后,部分<一个href="#sec5">5</一个>总结了这项工作的结果。</pgydF4y2Ba> <h4 id="mathematical-background">2。数学背景</gydF4y2Bah4> <p>一个格子<年代vg height="13.45" id="M2" style="vertical-align:-2.21957pt;width:43.162498px;" version="1.1" viewbox="0 0 43.162498 13.45" width="43.162498" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="13.015623" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="18.216871" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="30.257259" y="0"> )</t年代p一个n> </text> </g> </g> </svg>是一个部分有序的集合(或者简单,偏序集),两个的元素吗<年代vg height="12.7625" id="M3" style="vertical-align:-1.76814pt;width:52.287498px;" version="1.1" viewbox="0 0 52.287498 12.7625" width="52.287498" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,12.7625)"> <g transform="translate(72,-61.79)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2765059" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.477754" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="20.829998" y="0"> ∈</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.870388" y="0"> </t年代p一个n> </text> </g> </g> </svg>有最大下界吗<年代vg height="13.625" id="M4" style="vertical-align:-2.26974pt;width:112.1875px;" version="1.1" viewbox="0 0 112.1875 13.625" width="112.1875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.625)"> <g transform="translate(72,-61.1)"> <text transform="matrix(1,0,0,-1,-71.95,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.0521717" y="0"> ∧</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.579699" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="28.931942" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="40.959827" y="0"> 我</t年代p一个n> <tspan style="font-size: 12.50px; " x="44.435661" y="0"> n</t年代p一个n> <tspan style="font-size: 12.50px; " x="50.68716" y="0"> f</t年代p一个n> <tspan style="font-size: 12.50px; " x="60.276962" y="0"> {</t年代p一个n> <tspan style="font-size: 12.50px; " x="66.278404" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="72.554909" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="77.756157" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="83.632568" y="0"> }</t年代p一个n> </text> </g> </g> </svg>和一个最小上界<年代vg height="14.1375" id="M5" style="vertical-align:-2.72118pt;width:114.9625px;" version="1.1" viewbox="0 0 114.9625 14.1375" width="114.9625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.1375)"> <g transform="translate(72,-60.69)"> <text transform="matrix(1,0,0,-1,-71.95,63.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.0521717" y="0"> ∨</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.579699" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="28.931942" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="40.959827" y="0"> 年代</t年代p一个n> <tspan style="font-size: 12.50px; " x="45.823494" y="0"> u</t年代p一个n> <tspan style="font-size: 12.50px; " x="52.074993" y="0"> p</t年代p一个n> <tspan style="font-size: 12.50px; " x="62.502499" y="0"> {</t年代p一个n> <tspan style="font-size: 12.50px; " x="68.503937" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="74.780441" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="79.981689" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="85.858101" y="0"> }</t年代p一个n> </text> </g> </g> </svg>。晶格的操作<年代vg height="8.9499998" id="M6" style="vertical-align:-0.36366pt;width:9.8125px;" version="1.1" viewbox="0 0 9.8125 8.9499998" width="9.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,8.95)"> <g transform="translate(72,-64.84)"> <text transform="matrix(1,0,0,-1,-71.95,65.25)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ∧</t年代p一个n> </text> </g> </g> </svg>和<年代vg height="8.9499998" id="M7" style="vertical-align:-0.36366pt;width:9.8125px;" version="1.1" viewbox="0 0 9.8125 8.9499998" width="9.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,8.95)"> <g transform="translate(72,-64.84)"> <text transform="matrix(1,0,0,-1,-71.95,65.25)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ∨</t年代p一个n> </text> </g> </g> </svg>分别也叫做满足并加入。一个格子<年代vg height="13.45" id="M8" style="vertical-align:-2.21957pt;width:43.162498px;" version="1.1" viewbox="0 0 43.162498 13.45" width="43.162498" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="13.015623" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="18.216871" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="30.257259" y="0"> )</t年代p一个n> </text> </g> </g> </svg>被称为完全在它的每个子集最大最小上界和下界吗<年代vg height="10.325" id="M9" style="vertical-align:-0.0pt;width:11.1875px;" version="1.1" viewbox="0 0 11.1875 10.325" width="11.1875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>(<一个href="#B1">1</一个>]。一个非空完整晶格有最小元素和最大的元素用<年代vg height="10.75" id="M10" style="vertical-align:-0.13794pt;width:11.875px;" version="1.1" viewbox="0 0 11.875 10.75" width="11.875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.75)"> <g transform="translate(72,-63.4)"> <text transform="matrix(1,0,0,-1,-71.95,63.59)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>和<年代vg height="10.325" id="M11" style="vertical-align:-0.0pt;width:9.0375004px;" version="1.1" viewbox="0 0 9.0375004 10.325" width="9.0375004" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>,分别。逆<年代vg height="11.25" id="M12" style="vertical-align:-1.29163pt;width:15.175px;" version="1.1" viewbox="0 0 15.175 11.25" width="15.175" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.25)"> <g transform="translate(72,-63)"> <text transform="matrix(1,0,0,-1,-71.95,64.34)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ≥</t年代p一个n> </text> </g> </g> </svg>订单的关系<年代vg height="11.25" id="M13" style="vertical-align:-1.29163pt;width:15.175px;" version="1.1" viewbox="0 0 15.175 11.25" width="15.175" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.25)"> <g transform="translate(72,-63)"> <text transform="matrix(1,0,0,-1,-71.95,64.34)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ≤</t年代p一个n> </text> </g> </g> </svg>本身就是一个订单的关系。订单<年代vg height="11.25" id="M14" style="vertical-align:-1.29163pt;width:15.175px;" version="1.1" viewbox="0 0 15.175 11.25" width="15.175" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.25)"> <g transform="translate(72,-63)"> <text transform="matrix(1,0,0,-1,-71.95,64.34)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ≥</t年代p一个n> </text> </g> </g> </svg>被称为<我>双</我>的顺序<年代vg height="11.25" id="M15" style="vertical-align:-1.29163pt;width:15.175px;" version="1.1" viewbox="0 0 15.175 11.25" width="15.175" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.25)"> <g transform="translate(72,-63)"> <text transform="matrix(1,0,0,-1,-71.95,64.34)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ≤</t年代p一个n> </text> </g> </g> </svg>象征性地<年代vg height="15.3" id="M16" style="vertical-align:-1.29163pt;width:21.387501px;" version="1.1" viewbox="0 0 21.387501 15.3" width="21.387501" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,15.3)"> <g transform="translate(72,-59.76)"> <text transform="matrix(1,0,0,-1,-71.95,61.1)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ≤</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-59.91,66.1)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>。一个格子<年代vg height="13.45" id="M17" style="vertical-align:-2.21957pt;width:43.162498px;" version="1.1" viewbox="0 0 43.162498 13.45" width="43.162498" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="13.015623" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="18.216871" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="30.257259" y="0"> )</t年代p一个n> </text> </g> </g> </svg>可以的笛卡儿积<年代vg height="10.325" id="M18" style="vertical-align:-0.0pt;width:14.8375px;" version="1.1" viewbox="0 0 14.8375 10.325" width="14.8375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>组成点阵<年代vg height="14.2375" id="M19" style="vertical-align:-3.13504pt;width:70.525002px;" version="1.1" viewbox="0 0 70.525002 14.2375" width="70.525002" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.2375)"> <g transform="translate(72,-60.61)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-63.1,60.66)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-58.22,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> …</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.79225" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.993498" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-24.37,60.66)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>,也就是说,<年代vg height="14.2375" id="M20" style="vertical-align:-3.13504pt;width:123.3px;" version="1.1" viewbox="0 0 123.3 14.2375" width="123.3" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.2375)"> <g transform="translate(72,-60.61)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="12.315455" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.355844" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-38.73,60.66)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-31.08,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ×</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.853084" y="0"> ⋯</t年代p一个n> <tspan style="font-size: 12.50px; " x="29.294529" y="0"> ×</t年代p一个n> <tspan style="font-size: 12.50px; " x="40.072117" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,17.85,60.66)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>。产品晶格的晶格操作满足并加入定义如下:<年代p一个nclass="equation" id="EEq1"> <svg height="49.775002" id="M21" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 49.775002" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,49.775)"> <g transform="translate(72,-32.18)"> <text transform="matrix(1,0,0,-1,50.98,61.13)"> <tspan style="font-size: 12.50px; " x="40.970001" y="2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="46.82" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.0521717" y="0"> ∧</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.579699" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="28.931942" y="0"> =</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,104.08,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,108.95,61.13)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2137508" y="0"> …</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.79225" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="25.006001" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,140.24,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,148.97,58.62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.6300001" y="-2.51"> ∧</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.25" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="27.1" y="-2.51"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,181.94,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,186.82,61.13)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> …</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.79225" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.993498" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,217.7,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,226.43,58.62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.3299999" y="-2.51"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.370001" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="27.219999" y="-2.51"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,259.92,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,267.58,61.13)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ∧</t年代p一个n> <tspan style="font-size: 12.50px; " x="10.527526" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,283.98,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,288.86,61.13)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> …</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.79225" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.993498" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,320.14,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,331.65,61.13)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ∧</t年代p一个n> <tspan style="font-size: 12.50px; " x="10.527526" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,348.06,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,356.79,58.62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="7.9400001" y="-2.51"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="-264.84" y="24.34"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-258.98999" y="21.83"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-305.81" y="21.83"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-296.75784" y="21.83"> ∨</t年代p一个n> <tspan style="font-size: 12.50px; " x="-286.23032" y="21.83"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-276.87805" y="21.83"> =</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,104.08,33.66)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,108.95,36.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2137508" y="0"> …</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.79225" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="25.006001" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,140.24,33.66)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,148.97,34.28)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.6300001" y="-2.51"> ∨</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.25" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="27.1" y="-2.51"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,181.94,33.66)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,186.82,36.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> …</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.79225" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.993498" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,217.7,33.66)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,226.43,34.28)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.3299999" y="-2.51"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.370001" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="27.219999" y="-2.51"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,259.92,33.66)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,267.58,36.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ∨</t年代p一个n> <tspan style="font-size: 12.50px; " x="10.527526" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,283.98,33.66)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,288.86,36.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> …</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.79225" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.993498" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,320.14,33.66)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,331.65,36.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ∨</t年代p一个n> <tspan style="font-size: 12.50px; " x="10.527526" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,348.06,33.66)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,356.79,34.28)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="7.9400001" y="-2.51"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="117.33" y="-14.68"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="121.4935" y="-14.68"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="127.745" y="-14.68"> )</t年代p一个n> </text> </g> </g> </svg></span></p> <p>估值脆晶格<年代vg height="10.325" id="M22" style="vertical-align:-0.0pt;width:11.1875px;" version="1.1" viewbox="0 0 11.1875 10.325" width="11.1875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>是一个实值函数<年代vg height="10.5375" id="M23" style="vertical-align:-0.16302pt;width:75.699997px;" version="1.1" viewbox="0 0 75.699997 10.5375" width="75.699997" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.5375)"> <g transform="translate(72,-63.57)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.7898493" y="0"> ∶</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.654716" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="34.05817" y="0"> →</t年代p一个n> <tspan style="font-size: 12.50px; " x="51.199783" y="0"> </t年代p一个n> </text> </g> </g> </svg>满足<年代vg height="13.45" id="M24" style="vertical-align:-2.21957pt;width:270.8125px;" version="1.1" viewbox="0 0 270.8125 13.45" width="270.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.3265181" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="10.490017" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="16.766523" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="23.705688" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="35.04591" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="41.372429" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="45.535927" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="51.412334" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="59.05167" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="71.079552" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="77.406075" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="81.569572" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="90.634247" y="0"> ∨</t年代p一个n> <tspan style="font-size: 12.50px; " x="101.16177" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="107.03819" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="113.97735" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="125.31757" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="131.64409" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="135.80759" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="144.87225" y="0"> ∧</t年代p一个n> <tspan style="font-size: 12.50px; " x="155.39978" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="161.2762" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="165.4397" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="174.81694" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="181.09344" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="186.30721" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="195.64694" y="0"> ∈</t年代p一个n> <tspan style="font-size: 12.50px; " x="207.68733" y="0"> </t年代p一个n> </text> </g> </g> </svg>。估值叫做单调当且仅当<年代vg height="12.175" id="M25" style="vertical-align:-1.29163pt;width:34.700001px;" version="1.1" viewbox="0 0 34.700001 12.175" width="34.700001" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,12.175)"> <g transform="translate(72,-62.26)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.7398367" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.780226" y="0"> </t年代p一个n> </text> </g> </g> </svg>在<年代vg height="10.325" id="M26" style="vertical-align:-0.0pt;width:11.1875px;" version="1.1" viewbox="0 0 11.1875 10.325" width="11.1875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>意味着<年代vg height="13.45" id="M27" style="vertical-align:-2.21957pt;width:71.337502px;" version="1.1" viewbox="0 0 71.337502 13.45" width="71.337502" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.3265181" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="10.490017" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="16.766523" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.393353" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.433743" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="42.760262" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="46.923759" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="52.800171" y="0"> )</t年代p一个n> </text> </g> </g> </svg>和积极的当且仅当<年代vg height="10.9375" id="M28" style="vertical-align:-0.30096pt;width:34.700001px;" version="1.1" viewbox="0 0 34.700001 10.9375" width="34.700001" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.9375)"> <g transform="translate(72,-63.25)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.7398367" y="0"> <</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.780226" y="0"> </t年代p一个n> </text> </g> </g> </svg>意味着<年代vg height="13.45" id="M29" style="vertical-align:-2.21957pt;width:71.337502px;" version="1.1" viewbox="0 0 71.337502 13.45" width="71.337502" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.3265181" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="10.490017" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="16.766523" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.393353" y="0"> <</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.433743" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="42.760262" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="46.923759" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="52.800171" y="0"> )</t年代p一个n> </text> </g> </g> </svg>。我们的话,积极评价的目标函数<年代vg height="7.4250002" id="M30" style="vertical-align:-0.11285pt;width:8.0375004px;" version="1.1" viewbox="0 0 8.0375004 7.4250002" width="8.0375004" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.425)"> <g transform="translate(72,-66.06)"> <text transform="matrix(1,0,0,-1,-71.95,66.22)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>是处理格子元素。选择一个合适的估价函数依赖的问题。由FLR决策是基于一个包含测量功能;因此,一个适当的积极估值函数可能会提高性能。</pgydF4y2Ba> <p><span class="statement" id="deff1"><span class="statement-title"><i class="statement-title">定义1。</我></span>一个包含测量<年代vg height="6.9875002" id="M31" style="vertical-align:-0.13794pt;width:9.3000002px;" version="1.1" viewbox="0 0 9.3000002 6.9875002" width="9.3000002" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,6.9875)"> <g transform="translate(72,-66.41)"> <text transform="matrix(1,0,0,-1,-71.95,66.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>用最少的元素<年代vg height="10.75" id="M32" style="vertical-align:-0.13794pt;width:11.875px;" version="1.1" viewbox="0 0 11.875 10.75" width="11.875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.75)"> <g transform="translate(72,-63.4)"> <text transform="matrix(1,0,0,-1,-71.95,63.59)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>和伟大的元素<年代vg height="10.325" id="M33" style="vertical-align:-0.0pt;width:9.0375004px;" version="1.1" viewbox="0 0 9.0375004 10.325" width="9.0375004" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>在一个完整的点阵<年代vg height="10.325" id="M34" style="vertical-align:-0.0pt;width:11.1875px;" version="1.1" viewbox="0 0 11.1875 10.325" width="11.1875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>是一个映射<年代vg height="13.125" id="M35" style="vertical-align:-1.95624pt;width:125.9625px;" version="1.1" viewbox="0 0 125.9625 13.125" width="125.9625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.125)"> <g transform="translate(72,-61.5)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="10.802592" y="0"> ∶</t年代p一个n> <tspan style="font-size: 12.50px; " x="20.667459" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="32.29525" y="0"> ×</t年代p一个n> <tspan style="font-size: 12.50px; " x="43.072834" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="57.488792" y="0"> →</t年代p一个n> <tspan style="font-size: 12.50px; " x="74.617905" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="78.781403" y="0"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="85.032906" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="90.246651" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="96.498154" y="0"> ]</t年代p一个n> </text> </g> </g> </svg>这样,它满足下列条件<一个href="#B2">2</一个>]:<年代p一个nclass="list"><span class="list-item"><span class="list-label">(我)</年代p一个n><span class="list-content"> <svg height="13.45" id="M36" style="vertical-align:-2.21957pt;width:118.6125px;" version="1.1" viewbox="0 0 118.6125 13.45" width="118.6125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="7.3267579" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.490257" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="17.766764" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="22.980515" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="32.13271" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="39.772041" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="51.812431" y="0"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="58.063931" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="69.516678" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="77.881187" y="0"> ≠</t年代p一个n> <tspan style="font-size: 12.50px; " x="88.533745" y="0"> 0</t年代p一个n> </text> </g> </g> </svg>,</年代p一个n></span><span class="list-item"><span class="list-label">(2)</年代p一个n><span class="list-content"> <svg height="13.45" id="M37" style="vertical-align:-2.21957pt;width:75.625px;" version="1.1" viewbox="0 0 75.625 13.45" width="75.625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="7.3267579" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.490257" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="17.766764" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="22.980515" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="29.257021" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.896355" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="48.936741" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="55.188244" y="0"> ,</t年代p一个n> </text> </g> </g> </svg>对所有<年代vg height="10.75" id="M38" style="vertical-align:-0.33858pt;width:38.424999px;" version="1.1" viewbox="0 0 38.424999 10.75" width="38.424999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.75)"> <g transform="translate(72,-63.4)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.7398367" y="0"> ∈</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.780226" y="0"> </t年代p一个n> </text> </g> </g> </svg>,</年代p一个n></span><span class="list-item"><span class="list-label">(3)</年代p一个n><span class="list-content"> <svg height="13.45" id="M39" style="vertical-align:-2.21957pt;width:168.02499px;" version="1.1" viewbox="0 0 168.02499 13.45" width="168.02499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.7398367" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.780226" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="35.295967" y="0"> ⇒</t年代p一个n> <tspan style="font-size: 12.50px; " x="54.513081" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="61.852341" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="66.015839" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="71.204582" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="76.418335" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="82.694839" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="90.334175" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="102.36206" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="109.70132" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="113.86482" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="119.05357" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="124.26732" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="130.14372" y="0"> )</t年代p一个n> </text> </g> </g> </svg>,尽管<年代vg height="12.7625" id="M40" style="vertical-align:-1.76814pt;width:65.275002px;" version="1.1" viewbox="0 0 65.275002 12.7625" width="65.275002" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,12.7625)"> <g transform="translate(72,-61.79)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2765059" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.477754" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="17.354164" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="22.567915" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="31.232494" y="0"> ∈</t年代p一个n> <tspan style="font-size: 12.50px; " x="43.26038" y="0"> </t年代p一个n> </text> </g> </g> </svg>(一致性属性)。</年代p一个n></span></span></span></p> <p>它显示一个包含测量表明,在很大程度上,一个模糊集是包含在另一个。</pgydF4y2Ba> <p><span class="statement" id="thm1"><span class="statement-title">定理2。