-nearest neighbor algorithm. Application of genetic algorithm for solving constrained problems faces the problem of constant support of chromosomes which reduces convergence process. Therefore, for acceleration of convergence of genetic algorithm, a penalty function that prevents occurrence of infeasible chromosomes at ranging of values of function of fitness is used. After classification, knowledge extraction is applied in order to get information about classes. Multidocument summarization method is used to get the information portrait of each cluster of spam messages. Classifying and parametrizing spam templates, it will be also possible to define the thematic dependence from geographical dependence (e.g., what subjects prevail in spam messages sent from certain countries). Thus, the offered system will be capable to reveal purposeful information attacks if those occur. Analyzing origins of the spam messages from collection, it is possible to define and solve the organized social networks of spammers.">
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.expand_btn{-webkit-flex:1;-ms-flex:1;flex:1;background:url('data:image/svg+xml;base64,PD94bWwgdmVyc2lvbj0iMS4wIiBlbmNvZGluZz0iVVRGLTgiPz4KPHN2ZyB3aWR0aD0iMTZweCIgaGVpZ2h0PSIxNnB4IiB2aWV3Qm94PSIwIDAgMTYgMTYiIHZlcnNpb249IjEuMSIgeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzIwMDAvc3ZnIiB4bWxuczp4bGluaz0iaHR0cDovL3d3dy53My5vcmcvMTk5OS94bGluayI+CiAgICA8IS0tIEdlbmVyYXRvcjogU2tldGNoIDUzLjIgKDcyNjQzKSAtIGh0dHBzOi8vc2tldGNoYXBwLmNvbSAtLT4KICAgIDx0aXRsZT5JY29ucy9DbG9zZSBNZW51IC08L3RpdGxlPgogICAgPGRlc2M+Q3JlYXRlZCB3aXRoIFNrZXRjaC48L2Rlc2M+CiAgICA8ZGVmcz4KICAgICAgICA8cGF0aCBkPSJNMTMsMTEgTDE5LDExIEMxOS41NTIyODQ3LDExIDIwLDExLjQ0NzcxNTMgMjAsMTIgQzIwLDEyLjU1MjI4NDcgMTkuNTUyMjg0NywxMyAxOSwxMyBMMTMsMTMgTDEzLDE5IEMxMywxOS41NTIyODQ3IDEyLjU1MjI4NDcsMjAgMTIsMjAgQzExLjQ0NzcxNTMsMjAgMTEsMTkuNTUyMjg0NyAxMSwxOSBMMTEsMTMgTDUsMTMgQzQuNDQ3NzE1MjUsMTMgNCwxMi41NTIyODQ3IDQsMTIgQzQsMTEuNDQ3NzE1MyA0LjQ0NzcxNTI1LDExIDUsMTEgTDExLDExIEwxMSw1IEMxMSw0LjQ0NzcxNTI1IDExLjQ0NzcxNTMsNCAxMiw0IEMxMi41NTIyODQ3LDQgMTMsNC40NDc3MTUyNSAxMyw1IEwxMywxMSBaIiBpZD0icGF0aC0xIj48L3BhdGg+CiAgICA8L2RlZnM+CiAgICA8ZyBpZD0iUGFnZS0xIiBzdHJva2U9Im5vbmUiIHN0cm9rZS13aWR0aD0iMSIgZmlsbD0ibm9uZSIgZmlsbC1ydWxlPSJldmVub2RkIj4KICAgICAgICA8ZyBpZD0iQXJ0aWNsZS0tLU1vYmlsZS0tLWZpZ3VyZSIgdHJhbnNmb3JtPSJ0cmFuc2xhdGUoLTIwLjAwMDAwMCwgLTg2MS4wMDAwMDApIj4KICAgICAgICAgICAgPGcgaWQ9Ikdyb3VwLTkiIHRyYW5zZm9ybT0idHJhbnNsYXRlKDAuMDAwMDAwLCAzMzAuMDAwMDAwKSI+CiAgICAgICAgICAgICAgICA8ZyBpZD0iR3JvdXAtOCIgdHJhbnNmb3JtPSJ0cmFuc2xhdGUoMC4wMDAwMDAsIDUwNi4wMDAwMDApIj4KICAgICAgICAgICAgICAgICAgICA8ZyBpZD0iR3JvdXAtNyIgdHJhbnNmb3JtPSJ0cmFuc2xhdGUoMC4wMDAwMDAsIDE2LjAwMDAwMCkiPgogICAgICAgICAgICAgICAgICAgICAgICA8ZyBpZD0iSWNvbnMvT3Blbi1NZW51LSsiIHRyYW5zZm9ybT0idHJhbnNsYXRlKDEzLjAwMDAwMCwgMi4wMDAwMDApIj4KICAgICAgICAgICAgICAgICAgICAgICAgICAgIDxnIGlkPSJwbHVzIiB0cmFuc2Zvcm09InRyYW5zbGF0ZSgzLjAwMDAwMCwgMy4wMDAwMDApIj4KICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICA8bWFzayBpZD0ibWFzay0yIiBmaWxsPSJ3aGl0ZSI+CiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIDx1c2UgeGxpbms6aHJlZj0iI3BhdGgtMSI+PC91c2U+CiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgPC9tYXNrPgogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIDx1c2UgaWQ9IkNvbWJpbmVkLVNoYXBlIiBmaWxsPSIjMDAwMDAwIiBmaWxsLXJ1bGU9Im5vbnplcm8iIHhsaW5rOmhyZWY9IiNwYXRoLTEiPjwvdXNlPgogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIDxnIGlkPSJDT0xPUi8tUHJpbWFyeS1HcmVlbiIgbWFzaz0idXJsKCNtYXNrLTIpIiBmaWxsPSIjNkJBNDM5IiBmaWxsLXJ1bGU9ImV2ZW5vZGQiPgogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICA8cmVjdCBpZD0iUmVjdGFuZ2xlIiB4PSIwIiB5PSIwIiB3aWR0aD0iMjQiIGhlaWdodD0iMjQiPjwvcmVjdD4KICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICA8L2c+CiAgICAgICAgICAgICAgICAgICAgICAgICAgICA8L2c+CiAgICAgICAgICAgICAgICAgICAgICAgIDwvZz4KICAgICAgICAgICAgICAgICAgICA8L2c+CiAgICAgICAgICAgICAgICA8L2c+CiAgICAgICAgICAgIDwvZz4KICAgICAgICA8L2c+CiAgICA8L2c+Cjwvc3ZnPg==') no-repeat 6px;background-position:center;margin-top:10px;min-width:55px;display:none;} @media (min-width:768px){.hMPMVR .floats-partial-section .floats-partial-footer .floats-partial-caption .expand_btn{display:none;}} .hMPMVR .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){.hMPMVR .floats-partial-section .floats-partial-footer .floats-partial-caption .caption-text{padding:19px 18px 10px 18px;}} @media (min-width:992px){.hMPMVR .floats-partial-section .floats-partial-footer .floats-partial-caption .caption-text{padding:19px 21px 10px 21px;}} .hMPMVR .floats-partial-section .floats-partial-footer .floats-partial-caption .caption-partial-url{-webkit-flex:1;-ms-flex:1;flex:1;background:url('data:image/svg+xml;base64,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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){.hMPMVR .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){.hMPMVR .floats-partial-section .floats-partial-footer .floats-partial-caption .caption-partial-url{padding:15px 0 17px 0;min-width:60px;max-width:60px;}} .hMPMVR .floats-partial-section .floats-partial-footer .floats-partial-caption .caption-partial-url:hover{-webkit-text-decoration:none;text-decoration:none;} .hMPMVR .floats-partial-section .floats-partial-footer .floats-partial-caption-text{font-size:14px;padding:0px 18px 17px 22px;} @media (min-width:768px){.hMPMVR .floats-partial-section .floats-partial-footer .floats-partial-caption-text{padding:0px 15px 15px 18px;}} @media (min-width:992px){.hMPMVR .floats-partial-section .floats-partial-footer .floats-partial-caption-text{padding:0px 18px 19px 21px;}} .hMPMVR .floats-partial-section .floats-partial-footer .floats-partial-caption-text figcaption{margin:0;padding:0;} .hMPMVR .floats-partial-section .floats-partial-footer .floats-partial-caption-text svg{max-width:100%;} .hMPMVR ol{font-size:16px;padding-left:32px;font-family:STIXGeneral-Regular;line-height:24px;margin:15px 0;} .hMPMVR ol li{margin:10px 0;padding-left:10px;word-break:normal;} .hMPMVR ol li a{word-break:break-all;} .hMPMVR ol li .reflinks{display:block;} .hMPMVR ol li .reflinks a{color:#4D8A17;-webkit-text-decoration:none;text-decoration:none;cursor:pointer;} .hMPMVR ol li .reflinks a:hover{-webkit-text-decoration:underline;text-decoration:underline;} .hMPMVR ol li .reflinks .sep{color:#000000;} .hMPMVR .table-wrapper{width:auto;overflow-x:auto;} .hMPMVR .table-wrapper::-webkit-scrollbar{-webkit-appearance:none;width:5px;height:5px;} .hMPMVR .table-wrapper::-webkit-scrollbar-thumb{border-radius:5px;background-color:rgba(0,0,0,.5);-webkit-box-shadow:0 0 1px rgba(255,255,255,.5);} @media (min-width:768px){.hMPMVR .table-wrapper{overflow-x:auto;width:auto;-webkit-break-word:word-break;break-word:word-break;margin:0 auto;}} @media (min-width:992px){.hMPMVR .table-wrapper{width:auto;}} @media (min-width:1324px){.hMPMVR .table-wrapper{width:auto;}} @media (min-width:320px){.hMPMVR{margin-bottom:33px;padding:0;}} @media (min-width:992px){.hMPMVR{padding:0;margin-bottom:100px;}} @media (min-width:1325px){.hMPMVR{margin-bottom:100px;}} .hMPMVR .owl-stage{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;} .hMPMVR .floats-partial-middle--thumbs{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;} .hMPMVR .floats-partial-middle--thumbs .partial-carousel-dot svg{fill:#4D8A17;} .hMPMVR .floats-partial-middle--thumbs .partial-carousel-dot strong{color:#4D8A17;font-weight:500;} .hMPMVR .floats-partial-middle--thumbs .partial-carousel-dot.active strong{color:#007B8B;} .hMPMVR 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<p>在这一页上</p><年代p一个ncl一个年代年代="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></年代p一个n><年代pan 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></年代p一个n><年代pan class="sc-likbZx bBmZJZ grey" property="background-color" color="#D8D8D8"><a class="sc-htpNat bUhGXt link sc-ePZHVD ewHMLz" href="#related-works" aria-label="">相关的工作</一个></年代p一个n><年代pan class="sc-likbZx bBmZJZ grey" property="background-color" color="#D8D8D8"><a class="sc-htpNat bUhGXt link sc-ePZHVD ewHMLz" href="#conclusion-and-future-work" aria-label="">结论</一个></年代p一个n><年代pan 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></年代p一个n><年代pan 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></年代p一个n></div>
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<p class="sc-kZmsYB bkiEfx article_type">研究文章|<gydF4y2Ba!-- -->开放获取</p><gydF4y2Badiv class="sc-RcBXQ ztvYg article_citation">
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<p>Rasim m . Alguliev拉米兹m . Aliguliyev Saadat Nazirova<gydF4y2Ba!-- -->,<gydF4y2Ba!-- -->
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<h1 class="sc-iRbamj jZOxOO sc-iSDuPN hHHqqR article_title adjust-article-svg-size heading-title">使用数据挖掘技术文本分类垃圾邮件</h1></gydF4y2Badiv>
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<span class="">Rasim m . Alguliev<gydF4y2Ba!-- -->,<年代up>1</gydF4y2Ba年代up></年代p一个n><年代pan class="">拉米兹m . Aliguliyev<gydF4y2Ba!-- -->,<年代up>1</gydF4y2Ba年代up><!-- -->和</年代p一个n><年代p一个ncl一个年代s=""><b>Saadat a Nazirova</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><sup>1</年代up></年代p一个n><div class="sc-fHxwqH dMuGGA isHide">
<p><sup>1</年代up><年代p一个n>信息技术学院的阿塞拜疆国家科学院9 F。Agayev街,1141年,阿塞拜疆</年代p一个n></p></div>
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<b>学术编辑器:</gydF4y2Bab>塞巴斯蒂安·文图拉</gydF4y2Badiv>
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<h4 class="header" id="abstract">文摘</h4><p>gydF4y2Ba一种新的聚类方法收集的垃圾短信在基地的反垃圾邮件系统。遗传算法开发为解决聚类问题。目标函数最大化消息集群之间的相似性,所定义的<年代vghe我ght=”10。7375" id="M1" style="vertical-align:-0.13794pt;width:8.6000004px;" version="1.1" viewbox="0 0 8.6000004 10.7375" width="8.6000004" xmlns="http://www.w3.org/2000/svg">
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</t年代p一个n></text>
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</svg>最近邻居算法。应用遗传算法求解约束问题面临的问题不断支持的染色体从而减少收敛过程。因此,对于加速遗传算法的收敛性,防止发生不可行染色体的罚函数等函数的值使用健身。分类后,知识提取应用为了得到信息类。Multidocument总结方法用于获取垃圾短信的信息每个集群的画像。分类和由于垃圾邮件模板,也可以定义主题依赖从地理依赖(例如,什么科目在垃圾短信发送来自某些国家)。因此,提供系统将能够揭示有目的的信息如果这些发生的攻击。分析收集的垃圾短信的起源,可以定义和解决的有组织的社会网络垃圾信息散布者。</p><年代p一个ncl一个年代年代="end-abs"></span>