</年代p一个n><i>一个积极的评价函数<年代vg height="10.5375" id="M41" style="vertical-align:-0.16302pt;width:75.699997px;" version="1.1" viewbox="0 0 75.699997 10.5375" width="75.699997" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.5375)"> <g transform="translate(72,-63.57)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.7898493" y="0"> ∶</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.654716" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="34.05817" y="0"> →</t年代p一个n> <tspan style="font-size: 12.50px; " x="51.199783" y="0"> </t年代p一个n> </text> </g> </g> </svg>在一个格子<年代vg height="13.45" id="M42" style="vertical-align:-2.21957pt;width:43.162498px;" version="1.1" viewbox="0 0 43.162498 13.45" width="43.162498" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="13.015623" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="18.216871" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="30.257259" y="0"> )</t年代p一个n> </text> </g> </g> </svg>与<年代vg height="13.45" id="M43" style="vertical-align:-2.21957pt;width:57.087502px;" version="1.1" viewbox="0 0 57.087502 13.45" width="57.087502" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.3265181" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="10.490017" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="19.642214" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="27.269043" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="39.309433" y="0"> 0</t年代p一个n> </text> </g> </g> </svg>是两个包含措施的充分条件(<一个href="#B2">2</一个>]:</我><span class="equation" id="EEq3"> <svg height="80.425003" id="M44" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 80.425003" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,80.425)"> <g transform="translate(72,-7.66)"> <text transform="matrix(1,0,0,-1,122.96,55.27)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.8521242" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="13.015623" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="19.892273" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="25.106024" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="31.032446" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="38.67178" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="62" y="-8.2200003"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="70.402016" y="-8.2200003"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="74.565514" y="-8.2200003"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="80.491936" y="-8.2200003"> )</t年代p一个n> </text> <g> <path d="m 174.87,58.4 42.85,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,174.87,46.52)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.4020157" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.565515" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="22.217831" y="0"> ∨</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.757858" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="38.68428" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="44.049999" y="-8.75"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="59.216141" y="-8.75"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="63.379639" y="-8.75"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="73.031952" y="-8.75"> ∨</t年代p一个n> <tspan style="font-size: 12.50px; " x="83.559479" y="-8.75"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="91.573906" y="-8.75"> ≠</t年代p一个n> <tspan style="font-size: 12.50px; " x="102.21396" y="-8.75"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="111.61621" y="-8.75"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="117.86771" y="-8.75"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="-41.650002" y="27.85"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-34.073181" y="27.85"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="-29.909683" y="27.85"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-23.033033" y="27.85"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="-17.819283" y="27.85"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-11.89286" y="27.85"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="-4.2535272" y="27.85"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="8.9799995" y="19.629999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="17.382015" y="19.629999"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.545515" y="19.629999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="31.19783" y="19.629999"> ∧</t年代p一个n> <tspan style="font-size: 12.50px; " x="41.737862" y="19.629999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="47.664284" y="19.629999"> )</t年代p一个n> </text> <g> <path d="m 183.85,21.79 42.85,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,193.47,9.91)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.4099998" y="-0.0099999998"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.573499" y="-0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="19.45015" y="-0.0099999998"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="34.43" y="-8.7600002"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="49.596138" y="-8.7600002"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="53.75964" y="-8.7600002"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="62.711784" y="-8.7600002"> ≠</t年代p一个n> <tspan style="font-size: 12.50px; " x="73.364342" y="-8.7600002"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="82.766602" y="-8.7600002"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="89.018097" y="-8.7600002"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="280.64999" y="-26.790001"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="284.81351" y="-26.790001"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="291.065" y="-26.790001"> )</t年代p一个n> </text> </g> </g> </svg></span><i></i></span></p> <p>在我们的实验中,在点阵数据规范化<年代vg height="15.9625" id="M45" style="vertical-align:-1.95624pt;width:74.050003px;" version="1.1" viewbox="0 0 74.050003 15.9625" width="74.050003" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,15.9625)"> <g transform="translate(72,-59.23)"> <text transform="matrix(1,0,0,-1,-71.95,61.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="12.315455" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.355844" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="28.519342" y="0"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="34.770844" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="39.984592" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="46.236095" y="0"> ]</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-21.55,66.24)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>,即单位<年代vg height="10.325" id="M46" style="vertical-align:-0.0pt;width:14.8375px;" version="1.1" viewbox="0 0 14.8375 10.325" width="14.8375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>维超立方体,<年代vg height="10.325" id="M47" style="vertical-align:-0.0pt;width:14.8375px;" version="1.1" viewbox="0 0 14.8375 10.325" width="14.8375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>输入数据的维数。此外,我们提出以下非线性积极估值函数:<年代p一个nclass="equation" id="EEq5"> <svg height="50.662498" id="M48" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 50.662498" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,50.6625)"> <g transform="translate(72,-31.47)"> <text transform="matrix(1,0,0,-1,47.16,47.82)"> <tspan style="font-size: 12.50px; " x="31.48" y="2.52"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="37.330002" y="0.039999999"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="59.200001" y="0.039999999"> ]</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> ∀</t年代p一个n> <tspan style="font-size: 12.50px; " x="7.0016799" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="17.354164" y="0"> ∈</t年代p一个n> <tspan style="font-size: 12.50px; " x="41.490002" y="7.1054274e-015"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="47.741501" y="7.1054274e-015"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="52.942749" y="7.1054274e-015"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,110.53,52.99)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,119.26,47.82)"> <tspan style="font-size: 12.50px; " x="17.25" y="2.52"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="25.18" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="40.346138" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="48.760658" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="52.924156" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="59.800808" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="67.44014" y="0"> =</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,202.7,63.76)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,198.74,41.27)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,200.27,34.09)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="2.7218721" y="0"> =</t年代p一个n> <tspan style="font-size: 8.75px; " x="8.7169924" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,216.98,47.82)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,223.86,44.69)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,229.16,47.82)"> <tspan style="font-size: 12.50px; " x="13.9" y="2.52"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="19.75" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> l</t年代p一个n> <tspan style="font-size: 12.50px; " x="3.4758339" y="0"> n</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,255.78,44.69)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,261.78,47.82)"> <tspan style="font-size: 12.50px; " x="17.700001" y="2.52"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="64.75" y="0.039999999"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="25.629999" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="40.796139" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="50.623497" y="0"> ∈</t年代p一个n> <tspan style="font-size: 12.50px; " x="68.910004" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="75.161499" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="80.375252" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="88.939804" y="0"> ∞</t年代p一个n> <tspan style="font-size: 12.50px; " x="100.51759" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="106.75658" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="212.34" y="-0.79000002"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="216.50349" y="-0.79000002"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="222.755" y="-0.79000002"> )</t年代p一个n> </text> </g> </g> </svg></span>在哪里<年代vg height="9.9375" id="M49" style="vertical-align:-2.34499pt;width:8.0625px;" version="1.1" viewbox="0 0 8.0625 9.9375" width="8.0625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,9.9375)"> <g transform="translate(72,-64.05)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>被称为位置参数。不失一般性,我们<年代vg height="14.6" id="M50" style="vertical-align:-3.13504pt;width:221.21249px;" version="1.1" viewbox="0 0 221.21249 14.6" width="221.21249" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.6)"> <g transform="translate(72,-60.32)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.7398367" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.780226" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="25.943726" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-39.72,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-34.85,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> …</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.79225" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="25.006001" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-3.57,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,5.17,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="7.6268301" y="0"> ≥</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.667219" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="29.019463" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="41.047348" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="45.21085" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,56.27,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,61.14,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> …</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.79225" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="25.006001" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,92.03,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,100.76,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代p一个n> </text> </g> </g> </svg>,也就是说,<年代vg height="14.7125" id="M51" style="vertical-align:-3.2316pt;width:129.89999px;" version="1.1" viewbox="0 0 129.89999 14.7125" width="129.89999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.7125)"> <g transform="translate(72,-60.23)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-65.67,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-58.98,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ≥</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-41.07,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-37.85,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="7.2892489" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="14.653516" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="26.693905" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.945404" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="38.146652" y="0"> …</t年代p一个n> <tspan style="font-size: 12.50px; " x="52.737656" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="57.951405" y="0"> </t年代p一个n> </text> </g> </g> </svg>:<年代p一个nclass="equation" id="eq4"> <svg height="324.51251" id="M52" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 324.51251" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,324.5125)"> <g transform="translate(72,187.61)"> <text transform="matrix(1,0,0,-1,94.58,63.2)"> <tspan style="font-size: 12.50px; " x="23.4" y="36.849998"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.4020157" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.565515" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="21.617687" y="0"> ∨</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.145214" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="38.021622" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="44.973289" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="56.313511" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="64.728027" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="68.891533" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="77.943703" y="0"> ∧</t年代p一个n> <tspan style="font-size: 12.50px; " x="88.47123" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="94.347641" y="0"> )</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,133.97,42.29)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,130.01,19.8)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,131.54,12.62)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="2.7218721" y="0"> =</t年代p一个n> <tspan style="font-size: 8.75px; " x="8.7169924" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,148.25,26.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,154.58,23.22)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,159.88,23.84)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="5.8499999" y="-2.51"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,172.01,23.22)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,178.01,26.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ∨</t年代p一个n> <tspan style="font-size: 12.50px; " x="10.527526" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,194.42,23.22)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,197.64,23.84)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.6300001" y="-2.51"> +</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,221.57,42.29)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,217.61,19.8)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,219.14,12.62)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="2.7218721" y="0"> =</t年代p一个n> <tspan style="font-size: 8.75px; " x="8.7169924" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,235.85,26.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,242.17,23.22)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,247.48,23.84)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="5.8499999" y="-2.51"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,259.61,23.22)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,265.6,26.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ∧</t年代p一个n> <tspan style="font-size: 12.50px; " x="10.527526" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,282.01,23.22)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,285.23,23.84)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-167.25" y="46.889999"> =</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,133.97,-7.11)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,130.01,-29.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,131.54,-36.78)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="2.7218721" y="0"> =</t年代p一个n> <tspan style="font-size: 8.75px; " x="8.7169924" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,148.25,-25.57)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="5.8499999" y="-2.52"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,160.38,-26.18)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,166.38,-23.05)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ∨</t年代p一个n> <tspan style="font-size: 12.50px; " x="10.527526" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,182.79,-26.18)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,186.01,-25.57)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="21.83" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="27.68" y="-2.52"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="7.9299998" y="-2.52"> l</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.405834" y="-2.52"> n</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,219.96,-26.18)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,225.96,-23.05)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ∨</t年代p一个n> <tspan style="font-size: 12.50px; " x="10.527526" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,242.37,-26.18)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,248.37,-23.05)"> <tspan style="font-size: 12.50px; " x="17.690001" y="2.52"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-121.13" y="49.400002"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,142.55,-56.51)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,138.59,-79.01)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,140.12,-86.18)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="2.7218721" y="0"> =</t年代p一个n> <tspan style="font-size: 8.75px; " x="8.7169924" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,156.83,-74.97)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="5.8499999" y="-2.52"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,168.95,-75.58)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,174.95,-72.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ∧</t年代p一个n> <tspan style="font-size: 12.50px; " x="10.527526" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,191.36,-75.58)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,194.58,-74.97)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="21.83" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="27.68" y="-2.52"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="7.9299998" y="-2.52"> l</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.405834" y="-2.52"> n</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,228.54,-75.58)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,234.54,-72.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ∧</t年代p一个n> <tspan style="font-size: 12.50px; " x="10.515023" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,250.94,-75.58)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,256.94,-72.45)"> <tspan style="font-size: 12.50px; " x="17.700001" y="2.52"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-138.96001" y="49.41"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,133.97,-105.91)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,130.01,-128.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,131.54,-135.59)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="2.7218721" y="0"> =</t年代p一个n> <tspan style="font-size: 8.75px; " x="8.7169924" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,148.25,-121.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,154.53,-124.98)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,159.83,-121.86)"> <tspan style="font-size: 12.50px; " x="13.9" y="2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="19.75" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> l</t年代p一个n> <tspan style="font-size: 12.50px; " x="3.4758339" y="0"> n</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,185.86,-124.98)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,191.85,-121.86)"> <tspan style="font-size: 12.50px; " x="17.700001" y="2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="26.33" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,233.48,-105.91)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,229.52,-128.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,231.05,-135.59)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="2.7218721" y="0"> =</t年代p一个n> <tspan style="font-size: 8.75px; " x="8.7169924" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,247.76,-121.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,253.64,-124.98)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,258.94,-121.86)"> <tspan style="font-size: 12.50px; " x="13.9" y="2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="19.75" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> l</t年代p一个n> <tspan style="font-size: 12.50px; " x="3.4758339" y="0"> n</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,284.56,-124.98)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,290.56,-121.86)"> <tspan style="font-size: 12.50px; " x="17.700001" y="2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-172.58" y="49.400002"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,133.97,-155.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,130.01,-177.81)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,131.54,-184.99)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="2.7218721" y="0"> =</t年代p一个n> <tspan style="font-size: 8.75px; " x="8.7169924" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,148.25,-171.26)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,154.58,-174.38)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,159.88,-173.77)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="5.8499999" y="-2.51"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,172.01,-174.38)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,175.23,-173.77)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.6300001" y="-2.51"> +</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,199.16,-155.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,195.2,-177.81)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,196.73,-184.99)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="2.7218721" y="0"> =</t年代p一个n> <tspan style="font-size: 8.75px; " x="8.7169924" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,213.44,-171.26)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,219.77,-174.38)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,225.07,-173.77)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="5.8499999" y="-2.51"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,236.8,-174.38)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,240.02,-173.77)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.3199997" y="-2.51"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.36039" y="-2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="29.762405" y="-2.51"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="33.925903" y="-2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="40.202412" y="-2.51"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="47.154079" y="-2.51"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="58.494301" y="-2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="66.896317" y="-2.51"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="71.059814" y="-2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="76.936226" y="-2.51"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="83.187721" y="-2.51"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="234.10001" y="-112.84"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="238.2635" y="-112.84"> 4</t年代p一个n> <tspan style="font-size: 12.50px; " x="244.515" y="-112.84"> )</t年代p一个n> </text> </g> </g> </svg></span>此外,该估值函数是一个严格递增函数,因此对于任何<年代vg height="16.2875" id="M53" style="vertical-align:-2.21957pt;width:257.32501px;" version="1.1" viewbox="0 0 257.32501 16.2875" width="257.32501" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.2875)"> <g transform="translate(72,-58.97)"> <text transform="matrix(1,0,0,-1,-71.95,61.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2765059" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.477754" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="20.829998" y="0"> ∈</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.870388" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="37.033886" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="41.197384" y="0"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="47.448887" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="52.650131" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="58.901634" y="0"> ]</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-8.87,66.24)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-0.14,61.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="17.241636" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.405136" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="26.618887" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="36.358723" y="0"> <</t年代p一个n> <tspan style="font-size: 12.50px; " x="48.399113" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="57.751358" y="0"> ⇒</t年代p一个n> <tspan style="font-size: 12.50px; " x="76.968468" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="83.294983" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="87.458488" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="93.734993" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="101.37432" y="0"> <</t年代p一个n> <tspan style="font-size: 12.50px; " x="113.41471" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="119.74123" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="123.90473" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="129.78114" y="0"> )</t年代p一个n> </text> </g> </g> </svg>。最后,上述函数(<一个href="#EEq5">3</一个>)地图格子的最小元素<年代vg height="16.2875" id="M54" style="vertical-align:-2.21957pt;width:75.5625px;" version="1.1" viewbox="0 0 75.5625 16.2875" width="75.5625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.2875)"> <g transform="translate(72,-58.97)"> <text transform="matrix(1,0,0,-1,-71.95,61.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="8.3269978" y="0"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="14.578498" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.779745" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="26.031246" y="0"> ]</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-41.75,66.24)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-33.01,61.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="17.241636" y="0"> )</t年代p一个n> </text> </g> </g> </svg>为零。另一方面,<年代vg height="19.799999" id="M55" style="vertical-align:-3.80836pt;width:198.89999px;" version="1.1" viewbox="0 0 198.89999 19.799999" width="198.89999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,19.8)"> <g transform="translate(72,-56.16)"> <text transform="matrix(1,0,0,-1,-71.95,60)"> <tspan style="font-size: 12.50px; " x="39.32" y="0.02"> ∑</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.3265181" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="10.490017" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="19.642214" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="27.269043" y="0"> =</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-21.21,66.24)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="0" y="9.9399996"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="2.7218721" y="9.9399996"> =</t年代p一个n> <tspan style="font-size: 8.75px; " x="8.7169924" y="9.9399996"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-5.53,60)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="9.0271664" y="0"> ×</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.892754" y="0"> l</t年代p一个n> <tspan style="font-size: 12.50px; " x="25.368587" y="0"> n</t年代p一个n> <tspan style="font-size: 12.50px; " x="35.783585" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="39.947086" y="0"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="48.974251" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="60.314472" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="66.665993" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="74.305328" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="86.345718" y="0"> 0</t年代p一个n> </text> </g> </g> </svg>。</pgydF4y2Ba> <p>上述估值函数在一个更灵活的方式与其他估值相比在文献中提出。首先,FLR的性能可以通过选择不同的位置参数值进行了优化。第二,如果第一个变量<年代vg height="7.1624999" id="M56" style="vertical-align:-0.11285pt;width:8.7250004px;" version="1.1" viewbox="0 0 8.7250004 7.1624999" width="8.7250004" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1625)"> <g transform="translate(72,-66.27)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>被假定为常数,那么它将被转换成吗<年代vg height="13.725" id="M57" style="vertical-align:-2.34499pt;width:108.3875px;" version="1.1" viewbox="0 0 108.3875 13.725" width="108.3875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.725)"> <g transform="translate(72,-61.02)"> <text transform="matrix(1,0,0,-1,-71.95,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.3265181" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="10.490017" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="17.366667" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.993498" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="37.033886" y="0"> l</t年代p一个n> <tspan style="font-size: 12.50px; " x="40.50972" y="0"> n</t年代p一个n> <tspan style="font-size: 12.50px; " x="50.924721" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="55.088219" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="64.753036" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="76.093262" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="82.444778" y="0"> )</t年代p一个n> </text> </g> </g> </svg>在空间<年代vg height="10.325" id="M58" style="vertical-align:-0.0pt;width:11.6875px;" version="1.1" viewbox="0 0 11.6875 10.325" width="11.6875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>,在一些特殊的应用程序,它可能是一个合适的估值函数。人可能会说它不满足条件<年代vg height="13.45" id="M59" style="vertical-align:-2.21957pt;width:57.087502px;" version="1.1" viewbox="0 0 57.087502 13.45" width="57.087502" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.3265181" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="10.490017" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="19.642214" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="27.269043" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="39.309433" y="0"> 0</t年代p一个n> </text> </g> </g> </svg>在这种情况下,它可以定义如下<一个href="#B14">14</一个>]:<年代p一个nclass="equation" id="EEq6"> <svg height="17.2875" id="M60" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 17.2875" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,17.2875)"> <g transform="translate(72,-58.17)"> <text transform="matrix(1,0,0,-1,126.87,62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,133.2,67.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,138.75,62.01)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="11.040149" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="18.679482" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="30.707369" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="39.121887" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="43.285385" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="50.162037" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="57.1012" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="68.441422" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="76.855942" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="81.01944" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="90.4217" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="96.673195" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="111.83933" y="0"> ∀</t年代p一个n> <tspan style="font-size: 12.50px; " x="118.84102" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="129.1935" y="0"> ∈</t年代p一个n> <tspan style="font-size: 12.50px; " x="141.23389" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="150.08601" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="335.37" y="0.029999999"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="339.53351" y="0.029999999"> 5</t年代p一个n> <tspan style="font-size: 12.50px; " x="345.785" y="0.029999999"> )</t年代p一个n> </text> </g> </g> </svg></span></p> <p>图<一个href="//www.newsama.com/journals/afs/2012/206121/fig1/" target="_blank">1(一)</一个>情节的估值函数<年代vg height="13.725" id="M61" style="vertical-align:-2.34499pt;width:108.3875px;" version="1.1" viewbox="0 0 108.3875 13.725" width="108.3875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.725)"> <g transform="translate(72,-61.02)"> <text transform="matrix(1,0,0,-1,-71.95,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.3265181" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="10.490017" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="17.366667" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.993498" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="37.033886" y="0"> l</t年代p一个n> <tspan style="font-size: 12.50px; " x="40.50972" y="0"> n</t年代p一个n> <tspan style="font-size: 12.50px; " x="50.924721" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="55.088219" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="64.753036" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="76.093262" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="82.444778" y="0"> )</t年代p一个n> </text> </g> </g> </svg>,而图<一个href="//www.newsama.com/journals/afs/2012/206121/fig1/" target="_blank">1 (b)</一个>情节<年代vg height="13.725" id="M62" style="vertical-align:-2.34499pt;width:119.5875px;" version="1.1" viewbox="0 0 119.5875 13.725" width="119.5875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.725)"> <g transform="translate(72,-61.02)"> <text transform="matrix(1,0,0,-1,-71.95,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.3265181" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="10.490017" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="17.366667" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.993498" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="37.033886" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="45.998535" y="0"> l</t年代p一个n> <tspan style="font-size: 12.50px; " x="49.474373" y="0"> n</t年代p一个n> <tspan style="font-size: 12.50px; " x="59.88937" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="64.052872" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="73.705185" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="85.045403" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="91.396927" y="0"> )</t年代p一个n> </text> </g> </g> </svg>为<年代vg height="13.6125" id="M63" style="vertical-align:-2.34499pt;width:35.262501px;" version="1.1" viewbox="0 0 35.262501 13.6125" width="35.262501" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6125)"> <g transform="translate(72,-61.11)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.8148546" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.855244" y="0"> 1</t年代p一个n> </text> </g> </g> </svg>。</pgydF4y2Ba> <div class="floats-partial-section partial-carousel-wrapper" data-section="fig1"> <div class="floats-partial-content fig-content-fig1"> <div class="partial-carousel--single-image"> <img alt="(一)”gydF4y2Baname="206121.fig.001a" src="https://static-01.hindawi.com/articles/afs/volume-2012/206121/figures/206121.fig.001a.jpg"> <br> <strong>(一)</年代trong> </div> <div class="partial-carousel--single-image"> <img alt="(b)”gydF4y2Baname="206121.fig.001b" src="https://static-01.hindawi.com/articles/afs/volume-2012/206121/figures/206121.fig.001b.jpg"> <br> <strong>(b)</年代trong> </div> </div> <div class="floats-partial-middle"> <div class="floats-partial-middle--thumbs fig-thumbs-fig1"> <button class="partial-carousel-dot" aria-label="(a)"><img alt="(一)”gydF4y2Baname="206121.fig.001a" src="https://static-01.hindawi.com/articles/afs/volume-2012/206121/figures/206121.fig.001a.jpg"><br><strong>(一)</年代trong></button> <button class="partial-carousel-dot" aria-label="(b)"><img alt="(b)”gydF4y2Baname="206121.fig.001b" src="https://static-01.hindawi.com/articles/afs/volume-2012/206121/figures/206121.fig.001b.jpg"><br><strong>(b)</年代trong></button> </div> <div class="partial-carousel-next-prev fig-nav-fig1"> <button class="carousel-prev" aria-label="Previous"></button> <button class="carousel-next" aria-label="Next"></button> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图1</年代p一个n> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/afs/2012/206121/fig1/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <svg height="13.5625" id="M64" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 61.962502 13.5625" width="61.962502" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.5625)"> <g transform="translate(72,-61.15)"> <text transform="matrix(1,0,0,-1,-71.95,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> l</t年代p一个n> <tspan style="font-size: 12.50px; " x="3.4758339" y="0"> n</t年代p一个n> <tspan style="font-size: 12.50px; " x="13.890833" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="18.054333" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="27.706648" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="39.046867" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="45.29837" y="0"> )</t年代p一个n> </text> </g> </g> </svg> <svg height="13.5625" id="M65" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 73.162498 13.5625" width="73.162498" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.5625)"> <g transform="translate(72,-61.15)"> <text transform="matrix(1,0,0,-1,-71.95,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.9521484" y="0"> l</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.427982" y="0"> n</t年代p一个n> <tspan style="font-size: 12.50px; " x="22.842981" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="27.006479" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="36.671299" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="48.01152" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="54.26302" y="0"> )</t年代p一个n> </text> </g> </g> </svg> <table> 积极的估值功能:(a)gydF4y2Ba和(b)gydF4y2Ba。</t一个ble> </div> </div> </div> <p>一个格子<年代vg height="13.45" id="M66" style="vertical-align:-2.21957pt;width:43.162498px;" version="1.1" viewbox="0 0 43.162498 13.45" width="43.162498" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="13.015623" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="18.216871" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="30.257259" y="0"> )</t年代p一个n> </text> </g> </g> </svg>完全是命令当且仅当对吗<年代vg height="12.7625" id="M67" style="vertical-align:-1.76814pt;width:52.287498px;" version="1.1" viewbox="0 0 52.287498 12.7625" width="52.287498" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,12.7625)"> <g transform="translate(72,-61.79)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2765059" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.477754" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="20.829998" y="0"> ∈</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.870388" y="0"> </t年代p一个n> </text> </g> </g> </svg>,要么<年代vg height="12.175" id="M68" style="vertical-align:-1.29163pt;width:34.700001px;" version="1.1" viewbox="0 0 34.700001 12.175" width="34.700001" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,12.175)"> <g transform="translate(72,-62.26)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.7398367" y="0"> ≥</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.780226" y="0"> </t年代p一个n> </text> </g> </g> </svg>或<年代vg height="10.9375" id="M69" style="vertical-align:-0.30096pt;width:34.700001px;" version="1.1" viewbox="0 0 34.700001 10.9375" width="34.700001" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.9375)"> <g transform="translate(72,-63.25)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.7398367" y="0"> <</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.780226" y="0"> </t年代p一个n> </text> </g> </g> </svg>。晶格<年代vg height="16.2875" id="M70" style="vertical-align:-2.21957pt;width:75.5625px;" version="1.1" viewbox="0 0 75.5625 16.2875" width="75.5625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.2875)"> <g transform="translate(72,-58.97)"> <text transform="matrix(1,0,0,-1,-71.95,61.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="8.3269978" y="0"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="14.578498" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.779745" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="26.031246" y="0"> ]</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-41.75,66.24)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-33.01,61.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="17.241636" y="0"> )</t年代p一个n> </text> </g> </g> </svg>下不平等关系不是一个完全有序的晶格。</pgydF4y2Ba> <p>一个模糊的晶格是一对<年代vg height="13.55" id="M71" style="vertical-align:-2.29482pt;width:37.625px;" version="1.1" viewbox="0 0 37.625 13.55" width="37.625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.55)"> <g transform="translate(72,-61.16)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="13.015623" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="18.216871" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="25.831198" y="0"> )</t年代p一个n> </text> </g> </g> </svg>在哪里<年代vg height="13.45" id="M72" style="vertical-align:-2.21957pt;width:43.162498px;" version="1.1" viewbox="0 0 43.162498 13.45" width="43.162498" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="13.015623" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="18.216871" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="30.257259" y="0"> )</t年代p一个n> </text> </g> </g> </svg>是脆晶格和<年代vg height="13.55" id="M73" style="vertical-align:-2.29482pt;width:65.637497px;" version="1.1" viewbox="0 0 65.637497 13.55" width="65.637497" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.55)"> <g transform="translate(72,-61.16)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="15.791289" y="0"> ×</t年代p一个n> <tspan style="font-size: 12.50px; " x="26.568874" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="35.420998" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="40.63475" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="48.249077" y="0"> )</t年代p一个n> </text> </g> </g> </svg>是一个模糊集隶属函数<年代vg height="13.55" id="M74" style="vertical-align:-2.29482pt;width:126.3px;" version="1.1" viewbox="0 0 126.3 13.55" width="126.3" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.55)"> <g transform="translate(72,-61.16)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="11.077658" y="0"> ∶</t年代p一个n> <tspan style="font-size: 12.50px; " x="20.942526" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="32.570316" y="0"> ×</t年代p一个n> <tspan style="font-size: 12.50px; " x="43.3479" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="57.763859" y="0"> →</t年代p一个n> <tspan style="font-size: 12.50px; " x="74.892967" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="79.056473" y="0"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="85.307968" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="90.521721" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="96.773216" y="0"> ]</t年代p一个n> </text> </g> </g> </svg>这样<年代vg height="13.55" id="M75" style="vertical-align:-2.29482pt;width:126.6875px;" version="1.1" viewbox="0 0 126.6875 13.55" width="126.6875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.55)"> <g transform="translate(72,-61.16)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="7.6018238" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.765323" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="18.041828" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="23.255581" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="29.13199" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.771324" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="48.81171" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="58.526543" y="0"> ⇔</t年代p一个n> <tspan style="font-size: 12.50px; " x="73.580154" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="83.332497" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="95.372887" y="0"> </t年代p一个n> </text> </g> </g> </svg>。注意,给定一个格子<年代vg height="10.325" id="M76" style="vertical-align:-0.0pt;width:11.1875px;" version="1.1" viewbox="0 0 11.1875 10.325" width="11.1875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>,一个积极的评价函数<年代vg height="10.5375" id="M77" style="vertical-align:-0.16302pt;width:75.699997px;" version="1.1" viewbox="0 0 75.699997 10.5375" width="75.699997" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.5375)"> <g transform="translate(72,-63.57)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.7898493" y="0"> ∶</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.654716" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="34.05817" y="0"> →</t年代p一个n> <tspan style="font-size: 12.50px; " x="51.199783" y="0"> </t年代p一个n> </text> </g> </g> </svg>可以被定义<年代vg height="13.45" id="M78" style="vertical-align:-2.21957pt;width:57.087502px;" version="1.1" viewbox="0 0 57.087502 13.45" width="57.087502" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.3265181" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="10.490017" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="19.642214" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="27.269043" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="39.309433" y="0"> 0</t年代p一个n> </text> </g> </g> </svg>,那么两个<年代vg height="13.45" id="M79" style="vertical-align:-2.21957pt;width:36.587502px;" version="1.1" viewbox="0 0 36.587502 13.45" width="36.587502" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="13.015623" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="18.216871" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="24.993498" y="0"> )</t年代p一个n> </text> </g> </g> </svg>和<年代vg height="13.45" id="M80" style="vertical-align:-2.21957pt;width:34.987499px;" version="1.1" viewbox="0 0 34.987499 13.45" width="34.987499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="13.015623" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="18.216871" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="23.718191" y="0"> )</t年代p一个n> </text> </g> </g> </svg>模糊格(<一个href="#B2">2</一个>]。</pgydF4y2Ba> <p>考虑集<年代vg height="10.325" id="M81" style="vertical-align:-0.0pt;width:11.6875px;" version="1.1" viewbox="0 0 11.6875 10.325" width="11.6875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>真正的数字。事实证明,<年代vg height="22.875" id="M82" style="vertical-align:-2.26974pt;width:158.77499px;" version="1.1" viewbox="0 0 158.77499 22.875" width="158.77499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,22.875)"> <g transform="translate(72,-53.7)"> <text transform="matrix(1,0,0,-1,-71.95,56.01)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-66.16,66.97)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-67.79,55.06)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.2600002" y="-0.94999999"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.287886" y="-0.94999999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="33.315773" y="-0.94999999"> ∪</t年代p一个n> <tspan style="font-size: 12.50px; " x="43.8433" y="-0.94999999"> {</t年代p一个n> <tspan style="font-size: 12.50px; " x="49.844738" y="-0.94999999"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="58.409294" y="-0.94999999"> ∞</t年代p一个n> <tspan style="font-size: 12.50px; " x="69.987068" y="-0.94999999"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="75.200821" y="-0.94999999"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="83.765373" y="-0.94999999"> ∞</t年代p一个n> <tspan style="font-size: 12.50px; " x="95.343155" y="-0.94999999"> }</t年代p一个n> <tspan style="font-size: 12.50px; " x="101.3446" y="-0.94999999"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="106.55835" y="-0.94999999"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="118.58624" y="-0.94999999"> )</t年代p一个n> </text> </g> </g> </svg>下的不平等关系<年代vg height="11.25" id="M83" style="vertical-align:-1.29163pt;width:15.175px;" version="1.1" viewbox="0 0 15.175 11.25" width="15.175" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.25)"> <g transform="translate(72,-63)"> <text transform="matrix(1,0,0,-1,-71.95,64.34)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ≤</t年代p一个n> </text> </g> </g> </svg>之间的<年代vg height="12.7625" id="M84" style="vertical-align:-1.76814pt;width:52.787498px;" version="1.1" viewbox="0 0 52.787498 12.7625" width="52.787498" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,12.7625)"> <g transform="translate(72,-61.79)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2765059" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.477754" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="20.829998" y="0"> ∈</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.870388" y="0"> </t年代p一个n> </text> </g> </g> </svg>是一个完整的点阵最少的元素−∞和最大的元素+∞<一个href="#B25">25</一个>]。</pgydF4y2Ba> <p>对晶格<年代vg height="13.45" id="M85" style="vertical-align:-2.21957pt;width:43.162498px;" version="1.1" viewbox="0 0 43.162498 13.45" width="43.162498" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="13.015623" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="18.216871" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="30.257259" y="0"> )</t年代p一个n> </text> </g> </g> </svg>,我们定义的集合(关闭)的时间间隔<年代vg height="13.8625" id="M86" style="vertical-align:-2.37006pt;width:228.675px;" version="1.1" viewbox="0 0 228.675 13.8625" width="228.675" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.8625)"> <g transform="translate(72,-60.91)"> <text transform="matrix(1,0,0,-1,-71.95,63.32)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.3890328" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="10.552532" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="19.404655" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="27.043989" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="39.084377" y="0"> {</t年代p一个n> <tspan style="font-size: 12.50px; " x="45.085819" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="49.249317" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="55.525822" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="60.739574" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="66.615982" y="0"> ]</t年代p一个n> <tspan style="font-size: 12.50px; " x="74.242813" y="0"> ∣</t年代p一个n> <tspan style="font-size: 12.50px; " x="81.044449" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="87.320953" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="92.534706" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="101.88695" y="0"> ∈</t年代p一个n> <tspan style="font-size: 12.50px; " x="113.91483" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="126.94296" y="0"> 一个</t年代p一个n> <tspan style="font-size: 12.50px; " x="132.49429" y="0"> n</t年代p一个n> <tspan style="font-size: 12.50px; " x="138.74579" y="0"> d</t年代p一个n> <tspan style="font-size: 12.50px; " x="149.1608" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="158.91313" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="170.95352" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="176.82993" y="0"> }</t年代p一个n> </text> </g> </g> </svg>。我们的话,<年代vg height="13.45" id="M87" style="vertical-align:-2.21957pt;width:61.5625px;" version="1.1" viewbox="0 0 61.5625 13.45" width="61.5625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="10.552532" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="14.716031" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="23.568155" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="27.731653" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.945404" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="44.985794" y="0"> )</t年代p一个n> </text> </g> </g> </svg>是晶格订购关系,晶格加入和满足定义如下<一个href="#B25">25</一个>]:<年代p一个nclass="equation" id="EEq7"> <svg height="66.9375" id="M88" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 66.9375" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,66.9375)"> <g transform="translate(72,-18.45)"> <text transform="matrix(1,0,0,-1,130.3,63.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.530001" y="0"> ]</t年代p一个n> <tspan style="font-size: 12.50px; " x="29.16" y="-0.039999999"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="43.279999" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="65.25" y="0"> ]</t年代p一个n> <tspan style="font-size: 12.50px; " x="2.7" y="20.469999"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.23" y="20.469999"> ]</t年代p一个n> <tspan style="font-size: 12.50px; " x="31.17" y="20.440001"> ∨</t年代p一个n> <tspan style="font-size: 12.50px; " x="43.790001" y="20.469999"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="65.75" y="20.469999"> ]</t年代p一个n> <tspan style="font-size: 12.50px; " x="73.389999" y="20.440001"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="85.419998" y="20.469999"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="146.16" y="20.469999"> ]</t年代p一个n> <tspan style="font-size: 12.50px; " x="152.41" y="20.440001"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="2.7" y="40.950001"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.23" y="40.950001"> ]</t年代p一个n> <tspan style="font-size: 12.50px; " x="31.17" y="40.91"> ∧</t年代p一个n> <tspan style="font-size: 12.50px; " x="43.790001" y="40.950001"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="65.75" y="40.950001"> ]</t年代p一个n> <tspan style="font-size: 12.50px; " x="73.389999" y="40.91"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="85.419998" y="40.950001"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="146.16" y="40.950001"> ]</t年代p一个n> <tspan style="font-size: 12.50px; " x="152.41" y="40.91"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1599998" y="-0.039999999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="10.436506" y="-0.039999999"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.637754" y="-0.039999999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="47.450001" y="-0.039999999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="52.638744" y="-0.039999999"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="57.839993" y="-0.039999999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="72.879997" y="-0.039999999"> ≡</t年代p一个n> <tspan style="font-size: 12.50px; " x="84.920387" y="-0.039999999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="93.572464" y="-0.039999999"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="105.61285" y="-0.039999999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="111.88936" y="-0.039999999"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="127.068" y="-0.039999999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="136.40775" y="-0.039999999"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="148.44814" y="-0.039999999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="155.09973" y="-0.039999999"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.8699999" y="20.440001"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="13.146506" y="20.440001"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="18.347754" y="20.440001"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="47.950001" y="20.440001"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="53.138744" y="20.440001"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="58.339993" y="20.440001"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="89.589996" y="20.440001"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="98.642174" y="20.440001"> ∧</t年代p一个n> <tspan style="font-size: 12.50px; " x="109.1697" y="20.440001"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="114.35844" y="20.440001"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="119.55969" y="20.440001"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="128.22427" y="20.440001"> ∨</t年代p一个n> <tspan style="font-size: 12.50px; " x="138.7518" y="20.440001"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.8699999" y="40.91"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="13.146506" y="40.91"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="18.347754" y="40.91"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="47.950001" y="40.91"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="53.138744" y="40.91"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="58.339993" y="40.91"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="89.589996" y="40.91"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="98.642174" y="40.91"> ∨</t年代p一个n> <tspan style="font-size: 12.50px; " x="109.1697" y="40.91"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="114.35844" y="40.91"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="119.55969" y="40.91"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="128.22427" y="40.91"> ∧</t年代p一个n> <tspan style="font-size: 12.50px; " x="138.7518" y="40.91"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="343.82001" y="21.059999"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="347.98349" y="21.059999"> 6</t年代p一个n> <tspan style="font-size: 12.50px; " x="354.23499" y="21.059999"> )</t年代p一个n> </text> </g> </g> </svg></span></p> <p>包括至少(空的)间隔,用<年代vg height="13.0125" id="M89" style="vertical-align:-1.95624pt;width:35.987499px;" version="1.1" viewbox="0 0 35.987499 13.0125" width="35.987499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.0125)"> <g transform="translate(72,-61.59)"> <text transform="matrix(1,0,0,-1,-71.95,63.59)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="10.164939" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.366187" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="24.518383" y="0"> ]</t年代p一个n> </text> </g> </g> </svg>,<年代vg height="13.45" id="M90" style="vertical-align:-2.21957pt;width:61.5625px;" version="1.1" viewbox="0 0 61.5625 13.45" width="61.5625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="10.552532" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="14.716031" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="23.568155" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="27.731653" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.945404" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="44.985794" y="0"> )</t年代p一个n> </text> </g> </g> </svg>导致一个完整的点阵<年代vg height="14.775" id="M91" style="vertical-align:-3.2316pt;width:217.66251px;" version="1.1" viewbox="0 0 217.66251 14.775" width="217.66251" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.775)"> <g transform="translate(72,-60.18)"> <text transform="matrix(1,0,0,-1,-71.95,63.