<h4 id="introduction">1。介绍</h4><p>gydF4y2Ba电子邮件是一种有效、快速和廉价的通信方式。因此,垃圾邮件发送者更喜欢通过这种沟通发送垃圾邮件。现在几乎每一个第二个用户都有一个电子邮件,因此他们面临着垃圾邮件问题。垃圾邮件是nonrequested信息发送到电子邮件箱。垃圾邮件是一个大问题对于用户和互联网服务提供商。电子通讯的原因是增长的价值一方面和另一方面提高垃圾邮件发送技术。赛门铁克的垃圾邮件报告,2010年全年平均全球垃圾邮件率为89.1%,与2009年相比增长了1.4%。垃圾邮件的比例从2010年的僵尸网络要高得多,占大约88.2%的垃圾邮件。尽管许多试图阻止僵尸网络活动在2010年,由今年年底的总数活跃机器人回到大致相同的数量在2009年底,全世界大约有五百万垃圾邮件发送的僵尸网络使用(<一个href=”#B1">1</一个>]。</p><p>gydF4y2Ba垃圾短信导致产量低;在邮箱占用空间;延长病毒、特洛伊木马和材料含有潜在有害信息对某些类别的用户;破坏稳定的邮件服务器,因此用户花费了大量的时间进行排序的邮件和删除不良对应。从摩天的研究报告显示,全球垃圾邮件花了约1300亿美元的损失,2009年和420亿年在美国,(<一个href=”#B2">2</一个>]。除了收购费用、安装和服务的防护手段,用户不得不支付额外费用的过载与交通,失败的服务器,和生产力损失。我们可以做这样的结论:垃圾邮件不仅是一个刺激因素,而且直接威胁到业务。考虑到惊人数量的垃圾短信来电子邮件箱,可以假定垃圾邮件发送者不单独操作;它是全球性的,组织,创建虚拟社交网络。他们攻击邮件的用户,整个公司,甚至国家。</p><p>gydF4y2Ba每天电子邮件用户收到数以百计的垃圾短信的新内容,新地址由机器人自动生成软件。与传统方法黑白名单过滤垃圾邮件(域,IP地址,邮件地址)几乎是不可能的。应用文本挖掘方法,电子邮件可以提高垃圾邮件过滤的效率。分类垃圾短信也有可能建立主题依赖从地理(例如,对象在某些国家的垃圾短信发送)。文本聚类和分类的方法从近十年来被成功地应用于垃圾邮件问题。电子邮件到合法和垃圾邮件的过滤聚类分析的帮助下在报纸上被认为是(<一个href=”#B3">3</一个>- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -<gydF4y2Ba一个href=”#B9">9</一个>]。</p><p>gydF4y2Ba本文着重于文本分类垃圾电子邮件使用数据挖掘技术。我们的目的是不仅过滤消息为垃圾邮件和垃圾邮件,但还是把垃圾短信分成主题类似的组织和分析他们,为了定义垃圾邮件发送者的社交网络(<一个href=”#B10">10</一个>]。</p><p>gydF4y2Ba剩下的纸是组织如下。部分<一个href=”#sec2">2</一个>提出了相关的工作。部分<一个href=”#sec3">3</一个>描述了垃圾短信的表示在数据库中分析并定义了垃圾短信之间的相似性度量。该聚类方法提出了部分<一个href=”#sec4">4</一个>。的遗传算法解决聚类问题提供部分<一个href=”#sec5">5</一个>。分类收集垃圾短信的使用<年代vghe我ght=”10。7375" id="M2" style="vertical-align:-0.13794pt;width:31.1625px;" version="1.1" viewbox="0 0 31.1625 10.7375" width="31.1625" xmlns="http://www.w3.org/2000/svg">
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</svg>节中描述的方法<一个href=”#sec6">6</一个>。接收信息集群,文档摘要方法应用于部分<一个href=”#sec7">7</一个>。结论和未来的工作<一个href=”#sec8">8</一个>。</p><h4gydF4y2Baid="related-works">2。相关的工作</h4><p>gydF4y2Ba垃圾短信是信息战争的武器之一。自2003年以来,科学文献概念垃圾邮件和战争出现在一个上下文(<一个href=”#B11">11</一个>,<gydF4y2Ba一个href=”#B12">12</一个>]。但是问题垃圾邮件发送者的社交网络被认为是在文章开始于2009年。在[<一个href=”#B13">13</一个>),垃圾邮件发送者考虑它们的集群组织提供。在[<一个href=”#B14">14</一个>,<gydF4y2Ba一个href=”#B15">15</一个>],谱聚类方法应用于项目蜜罐收集的垃圾短信的集合定义和跟踪的社交网络垃圾信息散布者。他们代表一个社交网络的垃圾邮件发送者一个图表,点头的对应于垃圾邮件发送者,两个路口之间的角落图作为垃圾邮件发送者之间的社会关系。</p><p>gydF4y2Ba摘要文档聚类方法应用于聚类分析垃圾短信。在我们的例子中,文本文档文本电子邮件。尽管有许多的方法来表示文本文件,其中最普遍的是向量模型。文本的向量模型表示已在沙顿的作品<一个href=”#B16">16</一个>,<gydF4y2Ba一个href=”#B17">17</一个>]。在基本情况下,矢量模型假定比较每个文档的频谱相应的单词和词汇空间向量。在更高级的向量模型、空间的维数降低排斥反应最普遍的或很少的单词,从而增加的百分比基本词汇的重要性。矢量模型的主要优势是范围的文件根据相似的可能性在向量空间<一个href=”#B18">18</一个>]。</p><p>gydF4y2Ba聚类是数据挖掘中最有用的方法之一自然组检测数据集。传统算法,聚类问题的解决方案等<年代vghe我ght=”10。7375" id="M3" style="vertical-align:-0.13794pt;width:8.6000004px;" version="1.1" viewbox="0 0 8.6000004 10.7375" width="8.6000004" xmlns="http://www.w3.org/2000/svg">
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</svg>则算法(<一个href=”#B19">19</一个>,<gydF4y2Ba一个href=”#B20">20.</一个>],层次聚类,微分评估算法,粒子群优化算法,人工蜂群优化蚁群算法和神经网络算法宝石(高斯采用),通常是使用[<一个href=”#B25">21</一个>- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -<gydF4y2Ba一个href=”#B30">26</一个>]。进化算法聚类的最新调查,尤其是分区算法,详细描述(<一个href=”#B31">27</一个>]。的比较高级的主题多目标和ensemble-based进化聚类;和重叠集群软,模糊聚类也是论文中提到的。每个调查的算法描述对固定或可变数量的集群;cluster-oriented或nonoriented运营商;上下文敏感的或上下文敏感的运营商;指导或不能控制的运营商;二进制、整数或真正的编码;,medoid-based centroid-based基于标签、树或图论表示。</p><p>垃圾短信的集群意味着自动分组主题关闭垃圾短信。信息流是电子邮件,这个问题变得复杂的必要性进行这个过程实时模式。有一些并发症与多元化的选择算法聚类的垃圾短信。不同的方法使用不同的电子文档的相似度算法相当数量的迹象。类是由聚类方法,有他们的支持为垃圾邮件的必要性也在不断变化,和垃圾短信收集补充。在考虑工作,新的算法定义判别函数的垃圾短信提供聚类问题。本身是解决聚类问题的遗传算法(<一个href=”#B32">28</一个>]。遗传算法是许多科学著作的主题。例如,在[<一个href=”#B33">29日</一个>)遗传算法用于聚类的调查乐团,基因型,健身功能和遗传操作和得出结论,提出了使用遗传算法聚类整体提高了聚类精度。</p><p>gydF4y2Ba在这个工作中,对垃圾短信的分类<年代vghe我ght=”10。7375" id="M4" style="vertical-align:-0.13794pt;width:8.6000004px;" version="1.1" viewbox="0 0 8.6000004 10.7375" width="8.6000004" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.7375)">
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</svg>最近邻居法,测定受试者的垃圾短信,集群将被应用到multidocument总结方法提供的论文(<一个href=”#B34">30.</一个>- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -<gydF4y2Ba一个href=”#B36">32</一个>]。</p><h4gydF4y2Baid="problem-statement">3所示。问题陈述</h4><p>gydF4y2Ba假设有一组收集的垃圾短信服务器上的分层的垃圾邮件过滤系统,描述在文献[<一个href=”#B37">33</一个>]。在应用这些垃圾短信的聚类方法聚类分析,每个人都应该指定输入数据。有一些方法信息表示在数据库维护的后续分析这些信息。我们将考虑的最流行的方法来表示文本信息动态到达数据库的信息系统。让我们考虑集合向量空间的垃圾短信。假设<年代vghe我ght=”14。75” id="M5" style="vertical-align:-3.20526pt;width:101.8375px;" version="1.1" viewbox="0 0 101.8375 14.75" width="101.8375" xmlns="http://www.w3.org/2000/svg">
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</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="11.590281" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="23.630671" y="0">
{</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="29.632111" y="0">
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</svg>是一个收集的垃圾短信,<年代vghe我ght=”14。75” id="M6" style="vertical-align:-3.20526pt;width:98.637497px;" version="1.1" viewbox="0 0 98.637497 14.75" width="98.637497" 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,-71.95,63.45)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="10.339981" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="22.380369" y="0">
{</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="28.381809" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,-39.65,60.32)">
<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,-34.77,63.45)">
<tspan style="font-size: 12.50px; " x="0" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="5.2012482" y="0">
…</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="19.79225" y="0">
,</t年代p一个n><t年代p一个n 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,-5.85,60.32)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,0.86,63.45)">
<tspan style="font-size: 12.50px; " x="0" y="0">
}</t年代p一个n></text>
</g>
</g>
</svg>垃圾邮件是一组术语(关键词)垃圾短信收藏。在向量模型中,任何消息都可以表示为一个点<年代vghe我ght=”7。1374998" id="M7" style="vertical-align:-0.10033pt;width:11.225px;" version="1.1" viewbox="0 0 11.225 7.1374998" width="11.225" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,7.1375)">
<g transform="translate(72,-66.29)">
<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>维空间,<年代vghe我ght=”7。1374998" id="M8" style="vertical-align:-0.10033pt;width:11.225px;" version="1.1" viewbox="0 0 11.225 7.1374998" width="11.225" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,7.1375)">
<g transform="translate(72,-66.29)">
<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>的数量条款。每个垃圾邮件消息,确定权重向量:<年代p一个ncl一个年代年代=”equation" id="EEq1">
<svg height="19.35" id="M9" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 19.35" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,19.35)">
<g transform="translate(72,-56.52)">
<text transform="matrix(1,0,0,-1,158.16,61.13)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,163.66,58.01)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,170.35,61.13)">
<tspan style="font-size: 12.50px; " x="0" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="12.04" y="2.51">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="16.83" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,196.87,58.01)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="2.7218721" y="0">
1</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,204.46,61.13)">
<tspan style="font-size: 12.50px; " x="0" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="5.2137508" y="0">
…</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="19.79225" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="25.006001" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,239.16,58.01)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="2.7218721" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,248.6,58.62)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="6.8699999" y="-2.51">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="225.52" y="-2.51">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="229.6835" y="-2.51">
1</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="235.935" y="-2.51">
)</t年代p一个n></text>
</g>
</g>
</svg></span>在哪里<年代vghe我ght=”13。2625” id="M10" style="vertical-align:-4.77652pt;width:21.174999px;" version="1.1" viewbox="0 0 21.174999 13.2625" width="21.174999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,13.2625)">
<g transform="translate(72,-61.39)">
<text transform="matrix(1,0,0,-1,-71.95,66.2)">
<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,-62.26,63.07)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="2.7218721" y="0">
</t年代p一个n></text>
</g>
</g>
</svg>是词的重量<年代vghe我ght=”14。9375” id="M11" style="vertical-align:-4.77652pt;width:10.55px;" version="1.1" viewbox="0 0 10.55 14.9375" width="10.55" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.9375)">
<g transform="translate(72,-60.05)">
<text transform="matrix(1,0,0,-1,-71.95,64.86)">
<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,-68.04,61.74)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
</g>
</g>
</svg>在垃圾邮件消息<年代vghe我ght=”9。9250002" id="M12" style="vertical-align:-0.13794pt;width:4.9875002px;" version="1.1" viewbox="0 0 4.9875002 9.9250002" width="4.9875002" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,9.925)">
<g transform="translate(72,-64.06)">
<text transform="matrix(1,0,0,-1,-71.95,64.25)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n></text>
</g>
</g>
</svg>,<年代vghe我ght=”12。8875" id="M13" style="vertical-align:-1.76814pt;width:71.212502px;" version="1.1" viewbox="0 0 71.212502 12.8875" width="71.212502" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,12.8875)">
<g transform="translate(72,-61.69)">
<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><t年代p一个n style="font-size: 12.50px; " x="7.3517642" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="19.392153" y="0">
1</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="25.643654" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="30.857405" y="0">
…</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="45.435902" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="50.649654" y="0">
</t年代p一个n></text>
</g>
</g>
</svg>,<年代vghe我ght=”13。6125” id="M14" style="vertical-align:-2.34499pt;width:75.762497px;" version="1.1" viewbox="0 0 75.762497 13.6125" width="75.762497" 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><t年代p一个n style="font-size: 12.50px; " x="8.3269978" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="20.367388" y="0">
1</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="26.618887" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="31.832638" y="0">
…</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="46.411137" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="51.624886" y="0">
</t年代p一个n></text>
</g>
</g>
</svg>,<年代vghe我ght=”7。1374998" id="M15" style="vertical-align:-0.10033pt;width:7.8874998px;" version="1.1" viewbox="0 0 7.8874998 7.1374998" width="7.8874998" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,7.1375)">
<g transform="translate(72,-66.29)">
<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>在收集垃圾短信的数量。有不同的方法来计算权重的术语(<一个href=”#B38">34</一个>]。让我们考虑一下最受欢迎的特遣部队<年代vghe我ght=”7。4875002" id="M16" style="vertical-align:-0.0pt;width:8.3000002px;" version="1.1" viewbox="0 0 8.3000002 7.4875002" width="8.3000002" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,7.4875)">
<g transform="translate(72,-66.01)">
<text transform="matrix(1,0,0,-1,-71.95,66.06)">
<tspan style="font-size: 12.50px; " x="0" y="0">
∗</t年代p一个n></text>
</g>
</g>
</svg>IDF权重(术语frequency-inverse文档频率)方法测定项的重量<年代vghe我ght=”13。2625” id="M17" style="vertical-align:-4.77652pt;width:21.174999px;" version="1.1" viewbox="0 0 21.174999 13.2625" width="21.174999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,13.2625)">
<g transform="translate(72,-61.39)">
<text transform="matrix(1,0,0,-1,-71.95,66.2)">
<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,-62.26,63.07)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="2.7218721" y="0">
</t年代p一个n></text>
</g>
</g>
</svg>。该方法认为一个词的出现频率在所有消息的示例和辨别能力。由特遣部队<年代vghe我ght=”7。4875002" id="M18" style="vertical-align:-0.0pt;width:8.3000002px;" version="1.1" viewbox="0 0 8.3000002 7.4875002" width="8.3000002" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,7.4875)">
<g transform="translate(72,-66.01)">
<text transform="matrix(1,0,0,-1,-71.95,66.06)">
<tspan style="font-size: 12.50px; " x="0" y="0">
∗</t年代p一个n></text>
</g>
</g>
</svg>IDF权重方案一词的重量<年代vghe我ght=”14。9375” id="M19" style="vertical-align:-4.77652pt;width:10.55px;" version="1.1" viewbox="0 0 10.55 14.9375" width="10.55" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.9375)">
<g transform="translate(72,-60.05)">
<text transform="matrix(1,0,0,-1,-71.95,64.86)">
<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,-68.04,61.74)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
</g>
</g>
</svg>在消息<年代vghe我ght=”11。05” id="M20" style="vertical-align:-3.2316pt;width:11.025px;" version="1.1" viewbox="0 0 11.025 11.05" width="11.025" 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,-66.45,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
</g>
</g>
</svg>是由以下公式计算:<年代p一个ncl一个年代年代=”equation" id="EEq2">
<svg height="40.150002" id="M21" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 40.150002" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,40.15)">
<g transform="translate(72,-39.88)">
<text transform="matrix(1,0,0,-1,155.9,53.45)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,165.59,50.32)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="2.7218721" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,176.22,53.45)">
<tspan style="font-size: 12.50px; " x="0" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="12.027886" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,194.47,50.32)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="2.7218721" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,203.7,53.45)">
<tspan style="font-size: 12.50px; " x="20.15" y="7.3299999">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="32.939999" y="-7.25">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="0" y="0">
l</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="3.4758339" y="0">
o</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="9.727334" y="0">
g</t年代p一个n></text>
<g>
<path d="m 234.42,56.57 10.64,0" 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,-1,234.42,44.69)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,240.64,41.57)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,246.26,46.12)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="11.46" y="-7.3299999">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="227.86" y="-7.3299999">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="232.0235" y="-7.3299999">
2</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="238.27499" y="-7.3299999">
)</t年代p一个n></text>
</g>
</g>
</svg></span>在哪里<年代vghe我ght=”12。975" id="M22" style="vertical-align:-4.77652pt;width:16.825001px;" version="1.1" viewbox="0 0 16.825001 12.975" width="16.825001" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,12.975)">
<g transform="translate(72,-61.62)">
<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,-65.74,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="2.7218721" y="0">
</t年代p一个n></text>
</g>
</g>
</svg>是词的出现频率<年代vghe我ght=”14。9375” id="M23" style="vertical-align:-4.77652pt;width:10.55px;" version="1.1" viewbox="0 0 10.55 14.9375" width="10.55" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.9375)">
<g transform="translate(72,-60.05)">
<text transform="matrix(1,0,0,-1,-71.95,64.86)">
<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,-68.04,61.74)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
</g>
</g>
</svg>在垃圾邮件消息<年代vghe我ght=”11。05” id="M24" style="vertical-align:-3.2316pt;width:11.025px;" version="1.1" viewbox="0 0 11.025 11.05" width="11.025" 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,-66.45,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
</g>
</g>
</svg>和<年代vghe我ght=”12。975" id="M25" style="vertical-align:-4.77652pt;width:13.425px;" version="1.1" viewbox="0 0 13.425 12.975" width="13.425" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,12.975)">
<g transform="translate(72,-61.62)">
<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,-65.74,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
</g>
</g>
</svg>包含这个词是垃圾短信的数量吗<年代vghe我ght=”14。9375” id="M26" style="vertical-align:-4.77652pt;width:10.55px;" version="1.1" viewbox="0 0 10.55 14.9375" width="10.55" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.9375)">
<g transform="translate(72,-60.05)">
<text transform="matrix(1,0,0,-1,-71.95,64.86)">
<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,-68.04,61.74)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
</g>
</g>
</svg>。</p><p>gydF4y2Ba后的垃圾短信,应该定义它们之间的相似性度量。相似性度量可以被定义为一个指标:余弦度量,欧式距离,Jaccard措施。在本文中,垃圾短信之间的相似性度量<年代vghe我ght=”11。05” id="M27" style="vertical-align:-3.2316pt;width:11.025px;" version="1.1" viewbox="0 0 11.025 11.05" width="11.025" 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,-66.45,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
</g>
</g>
</svg>和<年代vghe我ght=”12。975" id="M28" style="vertical-align:-4.77652pt;width:12.5375px;" version="1.1" viewbox="0 0 12.5375 12.975" width="12.5375" xmlns="http://www.w3.org/2000/svg">
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</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,-66.45,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
</g>
</g>
</svg>将由余弦度量定义。余弦度量定义了相似度的计算向量之间的夹角的余弦<年代vghe我ght=”11。05” id="M29" style="vertical-align:-3.2316pt;width:11.025px;" version="1.1" viewbox="0 0 11.025 11.05" width="11.025" 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,-66.45,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
</g>
</g>
</svg>和<年代vghe我ght=”12。975" id="M30" style="vertical-align:-4.77652pt;width:12.5375px;" version="1.1" viewbox="0 0 12.5375 12.975" width="12.5375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,12.975)">
<g transform="translate(72,-61.62)">
<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,-66.45,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
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</g>
</svg>(<一个href=”#B35">31日</一个>]:<年代p一个ncl一个年代年代=”equation" id="EEq3">
<svg height="55.8125" id="M31" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 55.8125" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,55.8125)">
<g transform="translate(72,-27.35)">
<text transform="matrix(1,0,0,-1,74.4,51.08)">
<tspan style="font-size: 12.50px; " x="20.15" y="2.51">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="26" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="0" y="0">
年代</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="4.863667" y="0">
我</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="8.3395014" y="0">
米</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,105.9,47.96)">
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</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,109.12,51.08)">
<tspan style="font-size: 12.50px; " x="0" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="5.2012482" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,119.83,47.96)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,124.26,48.57)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="9.3299999" y="-2.51">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="47.32" y="-13.26">
∑</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,183,68.09)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="0" y="9.9300003">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="2.7831359" y="9.9300003">
=</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="8.7782564" y="9.9300003">
1</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,198.74,61.86)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,208.43,58.73)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="2.7218721" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,214.61,61.86)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,224.3,58.73)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="3.4045279" y="0">
</t年代p一个n></text>
<g>
<path d="m 146.82,54.21 109.09,0" 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,-1,146.82,31.09)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n></text>
<g>
<path d="m 160.03,50.08 95.88,0" 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,-1,160.03,35.93)">
<tspan style="font-size: 12.50px; " x="0" y="0">
∑</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,171.46,42.19)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="0" y="9.9399996">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="2.7831359" y="9.9399996">
=</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="8.7782564" y="9.9399996">