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-62.26,60.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-55.18,63.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="13.015623" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="17.179123" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="22.380369" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="34.420757" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="42.060093" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="54.087978" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="58.251476" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="64.653015" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="68.816513" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="77.668633" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="84.6203" y="0"> ∪</t年代p一个n> <tspan style="font-size: 12.50px; " x="95.147827" y="0"> {</t年代p一个n> <tspan style="font-size: 12.50px; " x="101.14927" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="105.31277" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="111.31421" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="116.52796" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="125.68015" y="0"> ]</t年代p一个n> <tspan style="font-size: 12.50px; " x="129.84366" y="0"> }</t年代p一个n> <tspan style="font-size: 12.50px; " x="135.84509" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="141.04634" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="153.08673" y="0"> )</t年代p一个n> </text> </g> </g> </svg>。注意的<年代vg height="21.237499" id="M92" style="vertical-align:-0.95927pt;width:37.799999px;" version="1.1" viewbox="0 0 37.799999 21.237499" width="37.799999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,21.2375)"> <g transform="translate(72,-55.01)"> <text transform="matrix(1,0,0,-1,-71.95,56.01)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="12.315455" y="0"> =</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-49.43,66.97)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-51.06,55.06)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>,格<年代vg height="14.7125" id="M93" style="vertical-align:-3.2316pt;width:69.324997px;" version="1.1" viewbox="0 0 69.324997 14.7125" width="69.324997" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.7125)"> <g transform="translate(72,-60.23)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-62.26,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-55.18,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="13.015623" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="17.179123" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="22.380369" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="34.420757" y="0"> )</t年代p一个n> </text> </g> </g> </svg>等于常规间隔(套)<年代vg height="21.237499" id="M94" style="vertical-align:-0.95927pt;width:11.6875px;" version="1.1" viewbox="0 0 11.6875 21.237499" width="11.6875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,21.2375)"> <g transform="translate(72,-55.01)"> <text transform="matrix(1,0,0,-1,-70.32,66.97)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-71.95,55.06)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>。我们特别感兴趣的是完整的点阵<年代vg height="14.7125" id="M95" style="vertical-align:-3.2316pt;width:90.8125px;" version="1.1" viewbox="0 0 90.8125 14.7125" width="90.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.7125)"> <g transform="translate(72,-60.23)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-62.26,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-55.18,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="8.3269978" y="0"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="14.578498" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.779745" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="26.031246" y="0"> ]</t年代p一个n> <tspan style="font-size: 12.50px; " x="30.194744" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="34.358246" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="39.571995" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="51.612385" y="0"> )</t年代p一个n> </text> </g> </g> </svg>与最大的元素<年代vg height="13.125" id="M96" style="vertical-align:-1.95624pt;width:32.674999px;" version="1.1" viewbox="0 0 32.674999 13.125" width="32.674999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.125)"> <g transform="translate(72,-61.5)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.616247" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.867746" y="0"> ]</t年代p一个n> </text> </g> </g> </svg>和最小元素<年代vg height="13.125" id="M97" style="vertical-align:-1.95624pt;width:32.674999px;" version="1.1" viewbox="0 0 32.674999 13.125" width="32.674999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.125)"> <g transform="translate(72,-61.5)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.616247" y="0"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.867746" y="0"> ]</t年代p一个n> </text> </g> </g> </svg>。</pgydF4y2Ba> <p>一个同构函数<年代vg height="9.875" id="M98" style="vertical-align:-2.29482pt;width:10.5375px;" version="1.1" viewbox="0 0 10.5375 9.875" width="10.5375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,9.875)"> <g transform="translate(72,-64.1)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>从偏序集<年代vg height="10.325" id="M99" style="vertical-align:-0.0pt;width:11.75px;" version="1.1" viewbox="0 0 11.75 10.325" width="11.75" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>在偏序集<年代vg height="12.925" id="M100" style="vertical-align:-1.90608pt;width:12.325px;" version="1.1" viewbox="0 0 12.325 12.925" width="12.325" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,12.925)"> <g transform="translate(72,-61.66)"> <text transform="matrix(1,0,0,-1,-71.95,63.61)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>如果两个地图”<年代vg height="13.55" id="M101" style="vertical-align:-2.29482pt;width:193.55px;" version="1.1" viewbox="0 0 193.55 13.55" width="193.55" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.55)"> <g transform="translate(72,-61.16)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="10.339981" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="22.380369" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="30.669859" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="34.558292" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="42.847782" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="53.750397" y="0"> ⇔</t年代p一个n> <tspan style="font-size: 12.50px; " x="68.804008" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="77.131004" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="81.294502" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="88.171158" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="95.810486" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="107.83837" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="116.16537" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="120.32887" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="126.53036" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="132.78186" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="136.67029" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="144.97229" y="0"> </t年代p一个n> </text> </g> </g> </svg>”<我>和</我>”<年代vg height="9.875" id="M102" style="vertical-align:-2.29482pt;width:10.5375px;" version="1.1" viewbox="0 0 10.5375 9.875" width="10.5375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,9.875)"> <g transform="translate(72,-64.1)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg><i>是在问。</我>“基于积极的估值函数<年代vg height="7.4250002" id="M103" style="vertical-align:-0.11285pt;width:8.0375004px;" version="1.1" viewbox="0 0 8.0375004 7.4250002" width="8.0375004" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.425)"> <g transform="translate(72,-66.06)"> <text transform="matrix(1,0,0,-1,-71.95,66.22)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>的晶格<年代vg height="13.45" id="M104" style="vertical-align:-2.21957pt;width:43.162498px;" version="1.1" viewbox="0 0 43.162498 13.45" width="43.162498" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="13.015623" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="18.216871" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="30.257259" y="0"> )</t年代p一个n> </text> </g> </g> </svg>和一个同构函数<年代vg height="16.450001" id="M105" style="vertical-align:-2.21957pt;width:145.625px;" version="1.1" viewbox="0 0 145.625 16.450001" width="145.625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.45)"> <g transform="translate(72,-58.84)"> <text transform="matrix(1,0,0,-1,-71.95,61.1)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="10.014903" y="0"> ∶</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.87977" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.043268" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="32.895393" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="38.109142" y="0"> ≤</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-21.8,66.1)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-16.83,61.1)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="9.7148314" y="0"> →</t年代p一个n> <tspan style="font-size: 12.50px; " x="26.843941" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="31.007441" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="39.859566" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="45.073315" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="57.113705" y="0"> )</t年代p一个n> </text> </g> </g> </svg>,一个估值函数<年代vg height="14.0125" id="M106" style="vertical-align:-5.39853pt;width:19.987499px;" version="1.1" viewbox="0 0 19.987499 14.0125" width="19.987499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.0125)"> <g transform="translate(72,-60.79)"> <text transform="matrix(1,0,0,-1,-71.95,66.22)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-65.62,63.1)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-61.76,60.91)"> <tspan style="font-size: 6.25px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>在<年代vg height="24.075001" id="M107" style="vertical-align:-3.2316pt;width:69.824997px;" version="1.1" viewbox="0 0 69.824997 24.075001" width="69.824997" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,24.075)"> <g transform="translate(72,-52.74)"> <text transform="matrix(1,0,0,-1,-71.95,56.01)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-62.26,52.89)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-55.18,56.01)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-49.39,66.97)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-51.02,55.06)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.2600002" y="-0.94999999"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="13.423499" y="-0.94999999"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="18.624746" y="-0.94999999"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="30.665136" y="-0.94999999"> )</t年代p一个n> </text> </g> </g> </svg>被定义为<年代p一个nclass="equation" id="EEq10"> <svg height="17.7875" id="M108" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 17.7875" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,17.7875)"> <g transform="translate(72,-57.77)"> <text transform="matrix(1,0,0,-1,134.7,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,141.03,60.07)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,144.9,57.88)"> <tspan style="font-size: 6.25px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,152.68,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1599998" y="0.039999999"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="25.690001" y="0.039999999"> ]</t年代p一个n> <tspan style="font-size: 12.50px; " x="8.3299999" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="14.606506" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.807755" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="29.85" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="37.489334" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="49.51722" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="57.93174" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="62.095238" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="70.73481" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="74.898308" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="81.174812" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="85.33831" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="92.277481" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="103.6177" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="112.03222" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="116.19572" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="122.07213" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="128.32362" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="321.44" y="1.4400001"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="325.60349" y="1.4400001"> 7</t年代p一个n> <tspan style="font-size: 12.50px; " x="331.85501" y="1.4400001"> )</t年代p一个n> </text> </g> </g> </svg></span></p> <p>因此,包含一个区间的程度在晶格的另一个<年代vg height="14.7125" id="M109" style="vertical-align:-3.2316pt;width:69.324997px;" version="1.1" viewbox="0 0 69.324997 14.7125" width="69.324997" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.7125)"> <g transform="translate(72,-60.23)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-62.26,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-55.18,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="13.015623" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="17.179123" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="22.380369" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="34.420757" y="0"> )</t年代p一个n> </text> </g> </g> </svg>计算如下(<一个href="#B25">25</一个>]:<年代p一个nclass="equation" id="EEq11"> <svg height="96.3125" id="M110" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 96.3125" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,96.3125)"> <g transform="translate(72,5.05)"> <text transform="matrix(1,0,0,-1,107.13,52.1)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,113.91,48.97)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,117.78,46.78)"> <tspan style="font-size: 6.25px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,125.56,52.1)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1599998" y="0.039999999"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="25.690001" y="0.039999999"> ]</t年代p一个n> <tspan style="font-size: 12.50px; " x="31.93" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="37.139999" y="0.039999999"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="59.110001" y="0.039999999"> ]</t年代p一个n> <tspan style="font-size: 12.50px; " x="106.77" y="-11.39"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.3199997" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="14.596506" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.810257" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="41.310001" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="46.498745" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="51.699993" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="63.27" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="70.896828" y="0"> =</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,238.65,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,242.52,58.18)"> <tspan style="font-size: 6.25px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,250.3,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1700001" y="0.050000001"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="26.129999" y="0.050000001"> ]</t年代p一个n> <tspan style="font-size: 12.50px; " x="30.290001" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="8.3299999" y="0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="13.518745" y="0.0099999998"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="18.719994" y="0.0099999998"> </t年代p一个n> </text> <g> <path d="m 209.7,55.22 97.68,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,209.7,43.34)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,216.03,40.22)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,219.9,38.03)"> <tspan style="font-size: 6.25px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,227.68,43.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1599998" y="0.039999999"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="25.690001" y="0.039999999"> ]</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.630001" y="0.0099999998"> ∨</t年代p一个n> <tspan style="font-size: 12.50px; " x="49.41" y="0.039999999"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="71.379997" y="0.039999999"> ]</t年代p一个n> <tspan style="font-size: 12.50px; " x="75.540001" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="80.900002" y="-8.75"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="-117.83" y="34.209999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.3299999" y="0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="14.606506" y="0.0099999998"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.807755" y="0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="53.580002" y="0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="58.768745" y="0.0099999998"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="63.969994" y="0.0099999998"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,115.35,6.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,119.22,3.82)"> <tspan style="font-size: 6.25px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,127,9.15)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1700001" y="0.050000001"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="25.690001" y="0.050000001"> ]</t年代p一个n> <tspan style="font-size: 12.50px; " x="31.940001" y="0.0099999998"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="37.150002" y="0.050000001"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="59.110001" y="0.050000001"> ]</t年代p一个n> <tspan style="font-size: 12.50px; " x="84.150002" y="-11.39"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.3299999" y="0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="14.606506" y="0.0099999998"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.807755" y="0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="41.310001" y="0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="46.498745" y="0.0099999998"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="51.712498" y="0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="63.279999" y="0.0099999998"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="70.90683" y="0.0099999998"> =</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,217.47,17.41)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,221.34,15.22)"> <tspan style="font-size: 6.25px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,229.12,20.54)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1700001" y="0.039999999"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="25.690001" y="0.039999999"> ]</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.639999" y="0"> ∧</t年代p一个n> <tspan style="font-size: 12.50px; " x="45.25" y="0.039999999"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="67.209999" y="0.039999999"> ]</t年代p一个n> <tspan style="font-size: 12.50px; " x="71.379997" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="8.3299999" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="14.606506" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.807755" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="49.41" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="54.598743" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="59.799992" y="0"> </t年代p一个n> </text> <g> <path d="m 211.15,12.26 93.51,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,231.91,0.39)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,238.23,-2.74)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,242.1,-4.93)"> <tspan style="font-size: 6.25px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,249.88,0.39)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1700001" y="0.039999999"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="25.690001" y="0.039999999"> ]</t年代p一个n> <tspan style="font-size: 12.50px; " x="29.860001" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="55.98" y="-8.75"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="8.3299999" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="14.606506" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.807755" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="224.24001" y="-29.959999"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="228.4035" y="-29.959999"> 8</t年代p一个n> <tspan style="font-size: 12.50px; " x="234.655" y="-29.959999"> )</t年代p一个n> </text> </g> </g> </svg></span></p> <p>有两个<年代vg height="10.325" id="M111" style="vertical-align:-0.0pt;width:14.8375px;" version="1.1" viewbox="0 0 14.8375 10.325" width="14.8375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>维超立方体<年代vg height="14.475" id="M112" style="vertical-align:-3.13504pt;width:182.53751px;" version="1.1" viewbox="0 0 182.53751 14.475" width="182.53751" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.475)"> <g transform="translate(72,-60.42)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="12.427982" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.46837" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="28.63187" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-37.03,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-32.16,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-21.07,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-16.2,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ]</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.9391651" y="0"> ×</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.804752" y="0"> ⋯</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.233692" y="0"> ×</t年代p一个n> <tspan style="font-size: 12.50px; " x="47.023785" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="51.187283" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,41.27,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,50,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,61.09,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,69.82,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ]</t年代p一个n> </text> </g> </g> </svg>和<年代vg height="14.475" id="M113" style="vertical-align:-3.13504pt;width:181.4375px;" version="1.1" viewbox="0 0 181.4375 14.475" width="181.4375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.475)"> <g transform="translate(72,-60.42)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="12.165419" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.205809" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="28.369307" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-38.38,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-33.51,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-21.65,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-16.78,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ]</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.9391651" y="0"> ×</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.804752" y="0"> ⋯</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.246197" y="0"> ×</t年代p一个n> <tspan style="font-size: 12.50px; " x="47.023785" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="51.187283" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,39.6,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,48.34,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,60.2,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,68.93,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ]</t年代p一个n> </text> </g> </g> </svg>以下包含测量两个间隔<年代vg height="10.55" id="M114" style="vertical-align:-0.0pt;width:11.325px;" version="1.1" viewbox="0 0 11.325 10.55" width="11.325" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.55)"> <g transform="translate(72,-63.56)"> <text transform="matrix(1,0,0,-1,-71.95,63.61)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>和<年代vg height="10.325" id="M115" style="vertical-align:-0.0pt;width:11.625px;" version="1.1" viewbox="0 0 11.625 10.325" width="11.625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>定义:<年代p一个nclass="equation" id="EEq13"> <svg height="102.325" id="M116" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 102.325" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,102.325)"> <g transform="translate(72,9.86)"> <text transform="matrix(1,0,0,-1,92.26,52.1)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,99.04,48.97)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,102.91,46.78)"> <tspan style="font-size: 6.25px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,110.69,52.1)"> <tspan style="font-size: 12.50px; " x="59.540001" y="-11.39"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="13.12815" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="18.329397" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="27.531607" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="35.17094" y="0"> =</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,176.56,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,180.43,58.18)"> <tspan style="font-size: 6.25px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,188.21,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="13.365707" y="0"> )</t年代p一个n> </text> <g> <path d="m 159.1,55.22 57.78,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,159.1,43.34)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,165.42,40.22)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,169.29,38.03)"> <tspan style="font-size: 6.25px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,177.07,43.35)"> <tspan style="font-size: 12.50px; " x="-31.209999" y="36.880001"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.6300001" y="26.33"> ∑</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="15.903816" y="0"> ∨</t年代p一个n> <tspan style="font-size: 12.50px; " x="26.431341" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="35.633549" y="0"> )</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,193.13,23.28)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="0" y="9.9399996"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="2.7218721" y="9.9399996"> =</t年代p一个n> <tspan style="font-size: 8.75px; " x="8.7169924" y="9.9399996"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,208.81,14.53)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="19.75" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="25.6" y="-2.52"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="4.7800002" y="-2.52"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="11.106518" y="-2.52"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,239.6,13.92)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,242.82,14.53)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="28.379999" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="34.23" y="-2.52"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.6300001" y="-2.52"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.957718" y="-2.52"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,283.7,13.92)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,286.92,14.53)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="5.8514042" y="0"> </t年代p一个n> </text> <g> <path d="m 159.1,9.59 161.07,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,159.1,-5.27)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ∑</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,170.53,0.99)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="0" y="9.9300003"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="2.7218721" y="9.9300003"> =</t年代p一个n> <tspan style="font-size: 8.75px; " x="8.7169924" y="9.9300003"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,186.2,-7.76)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="19.75" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="25.6" y="-2.52"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="4.79" y="-2.52"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="11.116518" y="-2.52"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,218.08,-8.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,224.08,-5.24)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ∧</t年代p一个n> <tspan style="font-size: 12.50px; " x="10.527526" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,239.8,-8.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,243.02,-7.76)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="28.379999" y="-8.8817842e-016"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="34.23" y="-2.52"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.6300001" y="-2.52"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.957718" y="-2.52"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,283.13,-8.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,289.13,-5.24)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ∨</t年代p一个n> <tspan style="font-size: 12.50px; " x="10.515023" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,306.31,-8.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,309.53,-7.76)"> <tspan style="font-size: 12.50px; " x="11.83" y="-14.23"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="5.8514042" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="164.59" y="-35.709999"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="168.75349" y="-35.709999"> 9</t年代p一个n> <tspan style="font-size: 12.50px; " x="175.005" y="-35.709999"> )</t年代p一个n> </text> </g> </g> </svg></span></p> <h4 id="flr-model">3所示。FLR模型</gydF4y2Bah4> <p>本节提出了一种分类器从输入数据中提取规则的基于模糊格。FLR重要属性之一的能力处理不同类型的数据,包括真正的向量,模糊集、符号、图形、图像、波,甚至任何上述数据的组合,这表明FLR结合不同类型的数据的能力。此外,FLR可以处理完成和noncomplete晶格,可以应对这两点和间隔。此外,稳定的学习进行增量和快速的在一个通过训练数据。在某些应用程序中,我们可能会面对“失踪”或“不在乎”数据。在这种情况下,FLR可以管理“失踪”和“不在乎”数据,取而代之的是最小元素<年代vg height="10.75" id="M117" style="vertical-align:-0.13794pt;width:11.875px;" version="1.1" viewbox="0 0 11.875 10.75" width="11.875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.75)"> <g transform="translate(72,-63.4)"> <text transform="matrix(1,0,0,-1,-71.95,63.59)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>和伟大的元素<年代vg height="10.325" id="M118" style="vertical-align:-0.0pt;width:9.0375004px;" version="1.1" viewbox="0 0 9.0375004 10.325" width="9.0375004" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>,分别。例如,如果组成晶格<年代vg height="13.45" id="M119" style="vertical-align:-2.21957pt;width:64.637497px;" version="1.1" viewbox="0 0 64.637497 13.45" width="64.637497" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="8.3269978" y="0"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="14.578498" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.779745" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="26.031246" y="0"> ]</t年代p一个n> <tspan style="font-size: 12.50px; " x="30.194744" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="35.408497" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="47.448887" y="0"> )</t年代p一个n> </text> </g> </g> </svg>,然后我们可以取代“失踪”和“不在乎”数据的时间间隔<年代vg height="13.125" id="M120" style="vertical-align:-1.95624pt;width:63.5px;" version="1.1" viewbox="0 0 63.5 13.125" width="63.5" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.125)"> <g transform="translate(72,-61.5)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="12.615527" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.655916" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="28.819414" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="35.070915" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="40.284664" y="0"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="46.536167" y="0"> ]</t年代p一个n> </text> </g> </g> </svg>和<年代vg height="13.125" id="M121" style="vertical-align:-1.95624pt;width:56.962502px;" version="1.1" viewbox="0 0 56.962502 13.125" width="56.962502" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.125)"> <g transform="translate(72,-61.5)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.4647713" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.505159" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="25.668659" y="0"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="31.920158" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="35.04591" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="41.297409" y="0"> ]</t年代p一个n> </text> </g> </g> </svg>分别为(<一个href="#B13">13</一个>,<一个href="#B14">14</一个>,<一个href="#B22">22</一个>]。</pgydF4y2Ba> <p>应该提到FLR分类器的输入数据(模型)表示<年代vg height="14.7125" id="M122" style="vertical-align:-3.2316pt;width:49.237499px;" version="1.1" viewbox="0 0 49.237499 14.7125" width="49.237499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.7125)"> <g transform="translate(72,-60.23)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-61.51,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-58.29,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-44.69,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-36.82,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代p一个n> </text> </g> </g> </svg>在哪里<年代vg height="14.3375" id="M123" style="vertical-align:-3.13504pt;width:20.450001px;" version="1.1" viewbox="0 0 20.450001 14.3375" width="20.450001" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.3375)"> <g transform="translate(72,-60.53)"> <text transform="matrix(1,0,0,-1,-71.95,63.71)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-63.56,60.58)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>的类标签数据吗<年代vg height="11.05" id="M124" style="vertical-align:-3.2316pt;width:12px;" version="1.1" viewbox="0 0 12 11.05" width="12" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.05)"> <g transform="translate(72,-63.16)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-65.67,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>,它可以被视为一种规则”<我>如果</我> <svg height="11.05" id="M125" style="vertical-align:-3.2316pt;width:17.200001px;" version="1.1" viewbox="0 0 17.200001 11.05" width="17.200001" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.05)"> <g transform="translate(72,-63.16)"> <text transform="matrix(1,0,0,-1,-67.78,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-61.51,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg><i>然后</我> <svg height="14.45" id="M126" style="vertical-align:-3.2316pt;width:17.1625px;" version="1.1" viewbox="0 0 17.1625 14.45" width="17.1625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.45)"> <g transform="translate(72,-60.44)"> <text transform="matrix(1,0,0,-1,-71.95,63.71)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-63.56,60.58)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>“我们的话,一个实数<年代vg height="10.75" id="M127" style="vertical-align:-0.33858pt;width:38.924999px;" version="1.1" viewbox="0 0 38.924999 10.75" width="38.924999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.75)"> <g transform="translate(72,-63.4)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.7398367" y="0"> ∈</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.780226" y="0"> </t年代p一个n> </text> </g> </g> </svg>对应于琐碎的时间间隔<年代vg height="12.9125" id="M128" style="vertical-align:-1.95624pt;width:32.737499px;" version="1.1" viewbox="0 0 32.737499 12.9125" width="32.737499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,12.9125)"> <g transform="translate(72,-61.67)"> <text transform="matrix(1,0,0,-1,-71.95,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="10.440005" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.641253" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="21.917759" y="0"> ]</t年代p一个n> </text> </g> </g> </svg>。学习和泛化hyperboxes FLR基于计算的空间<年代vg height="13.525" id="M129" style="vertical-align:-0.0pt;width:22.612499px;" version="1.1" viewbox="0 0 22.612499 13.525" width="22.612499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.525)"> <g transform="translate(72,-61.18)"> <text transform="matrix(1,0,0,-1,-71.95,61.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-62.7,66.24)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>引起的,也就是说,一个规则FLR对应于一个<我>N</我>维超立方体。</pgydF4y2Ba> <p>假设一个知识库<年代vg height="14.775" id="M130" style="vertical-align:-3.2316pt;width:181.60001px;" version="1.1" viewbox="0 0 181.60001 14.775" width="181.60001" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.775)"> <g transform="translate(72,-60.18)"> <text transform="matrix(1,0,0,-1,-71.95,63.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> K</t年代p一个n> <tspan style="font-size: 12.50px; " x="9.0271664" y="0"> B</t年代p一个n> <tspan style="font-size: 12.50px; " x="20.829998" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.870388" y="0"> {</t年代p一个n> <tspan style="font-size: 12.50px; " x="38.871826" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="43.035324" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-22.63,60.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-17.76,63.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-4.16,60.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,0.72,63.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="9.364747" y="0"> …</t年代p一个n> <tspan style="font-size: 12.50px; " x="23.955748" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="29.156996" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="33.320496" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,40.33,60.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,44.89,63.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2137508" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,58.49,60.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,63.06,63.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> }</t年代p一个n> </text> </g> </g> </svg>是给定的。知识库可以是空的。FLR决策是基于一个夹杂物的措施。在学习阶段,当输入数据<年代vg height="14.75" id="M131" style="vertical-align:-3.25793pt;width:47.5625px;" version="1.1" viewbox="0 0 47.5625 14.75" width="47.5625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.75)"> <g transform="translate(72,-60.2)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-61.51,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-56.64,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-43.04,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-38.16,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代p一个n> </text> </g> </g> </svg>呈现给网络,输入之间的包容度,每个规则存储在知识库将计算<年代vg height="14.75" id="M132" style="vertical-align:-3.25793pt;width:137.53751px;" version="1.1" viewbox="0 0 137.53751 14.75" width="137.53751" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.75)"> <g transform="translate(72,-60.2)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.7766261" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="10.940125" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-54.73,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-49.86,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-38.37,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-33.5,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="9.364747" y="0"> …</t年代p一个n> <tspan style="font-size: 12.50px; " x="23.955748" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="29.169498" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="35.946125" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="40.109623" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,12.89,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,17.76,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,29.25,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,33.82,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代p一个n> </text> </g> </g> </svg>,分别。模糊格推理分类器将选择的规则<年代vg height="16.637501" id="M133" style="vertical-align:-4.72385pt;width:172.0625px;" version="1.1" viewbox="0 0 172.0625 16.637501" width="172.0625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.6375)"> <g transform="translate(72,-58.69)"> <text transform="matrix(1,0,0,-1,-71.95,63.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 一个</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.551332" y="0"> r</t年代p一个n> <tspan style="font-size: 12.50px; " x="9.7148314" y="0"> g</t年代p一个n> <tspan style="font-size: 12.50px; " x="18.041828" y="0"> 米</t年代p一个n> <tspan style="font-size: 12.50px; " x="27.769163" y="0"> 一个</t年代p一个n> <tspan style="font-size: 12.50px; " x="33.320496" y="0"> x</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-28.2,60.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="2.7218721" y="0"> ∈</t年代p一个n> <tspan style="font-size: 8.75px; " x="8.7169924" y="0"> {</t年代p一个n> <tspan style="font-size: 8.75px; " x="12.917952" y="0"> 1</t年代p一个n> <tspan style="font-size: 8.75px; " x="17.293953" y="0"> ,</t年代p一个n> <tspan style="font-size: 8.75px; " x="19.481953" y="0"> …</t年代p一个n> <tspan style="font-size: 8.75px; " x="28.233952" y="0"> ,</t年代p一个n> <tspan style="font-size: 8.75px; " x="30.421951" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="34.054031" y="0"> }</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,12.64,63.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> {</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.00144" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="12.778066" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="16.941565" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,35.85,60.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,40.73,63.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,52.21,60.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,55.43,63.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> }</t年代p一个n> </text> </g> </g> </svg>为获胜者。如果赢家规则<年代vg height="11.05" id="M134" style="vertical-align:-3.24037pt;width:15.8125px;" version="1.1" viewbox="0 0 15.8125 11.05" width="15.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.05)"> <g transform="translate(72,-63.16)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-65.67,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>和输入数据<年代vg height="11.075" id="M135" style="vertical-align:-3.25793pt;width:14.0625px;" version="1.1" viewbox="0 0 14.0625 11.075" width="14.0625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.075)"> <g transform="translate(72,-63.14)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-65.67,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> </g> </g> </svg>有相同的类标签的大小<年代vg height="14.75" id="M136" style="vertical-align:-3.25793pt;width:56.799999px;" version="1.1" viewbox="0 0 56.799999 14.75" width="56.799999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.75)"> <g transform="translate(72,-60.2)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-61.51,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-53.86,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ∨</t年代p一个n> <tspan style="font-size: 12.50px; " x="10.527526" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-37.05,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-30.78,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代p一个n> </text> </g> </g> </svg>,用<年代vg height="10.325" id="M137" style="vertical-align:-0.0pt;width:13.2875px;" version="1.1" viewbox="0 0 13.2875 10.325" width="13.2875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>,小于用户定义的阈值,然后获胜者规则将被更新。注意,一个区间的大小<年代vg height="13" id="M138" style="vertical-align:-1.95624pt;width:32.237499px;" version="1.1" viewbox="0 0 32.237499 13" width="32.237499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13)"> <g transform="translate(72,-61.6)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="10.440005" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.641253" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="21.517662" y="0"> ]</t年代p一个n> </text> </g> </g> </svg>是计算<年代vg height="13.45" id="M139" style="vertical-align:-2.21957pt;width:131.8625px;" version="1.1" viewbox="0 0 131.8625 13.45" width="131.8625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.6523161" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="13.815815" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="24.255819" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="30.132231" y="0"> ]</t年代p一个n> <tspan style="font-size: 12.50px; " x="37.771564" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="49.79945" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="56.125965" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="60.289467" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="66.165878" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="73.117546" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="84.457764" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="90.784286" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="94.947784" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="101.22429" y="0"> )</t年代p一个n> </text> </g> </g> </svg>。否则,这一过程重复;如果没有更多的规则,那么输入数据<年代vg height="14.75" id="M140" style="vertical-align:-3.25793pt;width:47.5625px;" version="1.1" viewbox="0 0 47.5625 14.75" width="47.5625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.75)"> <g transform="translate(72,-60.2)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-61.51,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-56.64,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-43.04,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-38.16,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代p一个n> </text> </g> </g> </svg>将是一个新成员的KB。训练算法中描述的算法<一个href="//www.newsama.com/journals/afs/2012/206121/alg1/" target="_blank">1</一个>。</pgydF4y2Ba> <p></p> <div class="floats-partial-section partial-other-wrapper" data-section="alg1"> <div class="floats-partial-content fig-content-alg1"> <table> <tbody> <tr> <td> <table class="algorithm" id="alg1"> <tbody> <tr> <td colspan="2"><b>S0。</gydF4y2Bab>第一个输入<年代vg height="14.75" id="M141" style="vertical-align:-3.25793pt" version="1.1" viewbox="0 0 50.162498 14.75" width="50.162498" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.75)"> <g transform="translate(72,-60.2)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-61.51,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-56.64,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="7.2892489" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-40.95,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-36.08,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代p一个n> </text> </g> </g> </svg>是记忆。<年代vg height="10.8125" id="M142" style="vertical-align:-0.12538pt" version="1.1" viewbox="0 0 20.762501 10.8125" width="20.762501" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.8125)"> <g transform="translate(72,-63.35)"> <text transform="matrix(1,0,0,-1,-67.78,63.52)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 一个</t年代p一个n> <tspan style="font-size: 12.50px; " x="8.8646269" y="0"> t</t年代p一个n> </text> </g> </g> </svg>一瞬间,有<年代vg height="7.1875" id="M143" style="vertical-align:-0.13794pt" version="1.1" viewbox="0 0 7.3874998 7.1875" width="7.3874998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1875)"> <g transform="translate(72,-66.25)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>已知的</tdgydF4y2Ba> </tr> <tr> <td colspan="2">类<年代vg height="14.45" id="M144" style="vertical-align:-3.2316pt" version="1.1" viewbox="0 0 64.162498 14.45" width="64.162498" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.45)"> <g transform="translate(72,-60.44)"> <text transform="matrix(1,0,0,-1,-71.95,63.71)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-63.56,60.58)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-58.69,63.71)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> …</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.79225" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="25.006001" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-25.29,60.58)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>最初,记忆的记忆<年代vg height="10.9125" id="M145" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 33.8125 10.9125" width="33.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.9125)"> <g transform="translate(72,-63.27)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.6520758" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="20.692465" y="0"> 0</t年代p一个n> </text> </g> </g> </svg>。</tdgydF4y2Ba> </tr> <tr> <td colspan="2"><b>S1。</gydF4y2Bab>现在下一个输入<年代vg height="14.7125" id="M146" style="vertical-align:-3.2316pt" version="1.1" viewbox="0 0 125.5875 14.7125" width="125.5875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.7125)"> <g transform="translate(72,-60.23)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-61.51,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-58.29,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-44.69,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-39.45,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="13.540749" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="20.892513" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.932903" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="39.184402" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="44.398151" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="47.523903" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="50.649654" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="53.775402" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="58.97665" y="0"> </t年代p一个n> </text> </g> </g> </svg>最初的“set”家庭的规则。</tdgydF4y2Ba> </tr> <tr> <td colspan="2"><b>S2。</gydF4y2Bab>如果没有规则是“套”</tdgydF4y2Ba> </tr> <tr> <td colspan="2">存储输入<年代vg height="14.7125" id="M147" style="vertical-align:-3.2316pt" version="1.1" viewbox="0 0 51.837502 14.7125" width="51.837502" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.7125)"> <g transform="translate(72,-60.23)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-61.51,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-58.29,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="7.2892489" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-42.61,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-34.74,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代p一个n> </text> </g> </g> </svg>,</tdgydF4y2Ba> </tr> <tr> <td colspan="2"> <svg height="11.325" id="M148" style="vertical-align:-0.51414pt" version="1.1" viewbox="0 0 57.950001 11.325" width="57.950001" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.325)"> <g transform="translate(72,-62.94)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.6520758" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="20.692465" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="28.656876" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="39.997097" y="0"> 1</t年代p一个n> </text> </g> </g> </svg>,</tdgydF4y2Ba> </tr> <tr> <td colspan="2"><i></i>去S1。</tdgydF4y2Ba> </tr> <tr> <td colspan="2">其他的</tdgydF4y2Ba> </tr> <tr> <td colspan="2">计算<年代vg height="14.75" id="M149" style="vertical-align:-3.25793pt" version="1.1" viewbox="0 0 133.6375 14.75" width="133.6375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.75)"> <g transform="translate(72,-60.2)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.7766261" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="10.940125" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-54.73,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-49.86,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-38.37,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-35.15,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="13.528246" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="20.892513" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.932903" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="39.184402" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="44.385651" y="0"> …</t年代p一个n> <tspan style="font-size: 12.50px; " x="58.97665" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="64.190399" y="0"> </t年代p一个n> </text> </g> </g> </svg>“设置”的规则。</tdgydF4y2Ba> </tr> <tr> <td colspan="2"><b>S3。</gydF4y2Bab>“套”之间的竞争规则:</tdgydF4y2Ba> </tr> <tr> <td colspan="2"><i></i>赢家是规则<年代vg height="14.725" id="M150" style="vertical-align:-3.24037pt" version="1.1" viewbox="0 0 51.0625 14.725" width="51.0625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.725)"> <g transform="translate(72,-60.22)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-61.51,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-55.24,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2137508" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-41.64,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-35.36,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代p一个n> </text> </g> </g> </svg>这样<年代vg height="14.8125" id="M151" style="vertical-align:-3.25793pt" version="1.1" viewbox="0 0 238.96249 14.8125" width="238.96249" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.8125)"> <g transform="translate(72,-60.15)"> <text transform="matrix(1,0,0,-1,-71.95,63.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="10.214951" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="22.255341" y="0"> 一个</t年代p一个n> <tspan style="font-size: 12.50px; " x="27.806671" y="0"> r</t年代p一个n> <tspan style="font-size: 12.50px; " x="31.970171" y="0"> g</t年代p一个n> <tspan style="font-size: 12.50px; " x="44.473171" y="0"> 米</t年代p一个n> <tspan style="font-size: 12.50px; " x="54.200504" y="0"> 一个</t年代p一个n> <tspan style="font-size: 12.50px; " x="59.751839" y="0"> x</t年代p一个n> <tspan style="font-size: 12.50px; " x="72.254837" y="0"> {</t年代p一个n> <tspan style="font-size: 12.50px; " x="78.256279" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="85.032906" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="89.196404" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,23.53,60.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,28.4,63.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2137508" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,39.89,60.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,43.11,63.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> }</t年代p一个n> <tspan style="font-size: 12.50px; " x="10.164939" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.542189" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="26.893953" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="38.934341" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="45.185841" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="50.399593" y="0"> …</t年代p一个n> <tspan style="font-size: 12.50px; " x="64.978088" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="70.191841" y="0"> </t年代p一个n> </text> </g> </g> </svg>。</tdgydF4y2Ba> </tr> <tr> <td colspan="2"><b>S4。</gydF4y2Bab>同化的条件:</tdgydF4y2Ba> </tr> <tr> <td colspan="2"><i></i>这两个<年代vg height="14.725" id="M152" style="vertical-align:-3.24037pt" version="1.1" viewbox="0 0 94.025002 14.725" width="94.025002" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.725)"> <g transform="translate(72,-60.22)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.6523161" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="13.815815" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-51.86,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-45.86,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ∨</t年代p一个n> <tspan style="font-size: 12.50px; " x="10.527526" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-29.05,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-22.78,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="7.6268301" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.667219" y="0"> </t年代p一个n> </text> </g> </g> </svg>和<年代vg height="14.4625" id="M153" style="vertical-align:-3.24037pt" version="1.1" viewbox="0 0 52.349998 14.4625" width="52.349998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.4625)"> <g transform="translate(72,-60.43)"> <text transform="matrix(1,0,0,-1,-71.95,63.71)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-63.56,60.58)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-56.87,63.71)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-36.44,60.58)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>。