1</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,187.2,35.95)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,196.89,40.46)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="0" y="9.1499996">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="2.7218721" y="9.1499996">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,205.85,35.95)">
<tspan style="font-size: 12.50px; " x="0" y="0">
⋅</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="6.3499999" y="0.02">
∑</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,223.63,42.19)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="0" y="9.9399996">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="2.7831359" y="9.9399996">
=</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="8.7782564" y="9.9399996">
1</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,239.36,35.95)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,249.05,40.46)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="0" y="9.1499996">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="3.4045279" y="9.1499996">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,257.11,51.08)">
<tspan style="font-size: 12.50px; " x="0" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="15.166139" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="19.054571" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="24.268324" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="32.595322" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="44.635712" y="0">
1</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="50.887211" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="56.10096" y="0">
…</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="70.691963" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="75.893211" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="82.107201" y="0">
。</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="217.00999" y="0">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="221.17349" y="0">
3</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="227.425" y="0">
)</t年代p一个n></text>
</g>
</g>
</svg></span></p>
<p>考虑垃圾短信的向量模型和选择指标垃圾短信之间的相似性度量,提出的算法可以应用的内容分析。提供算法由以下步骤组成:<年代p一个ncl一个年代年代=”l我年代t”><span class="list-item"><span class="list-label"><i>
<svg height="13.45" id="M32" style="vertical-align:-2.21957pt;width:18.35px;" 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><t年代p一个n style="font-size: 12.50px; " x="4.1634989" y="0">
1</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="10.414999" y="0">
)</t年代p一个n></text>
</g>
</g>
</svg></i></span><span class="list-content">聚类方法,</年代p一个n></年代p一个n><span class="list-item"><span class="list-label"><i>
<svg height="13.45" id="M33" style="vertical-align:-2.21957pt;width:18.35px;" 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><t年代p一个n style="font-size: 12.50px; " x="4.1634989" y="0">
2</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="10.414999" y="0">
)</t年代p一个n></text>
</g>
</g>
</svg></i></span><span class="list-content">解决聚类问题的算法,</年代p一个n></年代p一个n><span class="list-item"><span class="list-label"><i>
<svg height="13.45" id="M34" style="vertical-align:-2.21957pt;width:18.35px;" 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><t年代p一个n style="font-size: 12.50px; " x="4.1634989" y="0">
3</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="10.414999" y="0">
)</t年代p一个n></text>
</g>
</g>
</svg></i></span><span class="list-content">分类收集垃圾短信,</年代p一个n></年代p一个n><span class="list-item"><span class="list-label"><i>
<svg height="13.45" id="M35" style="vertical-align:-2.21957pt;width:18.35px;" 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><t年代p一个n style="font-size: 12.50px; " x="4.1634989" y="0">
4</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="10.414999" y="0">
)</t年代p一个n></text>
</g>
</g>
</svg></i></span><span class="list-content">从类中提取知识。</年代p一个n></年代p一个n></span></p>
<p>下面给出每个步骤的详细描述。</p><h4gydF4y2Baid="clustering-method">4所示。聚类方法</h4><p>gydF4y2Ba数据聚类是将数据元素分成类或簇的过程,因此项目在同一类尽可能相似,而在不同的类是尽可能不同。根据数据的性质和使用集群的目的,不同的相似性措施可以用来将物品放入类,相似的测量控制集群是如何形成的。两种类型的集群定义:硬或模糊聚类。在模糊聚类(也称为软聚类),数据元素可以属于多个集群,并与每个元素相关联是一组会员的水平。在硬聚类、数据划分为不同的簇,每个数据元素属于一个集群(<一个href=”#B39">35</一个>]。</p><p>gydF4y2Ba聚类的目的是将一组<年代vghe我ght=”14。75” id="M36" style="vertical-align:-3.20526pt;width:104.175px;" version="1.1" viewbox="0 0 104.175 14.75" width="104.175" 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,-71.95,63.45)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="11.590281" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="23.630671" y="0">
{</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="29.632111" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,-36.81,60.32)">
<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,-31.94,63.45)">
<tspan style="font-size: 12.50px; " x="0" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="5.2137508" y="0">
…</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="19.79225" y="0">
,</t年代p一个n><t年代p一个n 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,-1.43,60.32)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,5.28,63.45)">
<tspan style="font-size: 12.50px; " x="0" y="0">
}</t年代p一个n></text>
</g>
</g>
</svg>为不重叠的集群<年代vghe我ght=”16。6625" id="M37" style="vertical-align:-4.74141pt;width:178.575px;" version="1.1" viewbox="0 0 178.575 16.6625" width="178.575" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,16.6625)">
<g transform="translate(72,-58.67)">
<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><t年代p一个n style="font-size: 12.50px; " x="11.852844" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="23.893232" y="0">
{</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="29.894672" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,-33.66,60.32)">
<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,-28.78,63.45)">
<tspan style="font-size: 12.50px; " x="0" y="0">
,</t年代p一个n><t年代p一个n 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,-15.19,60.32)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,-10.31,63.45)">
<tspan style="font-size: 12.50px; " x="0" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="5.2012482" y="0">
…</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="19.79225" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="24.993498" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,23.08,60.32)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,27.94,63.45)">
<tspan style="font-size: 12.50px; " x="0" y="0">
}</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="6.00144" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="15.37869" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="24.568396" y="0">
></t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="36.608784" y="0">
1</t年代p一个n></text>
</g>
</g>
</svg>的目的,维护一个集群的最大相似性信息对应于特定的语义对象,和集群的最大区别。也就是说,下列条件的艰苦集群应该发生<年代p一个ncl一个年代年代=”equation" id="EEq4">
<svg height="109" id="M38" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 109" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,109)">
<g transform="translate(72,15.2)">
<text transform="matrix(1,0,0,-1,146.68,63.2)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,155.07,60.07)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,161.93,63.2)">
<tspan style="font-size: 12.50px; " x="-52.869999" y="22.450001">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="0" y="0">
≠</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="10.640053" y="0">
∅</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="30.132231" y="0">
f</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="33.908134" y="0">
o</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="40.159637" y="0">
r</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="48.486633" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="58.063931" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="70.104324" y="0">
1</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="76.35582" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="81.569572" y="0">
…</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="96.148071" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="101.36182" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="107.0882" y="0">
,</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,117.44,37.63)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,125,40.75)">
<tspan style="font-size: 12.50px; " x="0" y="0">
∩</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="10.527526" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,143.92,37.63)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,152.26,40.75)">
<tspan style="font-size: 12.50px; " x="0" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="12.027886" y="0">
∅</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="31.520063" y="0">
f</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="35.295967" y="0">
o</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="41.54747" y="0">
r</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="49.861965" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="58.063931" y="0">
≠</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="68.716492" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="74.955482" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="84.332733" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="90.446701" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="95.647949" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="105.36278" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="117.40317" y="0">
1</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="123.65467" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="128.86842" y="0">
…</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="143.44691" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="148.66068" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="154.38704" y="0">
,</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,186.04,18.74)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,180.5,-3.77)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,181.08,-11.07)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="4.2797279" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="10.274848" y="0">
1</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,198.4,2.73)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,206.79,-0.4)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,215.04,2.73)">
<tspan style="font-size: 12.50px; " x="0" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="12.027886" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="20.154837" y="0">
。</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="259.07999" y="-22.540001">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="263.2435" y="-22.540001">
4</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="269.495" y="-22.540001">
)</t年代p一个n></text>
</g>
</g>
</svg></span></p>
<p>让我们介绍一下以下名称:<年代p一个ncl一个年代年代=”equation" id="EEq5">
<svg height="19.637501" id="M39" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 19.637501" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,19.6375)">
<g transform="translate(72,-56.29)">
<text transform="matrix(1,0,0,-1,94.08,61.1)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,103.23,57.98)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,107.98,57.98)">
<tspan style="font-size: 8.75px; " x="0" y="0">
N</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="6.318944" y="0">
N</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,123.2,58.59)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n><t年代p一个n 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,-1,134.55,57.98)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,137.77,58.59)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="9.3199997" y="-2.51">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="21.360001" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="28.549999" y="-2.51">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,171.82,57.98)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,179.72,61.1)">
<tspan style="font-size: 12.50px; " x="26.950001" y="2.51">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="32.799999" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="0" y="0">
∣</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="6.7891288" y="0">
年代</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="11.652796" y="0">
我</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="15.12863" y="0">
米</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,218.03,57.98)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,221.25,61.1)">
<tspan style="font-size: 12.50px; " x="0" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="5.2012482" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,231.96,57.98)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,236.38,58.59)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="41.52" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="47.369999" y="-2.51">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="9.3299999" y="-2.51">
≥</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="21.357885" y="-2.51">
年代</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="26.221554" y="-2.51">
我</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="29.697388" y="-2.51">
米</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,289.25,66.1)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="0" y="8.7799997">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,294.49,61.1)">
<tspan style="font-size: 12.50px; " x="0" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="5.2012482" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,305.2,57.98)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,309.63,58.59)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="5.8514042" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="164.49001" y="-2.51">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="168.6535" y="-2.51">
5</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="174.905" y="-2.51">
)</t年代p一个n></text>
</g>
</g>
</svg></span>是一组<年代vghe我ght=”10。7375" id="M40" style="vertical-align:-0.13794pt;width:8.6000004px;" version="1.1" viewbox="0 0 8.6000004 10.7375" width="8.6000004" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.7375)">
<g transform="translate(72,-63.41)">
<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></text>
</g>
</g>
</svg>最近的邻居的垃圾邮件消息<年代vghe我ght=”11。05” id="M41" style="vertical-align:-3.2316pt;width:11.025px;" version="1.1" viewbox="0 0 11.025 11.05" width="11.025" 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,-66.45,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
</g>
</g>
</svg>,在那里<年代vghe我ght=”18。5375” id="M42" style="vertical-align:-3.89476pt;width:13.55px;" version="1.1" viewbox="0 0 13.55 18.5375" width="13.55" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,18.5375)">
<g transform="translate(72,-57.17)">
<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,-66.45,66.1)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="0" y="8.7799997">
</t年代p一个n></text>
</g>
</g>
</svg>是一个<年代vghe我ght=”10。7375" id="M43" style="vertical-align:-0.13794pt;width:8.6000004px;" version="1.1" viewbox="0 0 8.6000004 10.7375" width="8.6000004" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.7375)">
<g transform="translate(72,-63.41)">
<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></text>
</g>
</g>
</svg>最近邻的垃圾邮件消息<年代vghe我ght=”11。05” id="M44" style="vertical-align:-3.2316pt;width:11.025px;" version="1.1" viewbox="0 0 11.025 11.05" width="11.025" 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,-66.45,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
</g>
</g>
</svg>。<年代p一个ncl一个年代年代=”equation" id="EEq6">
<svg height="88.224998" id="M45" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 88.224998" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,88.225)">
<g transform="translate(72,-1.42)">
<text transform="matrix(1,0,0,-1,128.51,53.45)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,134.43,50.32)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="2.7218721" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,145.05,53.45)">
<tspan style="font-size: 12.50px; " x="0" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="12.04" y="7.3299999">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="23.370001" y="-7.5999999">
1</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="39.573887" y="-7.5999999">
我</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="43.049721" y="-7.5999999">
f</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="51.389221" y="-7.5999999">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,201.94,57.92)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,209.84,61.05)">
<tspan style="font-size: 12.50px; " x="0" y="0">
∈</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="12.040389" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,231.03,57.92)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,235.78,57.92)">
<tspan style="font-size: 8.75px; " x="0" y="0">
N</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="6.318944" y="0">
N</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,251,58.53)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n><t年代p一个n 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,-1,262.35,57.92)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,265.57,58.53)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="7.9400001" y="-2.52">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="-136.66" y="44.810001">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="-97.150002" y="12.75">
0</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="-90.898499" y="12.75">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="-75.732361" y="12.75">
o</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="-69.568382" y="12.75">
t</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="-66.005028" y="12.75">
h</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="-59.753529" y="12.75">
e</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="-54.202194" y="12.75">
r</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="-49.80114" y="12.75">
w</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="-40.773972" y="12.75">
我</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="-37.298138" y="12.75">
年代</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="-32.434471" y="12.75">
e</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="-26.883141" y="12.75">
,</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,135.24,10.6)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="2.7218721" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,145.86,13.72)">
<tspan style="font-size: 12.50px; " x="0" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="12.04" y="7.3299999">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="23.360001" y="-7.5">
1</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="39.576389" y="-7.5">
我</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="43.052223" y="-7.5">
f</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="51.379223" y="-7.5">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,202.75,18.1)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,209.44,21.22)">
<tspan style="font-size: 12.50px; " x="0" y="0">
∈</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="12.027886" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,230.63,18.1)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,235.37,18.1)">
<tspan style="font-size: 8.75px; " x="0" y="0">
N</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="6.318944" y="0">
N</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,250.59,18.71)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="5.8600001" y="-2.51">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,261.95,18.1)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,265.17,18.71)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="7.9299998" y="-2.51">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="-95.949997" y="12.55">
0</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="-89.698502" y="12.55">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="-74.532364" y="12.55">
o</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="-68.368385" y="12.55">
t</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="-64.805023" y="12.55">
h</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="-58.553528" y="12.55">