</tdgydF4y2Ba> </tr> <tr> <td colspan="2"><b>S5。</gydF4y2Bab>如果同化状况满意</tdgydF4y2Ba> </tr> <tr> <td colspan="2"><i></i>取代<年代vg height="11.05" id="M154" style="vertical-align:-3.24037pt" version="1.1" viewbox="0 0 15.8125 11.05" width="15.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.05)"> <g transform="translate(72,-63.16)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-65.67,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>通过<年代vg height="12.5625" id="M155" style="vertical-align:-3.25793pt" version="1.1" viewbox="0 0 46.387501 12.5625" width="46.387501" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,12.5625)"> <g transform="translate(72,-61.95)"> <text transform="matrix(1,0,0,-1,-71.95,65.25)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-65.67,62.12)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-58.02,65.25)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ∨</t年代p一个n> <tspan style="font-size: 12.50px; " x="10.527526" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-41.21,62.12)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>。</tdgydF4y2Ba> </tr> <tr> <td colspan="2">其他的</tdgydF4y2Ba> </tr> <tr> <td colspan="2"><i></i>“重置”赢家<年代vg height="14.725" id="M156" style="vertical-align:-3.24037pt" version="1.1" viewbox="0 0 51.0625 14.725" width="51.0625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.725)"> <g transform="translate(72,-60.22)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-61.51,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-55.24,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2137508" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-41.64,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-35.36,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代p一个n> </text> </g> </g> </svg>,去S2。</tdgydF4y2Ba> </tr> </tbody> </table></td> </tr> </tbody> </table> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">算法1</年代p一个n> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/afs/2012/206121/alg1/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> FLR训练算法。</d我v> </div> </div> <p></p> <p>请注意,<年代vg height="9.875" id="M157" style="vertical-align:-2.29482pt;width:7.9749999px;" version="1.1" viewbox="0 0 7.9749999 9.875" width="7.9749999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,9.875)"> <g transform="translate(72,-64.1)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>是用于指定的阈值大小的最大大小hyperbox才能学到。决定边界可以由FLR具有对数估值函数见下面的例子。</pgydF4y2Ba> <p><span class="statement" id="ex1"><span class="statement-title"><i class="statement-title">例3。</我></span>辛普森基准是一个二维的数据集组成的24分用于测试性能的聚类算法(<一个href="#B26">26</一个>]。这是一个在视觉感知分组问题,处理的检测图像的分割成子集(<一个href="#B27">27</一个>]。我们已经把数据分为三类。</年代p一个n></p> <p>图<一个href="//www.newsama.com/journals/afs/2012/206121/fig2/" target="_blank">2</一个>显示表面FLR赋予的决定提出了对数估值函数没有任何更进一步的数据。这里,由于缺乏空间,我们有机密数据位置参数(四倍<年代vg height="9.9375" id="M158" style="vertical-align:-2.34499pt;width:8.0625px;" version="1.1" viewbox="0 0 8.0625 9.9375" width="8.0625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,9.9375)"> <g transform="translate(72,-64.05)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>)=<年代vg height="13.6125" id="M159" style="vertical-align:-2.34499pt;width:35.262501px;" version="1.1" viewbox="0 0 35.262501 13.6125" width="35.262501" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6125)"> <g transform="translate(72,-61.11)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.8148546" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.855244" y="0"> 1</t年代p一个n> </text> </g> </g> </svg>和四个不同的警戒参数<年代vg height="9.875" id="M160" style="vertical-align:-2.29482pt;width:7.9749999px;" version="1.1" viewbox="0 0 7.9749999 9.875" width="7.9749999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,9.875)"> <g transform="translate(72,-64.1)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>值。注意,hyperbox的大小是由警戒参数调优<年代vg height="9.875" id="M161" style="vertical-align:-2.29482pt;width:7.9749999px;" version="1.1" viewbox="0 0 7.9749999 9.875" width="7.9749999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,9.875)"> <g transform="translate(72,-64.1)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>;更具体地说,更大的价值<年代vg height="9.875" id="M162" style="vertical-align:-2.29482pt;width:7.9749999px;" version="1.1" viewbox="0 0 7.9749999 9.875" width="7.9749999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,9.875)"> <g transform="translate(72,-64.1)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>导致更多hyperboxes。</pgydF4y2Ba> <div class="floats-partial-section partial-carousel-wrapper" data-section="fig2"> <div class="floats-partial-content fig-content-fig2"> <div class="partial-carousel--single-image"> <img alt="(一)= 0。0 3:8 hyperboxes生成”gydF4y2Baname="206121.fig.002a" src="https://static-01.hindawi.com/articles/afs/volume-2012/206121/figures/206121.fig.002a.jpg"> <br> <strong>(一)=0。0 3:8 hyperboxes生成</年代trong> </div> <div class="partial-carousel--single-image"> <img alt="(b) = 0。0 5:五hyperboxes生成”gydF4y2Baname="206121.fig.002b" src="https://static-01.hindawi.com/articles/afs/volume-2012/206121/figures/206121.fig.002b.jpg"> <br> <strong>(b)=0。0 5:五hyperboxes生成</年代trong> </div> <div class="partial-carousel--single-image"> <img alt="(c) = 0。0 8:四个hyperboxes生成”gydF4y2Baname="206121.fig.002c" src="https://static-01.hindawi.com/articles/afs/volume-2012/206121/figures/206121.fig.002c.jpg"> <br> <strong>(c) = 0 . 0 8 : four hyperboxes are generated</年代trong> </div> <div class="partial-carousel--single-image"> <img alt="(d) = 0。0 9:三个hyperboxes生成”gydF4y2Baname="206121.fig.002d" src="https://static-01.hindawi.com/articles/afs/volume-2012/206121/figures/206121.fig.002d.jpg"> <br> <strong>(d)=0。0 9:三个hyperboxes生成</年代trong> </div> </div> <div class="floats-partial-middle"> <div class="floats-partial-middle--thumbs fig-thumbs-fig2"> <button class="partial-carousel-dot" aria-label="(a) 𝜌 = 0 . 0 3 : eight hyperboxes are generated"><img alt="(一)= 0。0 3:8 hyperboxes生成”gydF4y2Baname="206121.fig.002a" src="https://static-01.hindawi.com/articles/afs/volume-2012/206121/figures/206121.fig.002a.jpg"><br><strong>(一)=0。0 3:8 hyperboxes生成</年代trong></button> <button class="partial-carousel-dot" aria-label="(b) 𝜌 = 0 . 0 5 : five hyperboxes are generated"><img alt="(b) = 0。0 5:五hyperboxes生成”gydF4y2Baname="206121.fig.002b" src="https://static-01.hindawi.com/articles/afs/volume-2012/206121/figures/206121.fig.002b.jpg"><br><strong>(b)=0。0 5:五hyperboxes生成</年代trong></button> <button class="partial-carousel-dot" aria-label="(c) 𝜌 = 0 . 0 8 : four hyperboxes are generated"><img alt="(c) = 0。0 8:四个hyperboxes生成”gydF4y2Baname="206121.fig.002c" src="https://static-01.hindawi.com/articles/afs/volume-2012/206121/figures/206121.fig.002c.jpg"><br><strong>(c) = 0 . 0 8 : four hyperboxes are generated</年代trong></button> <button class="partial-carousel-dot" aria-label="(d) 𝜌 = 0 . 0 9 : three hyperboxes are generated"><img alt="(d) = 0。0 9:三个hyperboxes生成”gydF4y2Baname="206121.fig.002d" src="https://static-01.hindawi.com/articles/afs/volume-2012/206121/figures/206121.fig.002d.jpg"><br><strong>(d)=0。0 9:三个hyperboxes生成</年代trong></button> </div> <div class="partial-carousel-next-prev fig-nav-fig2"> <button class="carousel-prev" aria-label="Previous"></button> <button class="carousel-next" aria-label="Next"></button> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图2</年代p一个n> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/afs/2012/206121/fig2/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <table> 修改生成的决策边界FLR有四个不同的阈值参数。</t一个ble> </div> </div> </div> <p>在前一节中说,FLR属性之一是知识表示的能力。的确,FLR能够提取隐含的数据,并将这些规则以外的特性。每个规则表示为<我>如果</我> <svg height="14.6" id="M167" style="vertical-align:-3.13504pt;width:159.6125px;" version="1.1" viewbox="0 0 159.6125 14.6" width="159.6125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.6)"> <g transform="translate(72,-60.32)"> <text transform="matrix(1,0,0,-1,-63.61,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-53.17,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-44.13,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.9646511" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="19.604704" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="31.745117" y="0"> ⋯</t年代p一个n> <tspan style="font-size: 12.50px; " x="45.410896" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="54.375546" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="65.015602" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="79.244011" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,41.4,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,51.48,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代p一个n> </text> </g> </g> </svg><i>然后</我> <svg height="14.45" id="M168" style="vertical-align:-3.2316pt;width:14.6375px;" version="1.1" viewbox="0 0 14.6375 14.45" width="14.6375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.45)"> <g transform="translate(72,-60.44)"> <text transform="matrix(1,0,0,-1,-71.95,63.71)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-63.56,60.58)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>在哪里<年代vg height="16.637501" id="M169" style="vertical-align:-4.77652pt;width:101.675px;" version="1.1" viewbox="0 0 101.675 16.637501" width="101.675" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.6375)"> <g transform="translate(72,-58.69)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-65.67,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-61.25,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2137508" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="13.540749" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="25.581139" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="31.832638" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="37.046391" y="0"> …</t年代p一个n> <tspan style="font-size: 12.50px; " x="51.624886" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="56.838638" y="0"> </t年代p一个n> </text> </g> </g> </svg>属性,每一个对应于一个区间,然后呢<年代vg height="14.7125" id="M170" style="vertical-align:-3.2316pt;width:91.737503px;" version="1.1" viewbox="0 0 91.737503 14.7125" width="91.737503" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.7125)"> <g transform="translate(72,-60.23)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-63.56,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-60.34,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="12.565515" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.605904" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="30.857405" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.058651" y="0"> …</t年代p一个n> <tspan style="font-size: 12.50px; " x="50.649654" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="55.863403" y="0"> </t年代p一个n> </text> </g> </g> </svg>类标签。表<一个href="//www.newsama.com/journals/afs/2012/206121/tab1/" target="_blank">1</一个>显示三个诱导规则对应的图<一个href="//www.newsama.com/journals/afs/2012/206121/fig2/" target="_blank">2 (d)</一个>。</pgydF4y2Ba> <div class="floats-partial-section partial-other-wrapper" data-section="tab1"> <div class="floats-partial-content fig-content-tab1"> <table class="table-group" id="tab1"> <tbody> <tr> <td> <table class="table"> <tbody> <tr> <td class="thead-hr" colspan="7"> <hr></td> </tr> <tr class="thead"> <td align="left" rowspan="2">没有规则。</tdgydF4y2Ba> <td align="center" colspan="5">属性</tdgydF4y2Ba> <td align="center" rowspan="1">类标签</tdgydF4y2Ba> </tr> <tr class="thead"> <td align="center"></td> <td align="center">a1</tdgydF4y2Ba> <td align="center"></td> <td align="center">a2</tdgydF4y2Ba> <td align="center"></td> </tr> <tr> <td class="thead-hr" colspan="7"> <hr></td> </tr> <tr> <td align="left">1</tdgydF4y2Ba> <td align="center">如果</tdgydF4y2Ba> <td align="center">[0.18,0.27]</tdgydF4y2Ba> <td align="center">和</tdgydF4y2Ba> <td align="center">[0.16,0.3]</tdgydF4y2Ba> <td align="center">然后</tdgydF4y2Ba> <td align="center">1</tdgydF4y2Ba> </tr> <tr> <td align="left">2</tdgydF4y2Ba> <td align="center">如果</tdgydF4y2Ba> <td align="center">[0.34,0.34]</tdgydF4y2Ba> <td align="center">和</tdgydF4y2Ba> <td align="center">[0.22,0.22]</tdgydF4y2Ba> <td align="center">然后</tdgydF4y2Ba> <td align="center">2</tdgydF4y2Ba> </tr> <tr> <td align="left">3</tdgydF4y2Ba> <td align="center">如果</tdgydF4y2Ba> <td align="center">[0.43,0.49]</tdgydF4y2Ba> <td align="center">和</tdgydF4y2Ba> <td align="center">[0.2,0.28]</tdgydF4y2Ba> <td align="center">然后</tdgydF4y2Ba> <td align="center">3</tdgydF4y2Ba> </tr> <tr class="table-tr"> <td colspan="7"> <hr class="tbody-hr"></td> </tr> </tbody> </table></td> </tr> </tbody> </table> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">表1</年代p一个n> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/afs/2012/206121/tab1/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> 三个FLR诱导生成的规则修改。</d我v> </div> </div> <h4 id="experimental-results-and-discussions">4所示。实验结果和讨论</gydF4y2Bah4> <h5 id="sec4.1">4.1。基准数据集描述</gydF4y2Bah5> <p>在本节中,我们评估的分类性能优化FLR在一系列实验六个著名的基准。</pgydF4y2Ba> <h6 id="sec4.1.1">以下4.4.1。对象识别</gydF4y2Bah6> <p>我们评估的分类性能使用哥伦比亚图像数据库的图像(FLR模型<一个href="#B28">28</一个>]。哥伦比亚对象图像库(线圈- 100)100年是彩色图像的数据库对象。我们选择了从数据集如图10对象<一个href="//www.newsama.com/journals/afs/2012/206121/fig3/" target="_blank">3</一个>。电动转盘上的对象被放置在一个黑色的背景下。转盘的旋转360°是不同对象构成对一个固定的颜色相机。对象的图像拍摄的姿势间隔5°。这对应于72年提出了每个对象。图像大小归一化。有720<年代vg height="11.075" id="M171" style="vertical-align:-0.3135pt;width:74.375px;" version="1.1" viewbox="0 0 74.375 11.075" width="74.375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.075)"> <g transform="translate(72,-63.14)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.503" y="0"> 8</t年代p一个n> <tspan style="font-size: 12.50px; " x="25.693665" y="0"> ×</t年代p一个n> <tspan style="font-size: 12.50px; " x="40.647251" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="46.898754" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="53.150253" y="0"> 8</t年代p一个n> </text> </g> </g> </svg>维实例分成10个单独的类;为每个类72;每个每个对象只有6个随机选择的实例是满足整个训练集,和其余的模式是用于测试集。其目的是测试数据的正确分类相应的类。</pgydF4y2Ba> <div class="floats-partial-section partial-carousel-wrapper" data-section="fig3"> <div class="floats-partial-content fig-content-fig3"> <div class="partial-carousel--single-image"> <img alt="" name="206121.fig.003" src="https://static-01.hindawi.com/articles/afs/volume-2012/206121/figures/206121.fig.003.jpg"> <br> <strong></strong> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图3</年代p一个n> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/afs/2012/206121/fig3/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <table> 十个对象用于训练网络。</t一个ble> </div> </div> </div> <h6 id="sec4.1.2">4.1.2。图像分割</gydF4y2Bah6> <p>图像分割的数据集是由远景集团捐赠的,马萨诸塞大学,和包含在机器学习库的加州大学欧文分校(<一个href="#B29">29日</一个>]。图像分割的数据集是由许多相关的数据分析细分图像颜色的表面图像的类型。每个图像被划分为小的部分,每一个都由一个点的数据。每个数据点是由18个不同的属性,包括确定的形象:砖的脸,树叶,草,天空,窗口,混凝土,和污垢。这个数据集包含210个样本进行训练和2100个样本进行测试。这样做的目的是区分七种不同的类。</pgydF4y2Ba> <h6 id="sec4.1.3">4.1.3。触控笔手写数字的识别</gydF4y2Bah6> <p>触控笔手写数字的识别数据集来自UCI机器学习数据库的存储库(<一个href="#B29">29日</一个>]。它是由收集250位样本44作家。数据有16连续属性分布在10类分开。显式给定的训练集。更快的模拟,我们调整了训练集随机选择6个/每个类实例。数字0到9之间的分布数据集如图<一个href="//www.newsama.com/journals/afs/2012/206121/fig4/" target="_blank">4</一个>。</pgydF4y2Ba> <div class="floats-partial-section partial-carousel-wrapper" data-section="fig4"> <div class="floats-partial-content fig-content-fig4"> <div class="partial-carousel--single-image"> <img alt="" name="206121.fig.004" src="https://static-01.hindawi.com/articles/afs/volume-2012/206121/figures/206121.fig.004.jpg"> <br> <strong></strong> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图4</年代p一个n> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/afs/2012/206121/fig4/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <table> 从手写的数字数据集样本位数。</t一个ble> </div> </div> </div> <h6 id="sec4.1.4">4.1.4。字母识别</gydF4y2Bah6> <p>的字母识别指标采用UCI机器学习数据库的存储库(<一个href="#B29">29日</一个>]。数据集由20000个不同的字母随机生成的图像扭曲的像素图像26个大写字母从20个不同的商业字体。父字体代表一个完整的范围的字符类型包括脚本,斜体,衬线和哥特式。每一个20000个字符的特点总结了16的原始数值属性。训练集不明确。我们已经把所有的数据分为训练集组成的随机模式已选中的10%,其余组成的一套测试模式。图中给出的字符图像的例子<一个href="//www.newsama.com/journals/afs/2012/206121/fig5/" target="_blank">5</一个>。</pgydF4y2Ba> <div class="floats-partial-section partial-carousel-wrapper" data-section="fig5"> <div class="floats-partial-content fig-content-fig5"> <div class="partial-carousel--single-image"> <img alt="" name="206121.fig.005" src="https://static-01.hindawi.com/articles/afs/volume-2012/206121/figures/206121.fig.005.jpg"> <br> <strong></strong> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图5</年代p一个n> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/afs/2012/206121/fig5/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <table> 字符图像的例子。</t一个ble> </div> </div> </div> <h6 id="sec4.1.5">4.1.5。Semion手识别</gydF4y2Bah6> <p>semion手识别基准来自UCI机器学习数据库的存储库(<一个href="#B29">29日</一个>]。这个数据集包括1593个手写的数字从80人在一个矩形框扫描和拉伸<年代vg height="11.2" id="M172" style="vertical-align:-0.3135pt;width:48.325001px;" version="1.1" viewbox="0 0 48.325001 11.2" width="48.325001" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.2)"> <g transform="translate(72,-63.04)"> <text transform="matrix(1,0,0,-1,-71.95,63.4)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> 6</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.278666" y="0"> ×</t年代p一个n> <tspan style="font-size: 12.50px; " x="26.056252" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.307751" y="0"> 6</t年代p一个n> </text> </g> </g> </svg>256年一个灰度值。然后每个图像的每个像素使用固定阈值扩展成一个布尔值。每个人写一篇论文所有的数字从0到9,两次。承诺是写数字第一次正常,第二次快。我们使用10%的整个训练集的数据。</pgydF4y2Ba> <h6 id="sec4.1.6">4.1.6。视觉识别的手写数字</gydF4y2Bah6> <p>光学识别的手写数字基准采用UCI机器学习数据库的存储库(<一个href="#B29">29日</一个>]。在这个数据集,<年代vg height="11.075" id="M173" style="vertical-align:-0.3135pt;width:48.325001px;" version="1.1" viewbox="0 0 48.325001 11.075" width="48.325001" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.075)"> <g transform="translate(72,-63.14)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.278666" y="0"> ×</t年代p一个n> <tspan style="font-size: 12.50px; " x="26.056252" y="0"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.307751" y="0"> 2</t年代p一个n> </text> </g> </g> </svg>位图的手写的数字共有43人分为不重叠的块<年代vg height="11.075" id="M174" style="vertical-align:-0.3135pt;width:32.700001px;" version="1.1" viewbox="0 0 32.700001 11.075" width="32.700001" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.075)"> <g transform="translate(72,-63.14)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 4</t年代p一个n> <tspan style="font-size: 12.50px; " x="9.0271664" y="0"> ×</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.804752" y="0"> 4</t年代p一个n> </text> </g> </g> </svg>,在每个像素计算块的数量。这生成一个输入矩阵<年代vg height="11.075" id="M175" style="vertical-align:-0.3135pt;width:32.700001px;" version="1.1" viewbox="0 0 32.700001 11.075" width="32.700001" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.075)"> <g transform="translate(72,-63.14)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 8</t年代p一个n> <tspan style="font-size: 12.50px; " x="9.0271664" y="0"> ×</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.804752" y="0"> 8</t年代p一个n> </text> </g> </g> </svg>其中每个元素是一个整数的范围从0到16。这降低了维数,给小变形不变性。训练集和测试集给出明确包括3823年和1797年64 -维样本。更快的模拟,我们使用数据集的方式是采用10%的实际训练训练集。</pgydF4y2Ba> <p>表<一个href="//www.newsama.com/journals/afs/2012/206121/tab2/" target="_blank">2</一个>显示简单的特点选定的基准数据集。</pgydF4y2Ba> <div class="floats-partial-section partial-other-wrapper" data-section="tab2"> <div class="floats-partial-content fig-content-tab2"> <table class="table-group" id="tab2"> <tbody> <tr> <td> <table class="table"> <tbody> <tr> <td class="thead-hr" colspan="6"> <hr></td> </tr> <tr class="thead"> <td align="left">数据集</tdgydF4y2Ba> <td align="center">不。数据集的元素</tdgydF4y2Ba> <td align="center">不。的训练数据</tdgydF4y2Ba> <td align="center">不。的测试数据</tdgydF4y2Ba> <td align="center">不。输入属性</tdgydF4y2Ba> <td align="center">不。类的</tdgydF4y2Ba> </tr> <tr> <td class="thead-hr" colspan="6"> <hr></td> </tr> <tr> <td align="left">哥伦比亚的形象</tdgydF4y2Ba> <td align="center">720年</tdgydF4y2Ba> <td align="center">60</tdgydF4y2Ba> <td align="center">620年</tdgydF4y2Ba> <td align="center">16384年</tdgydF4y2Ba> <td align="center">10</tdgydF4y2Ba> </tr> <tr> <td align="left">图像分割</tdgydF4y2Ba> <td align="center">2310年</tdgydF4y2Ba> <td align="center">210年</tdgydF4y2Ba> <td align="center">2100年</tdgydF4y2Ba> <td align="center">19</tdgydF4y2Ba> <td align="center">7</tdgydF4y2Ba> </tr> <tr> <td align="left">触控笔的认可</tdgydF4y2Ba> <td align="center">3558年</tdgydF4y2Ba> <td align="center">60</tdgydF4y2Ba> <td align="center">3498年</tdgydF4y2Ba> <td align="center">16</tdgydF4y2Ba> <td align="center">10</tdgydF4y2Ba> </tr> <tr> <td align="left">字母识别</tdgydF4y2Ba> <td align="center">20000年</tdgydF4y2Ba> <td align="center">2000年</tdgydF4y2Ba> <td align="center">18000年</tdgydF4y2Ba> <td align="center">16</tdgydF4y2Ba> <td align="center">26</tdgydF4y2Ba> </tr> <tr> <td align="left">Semion手识别</tdgydF4y2Ba> <td align="center">1593年</tdgydF4y2Ba> <td align="center">162年</tdgydF4y2Ba> <td align="center">1431年</tdgydF4y2Ba> <td align="center">256年</tdgydF4y2Ba> <td align="center">10</tdgydF4y2Ba> </tr> <tr> <td align="left">视觉识别的<gydF4y2Babr>手写的数字</tdgydF4y2Ba> <td align="center">2182年</tdgydF4y2Ba> <td align="center">385年</tdgydF4y2Ba> <td align="center">1797年</tdgydF4y2Ba> <td align="center">64年</tdgydF4y2Ba> <td align="center">10</tdgydF4y2Ba> </tr> <tr class="table-tr"> <td colspan="6"> <hr class="tbody-hr"></td> </tr> </tbody> </table></td> </tr> </tbody> </table> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">表2</年代p一个n> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/afs/2012/206121/tab2/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> 6使用数据集的特征。</d我v> </div> </div> <h5 id="sec4.2">4.2。实验和结果</gydF4y2Bah5> <p>为了提供一个有意义的比较,所有的算法实现了在相同的环境中使用c++面向对象的编程语言,相同的分区数据集的训练和测试,同一订单的输入模式,和全面的参数,采用同构函数<年代vg height="13.45" id="M176" style="vertical-align:-2.21957pt;width:80.775002px;" version="1.1" viewbox="0 0 80.775002 13.45" width="80.775002" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.5390692" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="10.702568" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="17.579218" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="25.218552" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="37.258942" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="46.286106" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="57.626328" y="0"> </t年代p一个n> </text> </g> </g> </svg>。此外,所有的<年代vg height="10.325" id="M177" style="vertical-align:-0.0pt;width:14.8375px;" version="1.1" viewbox="0 0 14.8375 10.325" width="14.8375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>维数据归一化到太空<年代vg height="15.9625" id="M178" style="vertical-align:-1.95624pt;width:43.587502px;" version="1.1" viewbox="0 0 43.587502 15.9625" width="43.587502" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,15.9625)"> <g transform="translate(72,-59.23)"> <text transform="matrix(1,0,0,-1,-71.95,61.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.616247" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.867746" y="0"> ]</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-45.91,66.24)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>的函数<年代vg height="14.7125" id="M179" style="vertical-align:-3.22282pt;width:216.0125px;" version="1.1" viewbox="0 0 216.0125 14.7125" width="216.0125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.7125)"> <g transform="translate(72,-60.23)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-65.07,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> n</t年代p一个n> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> o</t年代p一个n> <tspan style="font-size: 8.75px; " x="8.7519999" y="0"> r</t年代p一个n> <tspan style="font-size: 8.75px; " x="11.666416" y="0"> 米</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-39.71,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="16.191385" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="25.856203" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="37.196426" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,4.37,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 米</t年代p一个n> <tspan style="font-size: 8.75px; " x="6.8090558" y="0"> 我</t年代p一个n> <tspan style="font-size: 8.75px; " x="9.2421122" y="0"> n</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,21.4,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> /</t年代p一个n> <tspan style="font-size: 12.50px; " x="7.6393328" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.802832" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,40.08,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 米</t年代p一个n> <tspan style="font-size: 8.75px; " x="6.8090558" y="0"> 一个</t年代p一个n> <tspan style="font-size: 8.75px; " x="10.694944" y="0"> x</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,61.35,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.327718" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,79.57,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 米</t年代p一个n> <tspan style="font-size: 8.75px; " x="6.8090558" y="0"> 我</t年代p一个n> <tspan style="font-size: 8.75px; " x="9.2421122" y="0"> n</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,96.6,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代p一个n> </text> </g> </g> </svg>,在那里<年代vg height="10.925" id="M180" style="vertical-align:-3.13504pt;width:30.012501px;" version="1.1" viewbox="0 0 30.012501 10.925" width="30.012501" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.925)"> <g transform="translate(72,-63.26)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 米</t年代p一个n> <tspan style="font-size: 8.75px; " x="6.8090558" y="0"> 我</t年代p一个n> <tspan style="font-size: 8.75px; " x="9.2421122" y="0"> n</t年代p一个n> </text> </g> </g> </svg>和<年代vg height="11.0375" id="M181" style="vertical-align:-3.22282pt;width:31.825001px;" version="1.1" viewbox="0 0 31.825001 11.0375" width="31.825001" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.0375)"> <g transform="translate(72,-63.17)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 米</t年代p一个n> <tspan style="font-size: 8.75px; " x="6.8090558" y="0"> 一个</t年代p一个n> <tspan style="font-size: 8.75px; " x="10.694944" y="0"> x</t年代p一个n> </text> </g> </g> </svg>站的最小和最大的属性值,分别在数据维度。在这部作品中,FLR算法具有线性估值函数<年代vg height="7.1624999" id="M182" style="vertical-align:-0.11285pt;width:8.7250004px;" version="1.1" viewbox="0 0 8.7250004 7.1624999" width="8.7250004" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1625)"> <g transform="translate(72,-66.27)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>、非线性估值反正切,估值和非线性对数函数表示,分别<年代vg height="14.475" id="M183" style="vertical-align:-3.21404pt;width:35.424999px;" version="1.1" viewbox="0 0 35.424999 14.475" width="35.424999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.475)"> <g transform="translate(72,-60.42)"> <text transform="matrix(1,0,0,-1,-71.95,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> F</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.9516678" y="0"> l</t年代p一个n> <tspan style="font-size: 12.50px; " x="14.591001" y="0"> R</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-49.02,60.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>,<年代vg height="14.4875" id="M184" style="vertical-align:-3.22282pt;width:34.900002px;" version="1.1" viewbox="0 0 34.900002 14.4875" width="34.900002" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.4875)"> <g transform="translate(72,-60.41)"> <text transform="matrix(1,0,0,-1,-71.95,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> F</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.9516678" y="0"> l</t年代p一个n> <tspan style="font-size: 12.50px; " x="14.591001" y="0"> R</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-49.02,60.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>,<年代vg height="14.4875" id="M185" style="vertical-align:-3.22282pt;width:33.112499px;" version="1.1" viewbox="0 0 33.112499 14.4875" width="33.112499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.4875)"> <g transform="translate(72,-60.41)"> <text transform="matrix(1,0,0,-1,-71.95,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> F</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.9516678" y="0"> l</t年代p一个n> <tspan style="font-size: 12.50px; " x="14.591001" y="0"> R</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-49.02,60.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>。