e</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="-53.002193" y="12.55">
r</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="-48.601139" y="12.55">
w</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="-39.573975" y="12.55">
我</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="-36.098141" y="12.55">
年代</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="-31.234472" y="12.55">
e</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="-25.68314" y="12.55">
。</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="208.95" y="-14.87">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="213.11349" y="-14.87">
6</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="219.36501" y="-14.87">
)</t年代p一个n></text>
</g>
</g>
</svg></span></p>
<p>如果<年代vghe我ght=”16。637501" id="M46" style="vertical-align:-4.77652pt;width:43.674999px;" version="1.1" viewbox="0 0 43.674999 16.637501" width="43.674999" 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,-66.02,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="2.7218721" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,-55.4,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="12.027886" y="0">
1</t年代p一个n></text>
</g>
</g>
</svg>和<年代vghe我ght=”16。637501" id="M47" style="vertical-align:-4.77652pt;width:44.174999px;" version="1.1" viewbox="0 0 44.174999 16.637501" width="44.174999" 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,-65.62,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="2.7218721" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,-55,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="12.027886" y="0">
1</t年代p一个n></text>
</g>
</g>
</svg>,然后<年代vghe我ght=”11。05” id="M48" style="vertical-align:-3.2316pt;width:11.025px;" version="1.1" viewbox="0 0 11.025 11.05" width="11.025" 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,-66.45,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
</g>
</g>
</svg>和<年代vghe我ght=”12。975" id="M49" style="vertical-align:-4.77652pt;width:12.5375px;" version="1.1" viewbox="0 0 12.5375 12.975" width="12.5375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,12.975)">
<g transform="translate(72,-61.62)">
<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,-66.45,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
</g>
</g>
</svg>将相互最近的邻居。如果<年代vghe我ght=”16。637501" id="M50" style="vertical-align:-4.77652pt;width:43.674999px;" version="1.1" viewbox="0 0 43.674999 16.637501" width="43.674999" 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,-66.02,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="2.7218721" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,-55.4,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="12.027886" y="0">
1</t年代p一个n></text>
</g>
</g>
</svg>和<年代vghe我ght=”16。637501" id="M51" style="vertical-align:-4.77652pt;width:44.174999px;" version="1.1" viewbox="0 0 44.174999 16.637501" width="44.174999" 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,-65.62,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="2.7218721" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,-55,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="12.027886" y="0">
0</t年代p一个n></text>
</g>
</g>
</svg>或<年代vghe我ght=”16。637501" id="M52" style="vertical-align:-4.77652pt;width:43.674999px;" version="1.1" viewbox="0 0 43.674999 16.637501" width="43.674999" 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,-66.02,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="2.7218721" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,-55.4,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="12.027886" y="0">
0</t年代p一个n></text>
</g>
</g>
</svg>和<年代vghe我ght=”16。637501" id="M53" style="vertical-align:-4.77652pt;width:44.174999px;" version="1.1" viewbox="0 0 44.174999 16.637501" width="44.174999" 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,-65.62,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="2.7218721" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,-55,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="12.027886" y="0">
1</t年代p一个n></text>
</g>
</g>
</svg>,然后<年代vghe我ght=”11。05” id="M54" style="vertical-align:-3.2316pt;width:11.025px;" version="1.1" viewbox="0 0 11.025 11.05" width="11.025" 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,-66.45,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
</g>
</g>
</svg>和<年代vghe我ght=”12。975" id="M55" style="vertical-align:-4.77652pt;width:12.5375px;" version="1.1" viewbox="0 0 12.5375 12.975" width="12.5375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,12.975)">
<g transform="translate(72,-61.62)">
<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,-66.45,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
</g>
</g>
</svg>将最近的邻居。如果<年代vghe我ght=”16。637501" id="M56" style="vertical-align:-4.77652pt;width:43.674999px;" version="1.1" viewbox="0 0 43.674999 16.637501" width="43.674999" 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,-66.02,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="2.7218721" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,-55.4,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="12.027886" y="0">
0</t年代p一个n></text>
</g>
</g>
</svg>和<年代vghe我ght=”16。637501" id="M57" style="vertical-align:-4.77652pt;width:44.174999px;" version="1.1" viewbox="0 0 44.174999 16.637501" width="44.174999" 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,-65.62,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="2.7218721" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,-55,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="12.027886" y="0">
0</t年代p一个n></text>
</g>
</g>
</svg>,然后<年代vghe我ght=”11。05” id="M58" style="vertical-align:-3.2316pt;width:11.025px;" version="1.1" viewbox="0 0 11.025 11.05" width="11.025" 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,-66.45,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
</g>
</g>
</svg>和<年代vghe我ght=”12。975" id="M59" style="vertical-align:-4.77652pt;width:12.5375px;" version="1.1" viewbox="0 0 12.5375 12.975" width="12.5375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,12.975)">
<g transform="translate(72,-61.62)">
<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,-66.45,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
</g>
</g>
</svg>不会是最近的邻居。</p><p>gydF4y2Ba让<年代vghe我ght=”12。925” id="M60" style="vertical-align:-4.74141pt;width:18.1px;" version="1.1" viewbox="0 0 18.1 12.925" width="18.1" 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,-71.95,66.44)">
<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">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="2.7218721" y="0">
</t年代p一个n></text>
</g>
</g>
</svg>是一个布尔变量,等于1,如果垃圾邮件消息<年代vghe我ght=”11。05” id="M61" style="vertical-align:-3.2316pt;width:11.025px;" version="1.1" viewbox="0 0 11.025 11.05" width="11.025" 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,-66.45,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
</g>
</g>
</svg>属于集群<年代vghe我ght=”16。3375” id="M62" style="vertical-align:-4.74141pt;width:16.5875px;" version="1.1" viewbox="0 0 16.5875 16.3375" width="16.5875" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,16.3375)">
<g transform="translate(72,-58.93)">
<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>;否则,它等于0:<年代p一个ncl一个年代年代=”equation" id="EEq7">
<svg height="38.575001" id="M63" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 38.575001" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,38.575)">
<g transform="translate(72,-41.14)">
<text transform="matrix(1,0,0,-1,76.46,53.45)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,83.33,50.32)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="2.7218721" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,94.31,53.45)">
<tspan style="font-size: 12.50px; " x="0" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="12.03" y="7.3299999">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="23.360001" y="-7.8499999">
1</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="39.563889" y="-7.8499999">
我</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="43.039722" y="-7.8499999">
f</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="51.379223" y="-7.8499999">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,151.19,58.17)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,157.89,61.3)">
<tspan style="font-size: 12.50px; " x="0" y="0">
∈</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="12.027886" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,178.31,58.17)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,183.09,61.3)">
<tspan style="font-size: 12.50px; " x="0" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="-65.419998" y="15.23">
0</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="-49.21611" y="15.23">
我</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="-45.740276" y="15.23">
f</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="-37.400776" y="15.23">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,151.19,42.94)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,157.89,46.07)">
<tspan style="font-size: 12.50px; " x="0" y="0">
∉</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="12.027886" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,178.31,42.94)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,183.09,46.07)">
<tspan style="font-size: 12.50px; " x="0" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="28.870001" y="-7.3800001">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="36.221764" y="-7.3800001">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="48.262154" y="-7.3800001">
1</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="54.513653" y="-7.3800001">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="59.727406" y="-7.3800001">
…</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="74.318405" y="-7.3800001">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="79.519653" y="-7.3800001">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="85.733643" y="-7.3800001">
;</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="95.460976" y="-7.3800001">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="105.05078" y="-7.3800001">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="117.09117" y="-7.3800001">
1</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="123.34267" y="-7.3800001">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="128.54391" y="-7.3800001">
…</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="143.13492" y="-7.3800001">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="148.34866" y="-7.3800001">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="154.07504" y="-7.3800001">
。</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="291.03" y="-7.3800001">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="295.19351" y="-7.3800001">
7</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="301.44501" y="-7.3800001">
)</t年代p一个n></text>
</g>
</g>
</svg></span></p>
<p>考虑上面的名称,集群的准则函数可以定义如下:<年代p一个ncl一个年代年代=”equation" id="EEq8">
<svg height="50.275002" id="M64" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 50.275002" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,50.275)">
<g transform="translate(72,-31.78)">
<text transform="matrix(1,0,0,-1,61.83,49.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="10.515023" y="0">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="14.678522" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="21.555172" y="0">
)</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="29.194506" y="0">
=</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,108.96,65.61)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,103.07,43.12)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,103.82,35.94)">
<tspan style="font-size: 8.75px; " x="23.389999" y="-29.67">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="4.2797279" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="10.274848" y="0">
1</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,121.3,43.12)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,122.83,35.94)">
<tspan style="font-size: 8.75px; " x="22.610001" y="-29.67">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="2.7218721" y="0">
=</t年代p一个n><t年代p一个n 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,-1,139.54,43.12)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,140.73,35.94)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="3.4045279" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="9.3996477" y="0">
1</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,157.78,47.16)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n><t年代p一个n 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,-1,169.56,46.55)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="2.7218721" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,179.49,49.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
+</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="11.327718" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,197.16,46.55)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="2.7218721" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,204.3,47.16)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="28.09" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="33.939999" y="-2.51">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="7.9400001" y="-2.51">
年代</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="12.803667" y="-2.51">
我</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="16.279501" y="-2.51">
米</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,243.74,46.55)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,246.96,49.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="5.2012482" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,257.67,46.55)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,262.1,47.16)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="7.9400001" y="-2.51">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,276.91,46.55)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="2.7218721" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,284.41,49.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,291.29,46.55)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="3.4045279" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,302.95,49.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
⟶</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="25.231054" y="0">
米</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="34.958389" y="0">
一个</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="40.50972" y="0">
x</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="48.83672" y="0">
。</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="171.17" y="0">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="175.3335" y="0">
8</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="181.58499" y="0">
)</t年代p一个n></text>
</g>
</g>
</svg></span></p>
<p>集群是不重叠的,每一个<年代vghe我ght=”7。1374998" id="M65" style="vertical-align:-0.10033pt;width:7.8874998px;" version="1.1" viewbox="0 0 7.8874998 7.1374998" width="7.8874998" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,7.1375)">
<g transform="translate(72,-66.29)">
<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>只属于一个消息<年代vghe我ght=”9。875" id="M66" style="vertical-align:-2.29482pt;width:7.9124999px;" version="1.1" viewbox="0 0 7.9124999 9.875" width="7.9124999" 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>集群,应该满足以下条件:<年代p一个ncl一个年代年代=”equation" id="EEq9">
<svg height="50.224998" id="M67" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 50.224998" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,50.225)">
<g transform="translate(72,-31.82)">
<text transform="matrix(1,0,0,-1,149.5,65.61)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,143.6,43.12)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,144.35,35.94)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="4.2797279" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="10.274848" y="0">
1</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,161.84,49.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,168.72,46.55)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="2.7218721" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,179.69,49.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="12.027886" y="0">
1</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="18.279387" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="33.458027" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="40.822296" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="52.850182" y="0">
1</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="59.101681" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="64.31543" y="0">
…</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="78.906433" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="84.107681" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="90.321671" y="0">
。</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="294.42999" y="0">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="298.59351" y="0">
9</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="304.845" y="0">
)</t年代p一个n></text>
</g>
</g>
</svg></span></p>
<p>另一方面,据推测每个集群包含至少一个垃圾信息,不包含所有垃圾短信。<年代p一个ncl一个年代年代=”equation" id="EEq10">
<svg height="48.349998" id="M68" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 48.349998" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,48.35)">
<g transform="translate(72,-33.32)">
<text transform="matrix(1,0,0,-1,131.87,49.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
1</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="9.7148314" y="0">
<</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,159.54,65.61)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,153.63,43.12)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,155.16,35.94)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="2.7218721" y="0">
=</t年代p一个n><t年代p一个n 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,-1,171.87,49.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,178.75,46.55)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="2.7218721" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,189.72,49.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
<</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="12.027886" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="18.241877" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="33.420521" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="43.010319" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="55.038204" y="0">
1</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="61.289707" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="66.503456" y="0">
…</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="81.09446" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="86.295708" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="92.022079" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="278.14999" y="0">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="282.31351" y="0">
1</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="288.565" y="0">
0</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="294.8165" y="0">
)</t年代p一个n></text>
</g>
</g>
</svg></span>在哪里<年代p一个ncl一个年代年代=”equation" id="EEq11">
<svg height="16.975" id="M69" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 16.975" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,16.975)">
<g transform="translate(72,-58.42)">
<text transform="matrix(1,0,0,-1,142.73,63.2)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,149.6,60.07)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="2.7218721" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,160.58,63.2)">
<tspan style="font-size: 12.50px; " x="0" y="0">
∈</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="14.115887" y="0">
{</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="20.117327" y="0">
0</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="26.368828" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="31.570074" y="0">
1</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="37.821575" y="0">
}</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="55.875908" y="0">
f</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="59.651814" y="0">
o</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="65.903313" y="0">
r</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="73.180061" y="0">