比较学习能力,表<一个href="//www.newsama.com/journals/afs/2012/206121/tab3/" target="_blank">3</一个>显示了实验结果的比较<年代vg height="14.4875" id="M186" style="vertical-align:-3.22282pt;width:33.112499px;" version="1.1" viewbox="0 0 33.112499 14.4875" width="33.112499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.4875)"> <g transform="translate(72,-60.41)"> <text transform="matrix(1,0,0,-1,-71.95,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> F</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.9516678" y="0"> l</t年代p一个n> <tspan style="font-size: 12.50px; " x="14.591001" y="0"> R</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-49.02,60.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>的产生的<年代vg height="14.475" id="M187" style="vertical-align:-3.21404pt;width:35.424999px;" version="1.1" viewbox="0 0 35.424999 14.475" width="35.424999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.475)"> <g transform="translate(72,-60.42)"> <text transform="matrix(1,0,0,-1,-71.95,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> F</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.9516678" y="0"> l</t年代p一个n> <tspan style="font-size: 12.50px; " x="14.591001" y="0"> R</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-49.02,60.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>和<年代vg height="14.4875" id="M188" style="vertical-align:-3.22282pt;width:34.900002px;" version="1.1" viewbox="0 0 34.900002 14.4875" width="34.900002" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.4875)"> <g transform="translate(72,-60.41)"> <text transform="matrix(1,0,0,-1,-71.95,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> F</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.9516678" y="0"> l</t年代p一个n> <tspan style="font-size: 12.50px; " x="14.591001" y="0"> R</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-49.02,60.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>,SOM [<一个href="#B30">30.</一个>],模糊艺术[<一个href="#B11">11</一个>],和GRNN [<一个href="#B31">31日</一个>]。</pgydF4y2Ba> <div class="floats-partial-section partial-other-wrapper" data-section="tab3"> <div class="floats-partial-content fig-content-tab3"> <table class="table-group" id="tab3"> <tbody> <tr> <td> <table class="table"> <tbody> <tr> <td class="thead-hr" colspan="7"> <hr></td> </tr> <tr class="thead"> <td align="left">数据集<我>∖</我>算法</tdgydF4y2Ba> <td align="center">耶鲁大学管理学院</tdgydF4y2Ba> <td align="center">Fuzzy-ART</tdgydF4y2Ba> <td align="center">GRNN</tdgydF4y2Ba> <td align="center"><span style="width: 35.424999px;"> <svg height="14.475" id="M189" style="vertical-align:-3.21404pt" version="1.1" viewbox="0 0 35.424999 14.475" width="35.424999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.475)"> <g transform="translate(72,-60.42)"> <text transform="matrix(1,0,0,-1,-71.95,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> F</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.9516678" y="0"> l</t年代p一个n> <tspan style="font-size: 12.50px; " x="14.591001" y="0"> R</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-49.02,60.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg></span></td> <td align="center"><span style="width: 34.900002px;"> <svg height="14.4875" id="M190" style="vertical-align:-3.22282pt" version="1.1" viewbox="0 0 34.900002 14.4875" width="34.900002" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.4875)"> <g transform="translate(72,-60.41)"> <text transform="matrix(1,0,0,-1,-71.95,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> F</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.9516678" y="0"> l</t年代p一个n> <tspan style="font-size: 12.50px; " x="14.591001" y="0"> R</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-49.02,60.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg></span></td> <td align="center"><span style="width: 33.112499px;"> <svg height="14.4875" id="M191" style="vertical-align:-3.22282pt" version="1.1" viewbox="0 0 33.112499 14.4875" width="33.112499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.4875)"> <g transform="translate(72,-60.41)"> <text transform="matrix(1,0,0,-1,-71.95,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> F</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.9516678" y="0"> l</t年代p一个n> <tspan style="font-size: 12.50px; " x="14.591001" y="0"> R</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-49.02,60.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg></span></td> </tr> <tr> <td class="thead-hr" colspan="7"> <hr></td> </tr> <tr> <td align="left">哥伦比亚的形象</tdgydF4y2Ba> <td align="center"><span style="width: 58.724998px;"> <svg height="13.45" id="M192" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 58.724998 13.45" width="58.724998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 4</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.503" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.62875" y="0"> 8</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.880251" y="0"> 7</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.29525" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.458748" y="0"> 4</t年代p一个n> <tspan style="font-size: 12.50px; " x="42.710247" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span></td> <td align="center"><span style="width: 58.724998px;"> <svg height="13.6375" id="M193" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 58.724998 13.6375" width="58.724998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6375)"> <g transform="translate(72,-61.09)"> <text transform="matrix(1,0,0,-1,-71.95,63.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 4</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.503" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.62875" y="0"> 8</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.880251" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.29525" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.458748" y="0"> 5</t年代p一个n> <tspan style="font-size: 12.50px; " x="42.710247" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span></td> <td align="center"><span style="width: 58.724998px;"> <svg height="13.575" id="M194" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 58.724998 13.575" width="58.724998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.575)"> <g transform="translate(72,-61.14)"> <text transform="matrix(1,0,0,-1,-71.95,63.4)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 9</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.503" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.62875" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.880251" y="0"> 6</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.29525" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.458748" y="0"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="42.710247" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span></td> <td align="center"><span style="width: 58.724998px;"> <svg height="13.45" id="M195" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 58.724998 13.45" width="58.724998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 9</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> 4</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.503" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.62875" y="0"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.880251" y="0"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.29525" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.458748" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="42.710247" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span></td> <td align="center"><span style="width: 58.724998px;"> <svg height="13.6375" id="M196" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 58.724998 13.6375" width="58.724998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6375)"> <g transform="translate(72,-61.09)"> <text transform="matrix(1,0,0,-1,-71.95,63.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="12.503" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.62875" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="21.880251" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="32.29525" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.458748" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="42.710247" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span></td> <td align="center"><span style="width: 58.724998px;"> <svg height="13.6375" id="M197" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 58.724998 13.6375" width="58.724998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6375)"> <g transform="translate(72,-61.09)"> <text transform="matrix(1,0,0,-1,-71.95,63.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="12.503" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.62875" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="21.880251" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="32.29525" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.458748" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="42.710247" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span></td> </tr> <tr> <td align="left">图像分割</tdgydF4y2Ba> <td align="center"><span style="width: 58.724998px;"> <svg height="13.6375" id="M198" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 58.724998 13.6375" width="58.724998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6375)"> <g transform="translate(72,-61.09)"> <text transform="matrix(1,0,0,-1,-71.95,63.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 7</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> 9</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.503" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.62875" y="0"> 8</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.880251" y="0"> 6</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.29525" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.458748" y="0"> 5</t年代p一个n> <tspan style="font-size: 12.50px; " x="42.710247" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span></td> <td align="center"><span style="width: 58.724998px;"> <svg height="13.45" id="M199" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 58.724998 13.45" width="58.724998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 8</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> 8</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.503" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.62875" y="0"> 7</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.880251" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.29525" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.458748" y="0"> 4</t年代p一个n> <tspan style="font-size: 12.50px; " x="42.710247" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span></td> <td align="center"><span style="width: 58.724998px;"> <svg height="13.45" id="M200" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 58.724998 13.45" width="58.724998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 9</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.503" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.62875" y="0"> 4</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.880251" y="0"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.29525" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.458748" y="0"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="42.710247" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span></td> <td align="center"><span style="width: 58.724998px;"> <svg height="13.6375" id="M201" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 58.724998 13.6375" width="58.724998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6375)"> <g transform="translate(72,-61.09)"> <text transform="matrix(1,0,0,-1,-71.95,63.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="12.503" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.62875" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="21.880251" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="32.29525" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.458748" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="42.710247" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span></td> <td align="center"><span style="width: 58.724998px;"> <svg height="13.45" id="M202" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 58.724998 13.45" width="58.724998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 9</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.503" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.62875" y="0"> 7</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.880251" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.29525" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.458748" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="42.710247" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span></td> <td align="center"><span style="width: 58.724998px;"> <svg height="13.6375" id="M203" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 58.724998 13.6375" width="58.724998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6375)"> <g transform="translate(72,-61.09)"> <text transform="matrix(1,0,0,-1,-71.95,63.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="12.503" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.62875" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="21.880251" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="32.29525" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.458748" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="42.710247" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span></td> </tr> <tr> <td align="left">触控笔的认可</tdgydF4y2Ba> <td align="center"><span style="width: 58.724998px;"> <svg height="13.575" id="M204" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 58.724998 13.575" width="58.724998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.575)"> <g transform="translate(72,-61.14)"> <text transform="matrix(1,0,0,-1,-71.95,63.4)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 7</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> 9</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.503" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.62875" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.880251" y="0"> 4</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.29525" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.458748" y="0"> 6</t年代p一个n> <tspan style="font-size: 12.50px; " x="42.710247" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span></td> <td align="center"><span style="width: 58.724998px;"> <svg height="13.6375" id="M205" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 58.724998 13.6375" width="58.724998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6375)"> <g transform="translate(72,-61.09)"> <text transform="matrix(1,0,0,-1,-71.95,63.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 6</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> 5</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.503" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.62875" y="0"> 7</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.880251" y="0"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.29525" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.458748" y="0"> 5</t年代p一个n> <tspan style="font-size: 12.50px; " x="42.710247" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span></td> <td align="center"><span style="width: 58.724998px;"> <svg height="13.6375" id="M206" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 58.724998 13.6375" width="58.724998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6375)"> <g transform="translate(72,-61.09)"> <text transform="matrix(1,0,0,-1,-71.95,63.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 8</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.503" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.62875" y="0"> 8</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.880251" y="0"> 5</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.29525" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.458748" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="42.710247" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span></td> <td align="center"><span style="width: 58.724998px;"> <svg height="13.45" id="M207" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 58.724998 13.45" width="58.724998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 8</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.503" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.62875" y="0"> 4</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.880251" y="0"> 8</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.29525" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.458748" y="0"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="42.710247" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span></td> <td align="center"><span style="width: 58.724998px;"> <svg height="13.6375" id="M208" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 58.724998 13.6375" width="58.724998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6375)"> <g transform="translate(72,-61.09)"> <text transform="matrix(1,0,0,-1,-71.95,63.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 8</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.503" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.62875" y="0"> 8</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.880251" y="0"> 5</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.29525" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.458748" y="0"> 4</t年代p一个n> <tspan style="font-size: 12.50px; " x="42.710247" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span></td> <td align="center"><span style="width: 58.724998px;"> <svg height="13.6375" id="M209" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 58.724998 13.6375" width="58.724998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6375)"> <g transform="translate(72,-61.09)"> <text transform="matrix(1,0,0,-1,-71.95,63.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="12.503" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.62875" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="21.880251" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="32.29525" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.458748" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="42.710247" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span></td> </tr> <tr> <td align="left">字母识别</tdgydF4y2Ba> <td align="center"><span style="width: 58.724998px;"> <svg height="13.6375" id="M210" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 58.724998 13.6375" width="58.724998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6375)"> <g transform="translate(72,-61.09)"> <text transform="matrix(1,0,0,-1,-71.95,63.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 6</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> 8</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.503" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.62875" y="0"> 6</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.880251" y="0"> 5</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.29525" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.458748" y="0"> 5</t年代p一个n> <tspan style="font-size: 12.50px; " x="42.710247" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span></td> <td align="center"><span style="width: 58.724998px;"> <svg height="13.6375" id="M211" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 58.724998 13.6375" width="58.724998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6375)"> <g transform="translate(72,-61.09)"> <text transform="matrix(1,0,0,-1,-71.95,63.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 6</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> 5</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.503" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.62875" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.880251" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.29525" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.458748" y="0"> 6</t年代p一个n> <tspan style="font-size: 12.50px; " x="42.710247" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span></td> <td align="center"><span style="width: 58.724998px;"> <svg height="13.45" id="M212" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 58.724998 13.45" width="58.724998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 8</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.503" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.62875" y="0"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.880251" y="0"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.29525" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.458748" y="0"> 4</t年代p一个n> <tspan style="font-size: 12.50px; " x="42.710247" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span></td> <td align="center"><span style="width: 58.724998px;"> <svg height="13.575" id="M213" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 58.724998 13.575" width="58.724998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.575)"> <g transform="translate(72,-61.14)"> <text transform="matrix(1,0,0,-1,-71.95,63.4)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 8</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> 4</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.503" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.62875" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.880251" y="0"> 6</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.29525" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.458748" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="42.710247" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span></td> <td align="center"><span style="width: 58.724998px;"> <svg height="13.45" id="M214" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 58.724998 13.45" width="58.724998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 8</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.503" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.62875" y="0"> 4</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.880251" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.29525" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.458748" y="0"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="42.710247" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span></td> <td align="center"><span style="width: 58.724998px;"> <svg height="13.6375" id="M215" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 58.724998 13.6375" width="58.724998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6375)"> <g transform="translate(72,-61.09)"> <text transform="matrix(1,0,0,-1,-71.95,63.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="12.503" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.62875" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="21.880251" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="32.29525" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.458748" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="42.710247" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span></td> </tr> <tr> <td align="left">Semion手识别</tdgydF4y2Ba> <td align="center"><span style="width: 58.724998px;"> <svg height="13.6375" id="M216" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 58.724998 13.6375" width="58.724998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6375)"> <g transform="translate(72,-61.09)"> <text transform="matrix(1,0,0,-1,-71.95,63.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 7</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.503" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.62875" y="0"> 5</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.880251" y="0"> 6</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.29525" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.458748" y="0"> 4</t年代p一个n> <tspan style="font-size: 12.50px; " x="42.710247" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span></td> <td align="center"><span style="width: 58.724998px;"> <svg height="13.6375" id="M217" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 58.724998 13.6375" width="58.724998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6375)"> <g transform="translate(72,-61.09)"> <text transform="matrix(1,0,0,-1,-71.95,63.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 6</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> 8</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.503" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.62875" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.880251" y="0"> 7</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.29525" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.458748" y="0"> 5</t年代p一个n> <tspan style="font-size: 12.50px; " x="42.710247" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span></td> <td align="center"><span style="width: 58.724998px;"> <svg height="13.45" id="M218" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 58.724998 13.45" width="58.724998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 7</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> 8</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.503" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.62875" y="0"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.880251" y="0"> 4</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.29525" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.458748" y="0"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="42.710247" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span></td> <td align="center"><span style="width: 58.724998px;"> <svg height="13.45" id="M219" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 58.724998 13.45" width="58.724998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 7</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> 8</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.503" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.62875" y="0"> 9</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.880251" y="0"> 7</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.29525" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.458748" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="42.710247" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span></td> <td align="center"><span style="width: 58.724998px;"> <svg height="13.45" id="M220" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 58.724998 13.45" width="58.724998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 7</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> 8</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.503" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.62875" y="0"> 9</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.880251" y="0"> 7</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.29525" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.458748" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="42.710247" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span></td> <td align="center"><span style="width: 58.724998px;"> <svg height="13.6375" id="M221" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 58.724998 13.6375" width="58.724998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6375)"> <g transform="translate(72,-61.09)"> <text transform="matrix(1,0,0,-1,-71.95,63.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="12.503" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.62875" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="21.880251" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="32.29525" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.458748" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="42.710247" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span></td> </tr> <tr> <td align="left">视觉识别的手写数字</tdgydF4y2Ba> <td align="center"><span style="width: 58.724998px;"> <svg height="13.6375" id="M222" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 58.724998 13.6375" width="58.724998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6375)"> <g transform="translate(72,-61.09)"> <text transform="matrix(1,0,0,-1,-71.95,63.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 8</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> 7</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.503" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.62875" y="0"> 8</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.880251" y="0"> 7</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.29525" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.458748" y="0"> 5</t年代p一个n> <tspan style="font-size: 12.50px; " x="42.710247" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span></td> <td align="center"><span style="width: 58.724998px;"> <svg height="13.575" id="M223" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 58.724998 13.575" width="58.724998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.575)"> <g transform="translate(72,-61.14)"> <text transform="matrix(1,0,0,-1,-71.95,63.4)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 8</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> 8</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.503" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.62875" y="0"> 7</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.880251" y="0"> 6</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.29525" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.458748" y="0"> 4</t年代p一个n> <tspan style="font-size: 12.50px; " x="42.710247" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span></td> <td align="center"><span style="width: 58.724998px;"> <svg height="13.6375" id="M224" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 58.724998 13.6375" width="58.724998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6375)"> <g transform="translate(72,-61.09)"> <text transform="matrix(1,0,0,-1,-71.95,63.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="12.503" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.62875" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="21.880251" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="32.29525" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.458748" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="42.710247" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span></td> <td align="center"><span style="width: 58.724998px;"> <svg height="13.45" id="M225" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 58.724998 13.45" width="58.724998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 9</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.503" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.62875" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.880251" y="0"> 7</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.29525" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.458748" y="0"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="42.710247" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span></td> <td align="center"><span style="width: 58.724998px;"> <svg height="13.575" id="M226" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 58.724998 13.575" width="58.724998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.575)"> <g transform="translate(72,-61.14)"> <text transform="matrix(1,0,0,-1,-71.95,63.4)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 9</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.503" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.62875" y="0"> 6</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.880251" y="0"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.29525" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.458748" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="42.710247" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span></td> <td align="center"><span style="width: 58.724998px;"> <svg height="13.45" id="M227" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 58.724998 13.45" width="58.724998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 9</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.503" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.62875" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.880251" y="0"> 7</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.29525" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.458748" y="0"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="42.710247" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span></td> </tr> <tr class="table-tr"> <td colspan="7"> <hr class="tbody-hr"></td> </tr> </tbody> </table></td> </tr> </tbody> </table> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">表3</年代p一个n> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/afs/2012/206121/tab3/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> 通过不同方法识别结果以及相对排名6基准。</d我v> </div> </div> <p>在所有的实验中为了达到最佳性能,我们认为GRNN方差参数的不同值介于0和0.5的步骤0.001。对于模糊艺术来说,我们选择参数设置为0.01,采取了警惕和学习参数的值在0和1之间的步骤0.01。计算实验的SOM算法被使用<年代vg height="13.45" id="M228" style="vertical-align:-2.21957pt;width:155.3125px;" version="1.1" viewbox="0 0 155.3125 13.45" width="155.3125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="15.341181" y="0"> ×</t年代p一个n> <tspan style="font-size: 12.50px; " x="26.118767" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="43.973049" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="48.136551" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="64.177902" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="76.218285" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="82.469788" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="87.671036" y="0"> …</t年代p一个n> <tspan style="font-size: 12.50px; " x="102.26204" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="107.47578" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="113.72729" y="0"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="119.97879" y="0"> )</t年代p一个n> </text> </g> </g> </svg>网格单元的数量和100时代。自从SOM产生的结果依赖于初始化权重,我们选择产生最好的结果的权重的随机初始化测试设置为10。FLR算法,应该调整的唯一参数是阈值大小的参数<年代vg height="9.875" id="M229" style="vertical-align:-2.29482pt;width:7.9749999px;" version="1.1" viewbox="0 0 7.9749999 9.875" width="7.9749999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,9.875)"> <g transform="translate(72,-64.1)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>。在我们的模拟中,大小<年代vg height="9.875" id="M230" style="vertical-align:-2.29482pt;width:7.9749999px;" version="1.1" viewbox="0 0 7.9749999 9.875" width="7.9749999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,9.875)"> <g transform="translate(72,-64.1)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>设置从0.01吗<年代vg height="10.325" id="M231" style="vertical-align:-0.0pt;width:14.8375px;" version="1.1" viewbox="0 0 14.8375 10.325" width="14.8375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg><i>,</我>在哪里<年代vg height="10.325" id="M232" style="vertical-align:-0.0pt;width:14.8375px;" version="1.1" viewbox="0 0 14.8375 10.325" width="14.8375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>输入数据的维数,在步骤0.01除了对象识别的数据集,我们已经准备好了吗<年代vg height="9.875" id="M233" style="vertical-align:-2.29482pt;width:7.9749999px;" version="1.1" viewbox="0 0 7.9749999 9.875" width="7.9749999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,9.875)"> <g transform="translate(72,-64.1)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>在步骤50将高维输入数据。只是为了<年代vg height="14.4875" id="M234" style="vertical-align:-3.22282pt;width:33.112499px;" version="1.1" viewbox="0 0 33.112499 14.4875" width="33.112499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.4875)"> <g transform="translate(72,-60.41)"> <text transform="matrix(1,0,0,-1,-71.95,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> F</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.9516678" y="0"> l</t年代p一个n> <tspan style="font-size: 12.50px; " x="14.591001" y="0"> R</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-49.02,60.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>位置参数<年代vg height="9.9375" id="M235" style="vertical-align:-2.34499pt;width:8.0625px;" version="1.1" viewbox="0 0 8.0625 9.9375" width="8.0625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,9.9375)"> <g transform="translate(72,-64.05)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>也应该调整。我们已经设置<年代vg height="9.9375" id="M236" style="vertical-align:-2.34499pt;width:8.0625px;" version="1.1" viewbox="0 0 8.0625 9.9375" width="8.0625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,9.9375)"> <g transform="translate(72,-64.05)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>1 - 50在步骤1中。</pgydF4y2Ba> <p>表<一个href="//www.newsama.com/journals/afs/2012/206121/tab3/" target="_blank">3</一个>列举了不同方法的分类精度和排名为每个基准。换句话说,每个表细胞,属于一个特定的学习算法和数据集,包含正确的百分比分类模型在相应的数据集。每个单元格中的数字在括号中显示了每种方法的排名后,运行在一个特定的数据集。最好的结果已经以粗体显示的脸。</pgydF4y2Ba> <p>我们可以看到在桌子上<一个href="//www.newsama.com/journals/afs/2012/206121/tab3/" target="_blank">3</一个>,<年代vg height="14.4875" id="M237" style="vertical-align:-3.22282pt;width:33.112499px;" version="1.1" viewbox="0 0 33.112499 14.4875" width="33.112499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.4875)"> <g transform="translate(72,-60.41)"> <text transform="matrix(1,0,0,-1,-71.95,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> F</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.9516678" y="0"> l</t年代p一个n> <tspan style="font-size: 12.50px; " x="14.591001" y="0"> R</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-49.02,60.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>取得了可接受的结果与其他方法相比,在5例,第一等级。在表<一个href="//www.newsama.com/journals/afs/2012/206121/tab4/" target="_blank">4</一个>在所有的数据集,平均分类精度为每个不同的学习算法以及新获得的相对排名已被证明。换句话说,第一个以前的表的每一列的平均值计算,那么相应的排名显示在括号内。因为它的所有方法中可以看出,<年代vg height="14.4875" id="M238" style="vertical-align:-3.22282pt;width:33.112499px;" version="1.1" viewbox="0 0 33.112499 14.4875" width="33.112499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.4875)"> <g transform="translate(72,-60.41)"> <text transform="matrix(1,0,0,-1,-71.95,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> F</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.9516678" y="0"> l</t年代p一个n> <tspan style="font-size: 12.50px; " x="14.591001" y="0"> R</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-49.02,60.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>在所有其他方法取得了最好的排名。</pgydF4y2Ba> <div class="floats-partial-section partial-other-wrapper" data-section="tab4"> <div class="floats-partial-content fig-content-tab4"> <table class="table-group" id="tab4"> <tbody> <tr> <td> <table class="table"> <tbody> <tr> <td class="thead-hr" colspan="7"> <hr></td> </tr> <tr class="thead"> <td align="left">算法</tdgydF4y2Ba> <td align="center">耶鲁大学管理学院</tdgydF4y2Ba> <td align="center">模糊的艺术</tdgydF4y2Ba> <td align="center">GRNN</tdgydF4y2Ba> <td align="center"><span style="width: 35.424999px;"> <svg height="14.475" id="M239" style="vertical-align:-3.21404pt" version="1.1" viewbox="0 0 35.424999 14.475" width="35.424999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.475)"> <g transform="translate(72,-60.42)"> <text transform="matrix(1,0,0,-1,-71.95,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> F</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.9516678" y="0"> l</t年代p一个n> <tspan style="font-size: 12.50px; " x="14.591001" y="0"> R</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-49.02,60.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg></span></td> <td align="center"><span style="width: 34.900002px;"> <svg height="14.4875" id="M240" style="vertical-align:-3.22282pt" version="1.1" viewbox="0 0 34.900002 14.4875" width="34.900002" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.4875)"> <g transform="translate(72,-60.41)"> <text transform="matrix(1,0,0,-1,-71.95,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> F</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.9516678" y="0"> l</t年代p一个n> <tspan style="font-size: 12.50px; " x="14.591001" y="0"> R</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-49.02,60.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg></span></td> <td align="center"><span style="width: 33.112499px;"> <svg height="14.4875" id="M241" style="vertical-align:-3.22282pt" version="1.1" viewbox="0 0 33.112499 14.4875" width="33.112499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.4875)"> <g transform="translate(72,-60.41)"> <text transform="matrix(1,0,0,-1,-71.95,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> F</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.9516678" y="0"> l</t年代p一个n> <tspan style="font-size: 12.50px; " x="14.591001" y="0"> R</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-49.02,60.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg></span></td> </tr> <tr> <td class="thead-hr" colspan="7"> <hr></td> </tr> <tr> <td align="left">平均</tdgydF4y2Ba> <td align="center">71.84<年代vg height="13.6375" id="M242" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 18.35 13.6375" width="18.35" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6375)"> <g transform="translate(72,-61.09)"> <text transform="matrix(1,0,0,-1,-71.95,63.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> 5</t年代p一个n> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> )</t年代p一个n> </text> </g> </g> </svg></td> <td align="center">69.58<年代vg height="13.575" id="M243" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 18.35 13.575" width="18.35" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.575)"> <g transform="translate(72,-61.14)"> <text transform="matrix(1,0,0,-1,-71.95,63.4)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> 6</t年代p一个n> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> )</t年代p一个n> </text> </g> </g> </svg></td> <td align="center">86.60<年代vg height="13.45" id="M244" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 18.35 13.45" width="18.35" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> 4</t年代p一个n> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> )</t年代p一个n> </text> </g> </g> </svg></td> <td align="center">87.50<年代vg height="13.45" id="M245" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 18.35 13.45" width="18.35" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> )</t年代p一个n> </text> </g> </g> </svg></td> <td align="center">87.32<年代vg height="13.45" id="M246" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 18.35 13.45" width="18.35" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> )</t年代p一个n> </text> </g> </g> </svg></td> <td align="center"><span style="width: 58.724998px;"> <svg height="13.6375" id="M247" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 58.724998 13.6375" width="58.724998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6375)"> <g transform="translate(72,-61.09)"> <text transform="matrix(1,0,0,-1,-71.95,63.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="12.503" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.62875" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="21.880251" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="32.29525" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.458748" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="42.710247" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span></td> </tr> <tr class="table-tr"> <td colspan="7"> <hr class="tbody-hr"></td> </tr> </tbody> </table></td> </tr> </tbody> </table> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">表4</年代p一个n> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/afs/2012/206121/tab4/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> 整个数据集的平均分类精度。</d我v> </div> </div> <p>在表<一个href="//www.newsama.com/journals/afs/2012/206121/tab5/" target="_blank">5</一个>,这种比较是根据队伍的和可用的表<一个href="//www.newsama.com/journals/afs/2012/206121/tab3/" target="_blank">3</一个>每列。尽管这个量较低的精密程度报告结果在某些情况下,非参数统计中是很常见的。在这个表中,我们可以看到<年代vg height="14.4875" id="M248" style="vertical-align:-3.22282pt;width:33.112499px;" version="1.1" viewbox="0 0 33.112499 14.4875" width="33.112499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.4875)"> <g transform="translate(72,-60.41)"> <text transform="matrix(1,0,0,-1,-71.95,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> F</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.9516678" y="0"> l</t年代p一个n> <tspan style="font-size: 12.50px; " x="14.591001" y="0"> R</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-49.02,60.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>,<年代vg height="14.475" id="M249" style="vertical-align:-3.21404pt;width:35.424999px;" version="1.1" viewbox="0 0 35.424999 14.475" width="35.424999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.475)"> <g transform="translate(72,-60.42)"> <text transform="matrix(1,0,0,-1,-71.95,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> F</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.9516678" y="0"> l</t年代p一个n> <tspan style="font-size: 12.50px; " x="14.591001" y="0"> R</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-49.02,60.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>,<年代vg height="14.4875" id="M250" style="vertical-align:-3.22282pt;width:34.900002px;" version="1.1" viewbox="0 0 34.900002 14.4875" width="34.900002" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.4875)"> <g transform="translate(72,-60.41)"> <text transform="matrix(1,0,0,-1,-71.95,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> F</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.9516678" y="0"> l</t年代p一个n> <tspan style="font-size: 12.50px; " x="14.591001" y="0"> R</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-49.02,60.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>分别获得第一、第二和第三的排名。应该指出,虽然没有统一的学习算法,可以得到最好的结果在所有基准测试,得到的结果<年代vg height="14.4875" id="M251" style="vertical-align:-3.22282pt;width:33.112499px;" version="1.1" viewbox="0 0 33.112499 14.4875" width="33.112499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.4875)"> <g transform="translate(72,-60.41)"> <text transform="matrix(1,0,0,-1,-71.95,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> F</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.9516678" y="0"> l</t年代p一个n> <tspan style="font-size: 12.50px; " x="14.591001" y="0"> R</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-49.02,60.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg>确认我们的模型是一种有效的分类器相比,建立分类器的文学。</pgydF4y2Ba> <div class="floats-partial-section partial-other-wrapper" data-section="tab5"> <div class="floats-partial-content fig-content-tab5"> <table class="table-group" id="tab5"> <tbody> <tr> <td> <table class="table"> <tbody> <tr> <td class="thead-hr" colspan="7"> <hr></td> </tr> <tr class="thead"> <td align="left">算法</tdgydF4y2Ba> <td align="center">耶鲁大学管理学院</tdgydF4y2Ba> <td align="center">Fuzzy-ART</tdgydF4y2Ba> <td align="center">GRNN</tdgydF4y2Ba> <td align="center"><span style="width: 35.424999px;"> <svg height="14.475" id="M252" style="vertical-align:-3.21404pt" version="1.1" viewbox="0 0 35.424999 14.475" width="35.424999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.475)"> <g transform="translate(72,-60.42)"> <text transform="matrix(1,0,0,-1,-71.95,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> F</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.9516678" y="0"> l</t年代p一个n> <tspan style="font-size: 12.50px; " x="14.591001" y="0"> R</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-49.02,60.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg></span></td> <td align="center"><span style="width: 34.900002px;"> <svg height="14.4875" id="M253" style="vertical-align:-3.22282pt" version="1.1" viewbox="0 0 34.900002 14.4875" width="34.900002" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.4875)"> <g transform="translate(72,-60.41)"> <text transform="matrix(1,0,0,-1,-71.95,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> F</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.9516678" y="0"> l</t年代p一个n> <tspan style="font-size: 12.50px; " x="14.591001" y="0"> R</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-49.02,60.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg></span></td> <td align="center"><span style="width: 33.112499px;"> <svg height="14.4875" id="M254" style="vertical-align:-3.22282pt" version="1.1" viewbox="0 0 33.112499 14.4875" width="33.112499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.4875)"> <g transform="translate(72,-60.41)"> <text transform="matrix(1,0,0,-1,-71.95,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> F</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.9516678" y="0"> l</t年代p一个n> <tspan style="font-size: 12.50px; " x="14.591001" y="0"> R</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-49.02,60.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> </g> </g> </svg></span></td> </tr> <tr> <td class="thead-hr" colspan="7"> <hr></td> </tr> <tr> <td align="left">秩和</tdgydF4y2Ba> <td align="center"><span style="width: 39.1875px;"> <svg height="13.6375" id="M255" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 39.1875 13.6375" width="39.1875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6375)"> <g transform="translate(72,-61.09)"> <text transform="matrix(1,0,0,-1,-71.95,63.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> 9</t年代p一个n> <tspan style="font-size: 12.50px; " x="16.666498" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="20.829998" y="0"> 5</t年代p一个n> <tspan style="font-size: 12.50px; " x="27.081497" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span></td> <td align="center"><span style="width: 39.1875px;"> <svg height="13.6375" id="M256" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 39.1875 13.6375" width="39.1875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6375)"> <g transform="translate(72,-61.09)"> <text transform="matrix(1,0,0,-1,-71.95,63.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> 9</t年代p一个n> <tspan style="font-size: 12.50px; " x="16.666498" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="20.829998" y="0"> 5</t年代p一个n> <tspan style="font-size: 12.50px; " x="27.081497" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span></td> <td align="center"><span style="width: 39.1875px;"> <svg height="13.575" id="M257" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 39.1875 13.575" width="39.1875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.575)"> <g transform="translate(72,-61.14)"> <text transform="matrix(1,0,0,-1,-71.95,63.4)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> 6</t年代p一个n> <tspan style="font-size: 12.50px; " x="16.666498" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="20.829998" y="0"> 4</t年代p一个n> <tspan style="font-size: 12.50px; " x="27.081497" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span></td> <td align="center"><span style="width: 39.1875px;"> <svg height="13.45" id="M258" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 39.1875 13.45" width="39.1875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="16.666498" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="20.829998" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="27.081497" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span></td> <td align="center"><span style="width: 39.1875px;"> <svg height="13.45" id="M259" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 39.1875 13.45" width="39.1875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> 4</t年代p一个n> <tspan style="font-size: 12.50px; " x="16.666498" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="20.829998" y="0"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="27.081497" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span></td> <td align="center"><span style="width: 31.375px;"> <svg height="13.6375" id="M260" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 31.375 13.6375" width="31.375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6375)"> <g transform="translate(72,-61.09)"> <text transform="matrix(1,0,0,-1,-71.95,63.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="14.578498" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="20.829998" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span></td> </tr> <tr class="table-tr"> <td colspan="7"> <hr class="tbody-hr"></td> </tr> </tbody> </table></td> </tr> </tbody> </table> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">表5</年代p一个n> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/afs/2012/206121/tab5/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> 排名的表<一个href="//www.newsama.com/journals/afs/2012/206121/tab3/" target="_blank">3</一个>每一列。</d我v> </div> </div> <h4 id="conclusion">5。结论</gydF4y2Bah4> <p>在这项工作中,我们引入了改进的模糊格推理(FLR)分类器使用一个新的非线性积极估值函数。我们有了新的FLR模型的性能在几个著名的分类问题。实验结果表明,我们提出的方法优于建立分类模型的分类精度测试数据。</pgydF4y2Ba> </div> <div class="xml-content"> <h4 class="references" id="references">引用</gydF4y2Bah4> <ol> <li id="B1">g .比尔科夫<我>晶格理论</我>美国,美国数学学会,普罗维登斯,国际扶轮,第3版,1967年版。<年代p一个nclass="reflinks"></span></li> <li id="B2">v . g . 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Murphy,<我>UCI机器学习数据库的存储库</我>、部门的信息和计算机科学,加州大学欧文,欧文,加州,美国,1996年,<一个t一个rget="_blank" href="http://archive.ics.uci.edu/ml/datasets.html">http://archive.ics.uci.edu/ml/datasets.html</一个>。<年代p一个nclass="reflinks"></span></li> <li id="B30">t . Kohonen和p . Somervuo”,如何让nonvectorial大自组织映射数据,”<我>神经网络</我>,15卷,不。8 - 9,945 - 952年,2002页。<年代p一个nclass="reflinks">视图:<一个href="https://doi.org/10.1016/S0893-6080(02)00069-2">出版商的网站</一个><span class="sep">|</年代p一个n><a href="https://scholar.google.com/scholar_lookup?title=How%20to%20make%20large%20self-organizing%20maps%20for%20nonvectorial%20data&author=T. Kohonen &author=P. Somervuo&publication_year=2002" target="_blank">谷歌学术搜索</一个></span></li> <li id="B31">d . f . Specht“一般回归神经网络,”<我>IEEE神经网络</我>,卷2,不。6,568 - 576年,1991页。<年代p一个nclass="reflinks">视图:<一个href="https://doi.org/10.1109/72.97934">出版商的网站</一个><span class="sep">|</年代p一个n><a href="https://scholar.google.com/scholar_lookup?title=A%20general%20regression%20neural%20network&author=D. F. Specht&publication_year=1991" target="_blank">谷歌学术搜索</一个></span></li> </ol> </div> <div class="xml-content"> <h4 class="copyright" id="copyright">版权</gydF4y2Bah4> <p>版权©2012 Yazdan卷Khezeli Hossein Nezamabadi-pour。这是一个开放的分布式下文章<一个rel="license" href="http://creativecommons.org/licenses/by/3.0/">知识共享归属许可</一个>,它允许无限制的使用、分配和复制在任何媒介,提供最初的工作是正确引用。</pgydF4y2Ba> </div> </div> </article> </div> </div> </div> <div class="biblio__Wrapper-sc-1nou1lz-0 eyHfWh journal_article__BiblioIntegratorWidget-sc-12fk6zy-5 dbAANp article_widget biblioWrapper hide"> <hr> <h4 class="biblio__H4-sc-1nou1lz-2 becpDt hrTitleRef">更多相关文章</gydF4y2Bah4> <div id="biblio_widget" class="biblio__BiblioWrapper-sc-1nou1lz-1 hFGNjP"></div> </div> </div> </div> <div class="threeColumn__RightWrapper-sc-1bf4078-2 jzTMLK rightWrapper" id="rightSectionMenu"> <div> <div class="journal_article__ArticleStickyTopToolbar-sc-12fk6zy-0 gbrQxi article_sticky_top_toolbar"> <div class="sc-cBdUnI hRnXob article_top_toolbar"> <a 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height="24"><span class="text">引用</年代p一个n></span><span class="sc-htoDjs bqeMOy sc-dqBHgY cQgXqt fileArrow icon-colored _3P4iUn1NDM5G77nWCamJ4l icon-themeable" title="" font-size="20"></span></a> </div> </div> <div class="journal_article__ArticleStickyBottomToolbar-sc-12fk6zy-1 isgRZA article_sticky_bottom_toolbar"> <div class="sc-cTjmhe ihmyEq article_bottom_toolbar"> <div class="sc-cugefK itFKcQ accordion" property="background-color" color="#D8D8D8" id="toolbar__dofNav"> <span><img alt="" class="sc-EHOje jOLhQl sc-bfYoXt cGuwDn" title="" role="presentation" 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height="24"><span class="sc-dRFtgE jrsDZP">下载其他格式</年代p一个n><span class="sc-gkFcWv gWTCXQ">更多的</年代p一个n></span> <span class="sc-htoDjs bMdQcY sc-gbOuXE jGPvPL icon-colored _1CwL9R82TPl2HxDleeYGDR icon-themeable" title="" font-size="11"></span> </div> <div class="sc-fnwBNb etzuBr"> <a class="sc-htpNat bUhGXt link sc-iNhVCk gWgCNb open_panel" href="//www.newsama.com/downloads/journals/afs/2012/206121.epub" aria-label="ePub" property="background-color" color="#D8D8D8"> <div class="sc-eAKXzc WHkfb"> ePub</d我v><img alt="" class="sc-EHOje jOLhQl sc-bfYoXt cGuwDn" title="" role="presentation" 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height="24"><span class="sc-dRFtgE jrsDZP">订单打印副本</年代p一个n><span class="sc-gkFcWv gWTCXQ">订单</年代p一个n></span><span class="sc-htoDjs kNoiZu sc-gbOuXE jGPvPL right__icon icon-colored _32KP5uexH-Bgs7Kj8Gk1Tz icon-themeable" title="" font-size="16"></span></a> <div class="sc-hBbWxd kdRRST"> <div class="sc-dyGzUR cHatnS"> <div> 的观点<年代p一个n>1768年</年代p一个n> </div> <div> 下载<年代p一个n>1049年</年代p一个n> </div> </div> <div> <div class="sc-drKuOJ kxdGAZ"> <span class="__dimensions_badge_embed__" data-doi="10.1155/2012/206121" data-style="small_circle"></span>引用</d我v> </div> </div> <nav class="sc-bRBYWo fXBKFa sc-hUfwpO jHPgUP" id="toolbar__iconNav"> <h3 class="sc-Rmtcm hNPrIr">分享文章</gydF4y2Bah3> <ul class="sc-hzDkRC bnbfTS"> <li class="iconBorder"><a class="sc-htpNat bUhGXt link" href="https://twitter.com/share?url=https://doi.org/10.1155/2012/206121&via=Hindawi" aria-label="Sharing on Twitter" rel="noopener noreferrer" target="_blank"><img alt="" class="sc-EHOje jOLhQl socialTwitter" title="" 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