一个</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="78.731392" y="0">
n</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="84.69532" y="0">
y</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="95.097816" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="98.986252" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="104.2" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="110.31397" y="0">
。</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="307.29001" y="0">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="311.45349" y="0">
1</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="317.70499" y="0">
1</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="323.95651" y="0">
)</t年代p一个n></text>
</g>
</g>
</svg></span></p>
<p>垃圾短信的聚类问题是形式化的布尔二次规划(<一个href=”#EEq8">8</一个>)- - - - - -(<gydF4y2Ba一个href=”#EEq11">11</一个>),提供非重叠集群的解决方案。这类问题<年代vghe我ght=”10。325" id="M70" style="vertical-align:-0.0pt;width:25.049999px;" version="1.1" viewbox="0 0 25.049999 10.325" width="25.049999" 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><t年代p一个n style="font-size: 12.50px; " x="10.640053" y="0">
</t年代p一个n></text>
</g>
</g>
</svg>推进问题的解决需要可行的时间和计算资源。为解决这个问题,可以应用这种算法、遗传算法、微分评估算法,粒子群优化算法,人工蜂群优化蚁群算法和神经网络。垃圾短信的数量是巨大的,一组动态补充,这些问题的解决方案要求的大型计算费用;因此,为了解决这个问题(<一个href=”#EEq8">8</一个>)- - - - - -(<gydF4y2Ba一个href=”#EEq11">11</一个>)提供的遗传算法。</p><h4gydF4y2Baid="genetic-algorithm-for-solving-the-clustering-problem">5。遗传算法解决聚类问题</h4><p>gydF4y2Ba遗传算法是解决大尺寸问题强有力的工具。但他们并不能保证发现的一个最优的解决方案。在遗传算法中,第一步是一个染色体编码的形式的解决方案取决于一个解决问题的特点。因此,在使用遗传算法之前,首先需要设计解决方案的问题形式的染色体。从字符解决问题(<一个href=”#EEq8">8</一个>)- - - - - -(<gydF4y2Ba一个href=”#EEq11">11</一个>),染色体种群在这样表示:<年代vghe我ght=”16。6”我d="M71" style="vertical-align:-4.74141pt;width:295.5px;" version="1.1" viewbox="0 0 295.5 16.6" width="295.5" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,16.6)">
<g transform="translate(72,-58.72)">
<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><t年代p一个n style="font-size: 12.50px; " x="13.340701" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="25.38109" y="0">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="29.544588" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,-35.52,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
1</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="4.3759999" y="0">
1</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,-26.27,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="5.2012482" y="0">
…</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="19.79225" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="24.993498" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,5.61,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
1</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="4.3759999" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,15.23,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="5.2012482" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,27.32,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="4.3759999" y="0">
1</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,36.57,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="5.2012482" y="0">
…</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="19.79225" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="24.993498" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,68.45,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="4.3759999" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,78.07,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="5.2012482" y="0">
…</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="19.79225" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="24.993498" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,109.95,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="4.3497438" y="0">
1</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,119.17,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="5.2012482" y="0">
…</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="19.79225" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="25.006001" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,151.06,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="4.3497438" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,160.18,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
)</t年代p一个n></text>
</g>
</g>
</svg>,基因(变量)<年代vghe我ght=”16。6”我d="M72" style="vertical-align:-4.74141pt;width:190.22501px;" version="1.1" viewbox="0 0 190.22501 16.6" width="190.22501" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,16.6)">
<g transform="translate(72,-58.72)">
<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">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="2.7218721" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,-53.41,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="4.1634989" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="11.527766" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="23.555653" y="0">
1</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="29.807152" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="35.020905" y="0">
…</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="49.611904" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="54.813152" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="61.027142" y="0">
;</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="70.754478" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="80.344276" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="92.384666" y="0">
1</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="98.636169" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="103.84991" y="0">
…</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="118.42841" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="123.64217" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="129.36855" y="0">
)</t年代p一个n></text>
</g>
</g>
</svg>根据(<一个href=”#EEq11">11</一个>)接受值0或1。在这种编码,染色体的大小等于<年代vghe我ght=”9。875" id="M73" style="vertical-align:-2.29482pt;width:27.0875px;" version="1.1" viewbox="0 0 27.0875 9.875" width="27.0875" 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><t年代p一个n style="font-size: 12.50px; " x="8.9896574" y="0">
⋅</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="15.341181" y="0">
</t年代p一个n></text>
</g>
</g>
</svg>,第一个<年代vghe我ght=”9。875" id="M74" style="vertical-align:-2.29482pt;width:7.9124999px;" version="1.1" viewbox="0 0 7.9124999 9.875" width="7.9124999" 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>位置对应于第一个垃圾邮件消息,之后<年代vghe我ght=”9。875" id="M75" style="vertical-align:-2.29482pt;width:7.9124999px;" version="1.1" viewbox="0 0 7.9124999 9.875" width="7.9124999" 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>第二垃圾信息。例如,对于<年代vghe我ght=”10。6” id="M76" style="vertical-align:-0.10033pt;width:35.099998px;" version="1.1" viewbox="0 0 35.099998 10.6" width="35.099998" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.6)">
<g transform="translate(72,-63.52)">
<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><t年代p一个n style="font-size: 12.50px; " x="9.6773224" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="21.71771" y="0">
7</t年代p一个n></text>
</g>
</g>
</svg>和<年代vghe我ght=”13。55” id="M77" style="vertical-align:-2.29482pt;width:34.487499px;" version="1.1" viewbox="0 0 34.487499 13.55" width="34.487499" 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><t年代p一个n style="font-size: 12.50px; " x="9.1897049" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="21.230095" y="0">
3</t年代p一个n></text>
</g>
</g>
</svg>、编码<年代vghe我ght=”13。45”我d="M78" style="vertical-align:-2.21957pt;width:367.875px;" version="1.1" viewbox="0 0 367.875 13.45" width="367.875" 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><t年代p一个n style="font-size: 12.50px; " x="13.340701" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="25.38109" y="0">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="29.544588" y="0">
0</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="35.796089" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="41.009838" y="0">
0</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="47.261341" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="52.462589" y="0">
1</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="58.714088" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="68.091339" y="0">
1</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="74.342834" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="79.556587" y="0">
0</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="85.80809" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="91.021843" y="0">
0</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="97.273338" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="106.65059" y="0">
0</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="112.90209" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="118.10334" y="0">
1</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="124.35484" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="129.56859" y="0">
0</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="135.82008" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="145.19734" y="0">
1</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="151.44884" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="156.66258" y="0">
0</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="162.91409" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="168.11534" y="0">
0</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="174.36684" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="183.74409" y="0">
1</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="189.99559" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="195.20934" y="0">
0</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="201.46085" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="206.67459" y="0">
0</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="212.92609" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="222.30334" y="0">
0</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="228.55484" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="233.75609" y="0">
1</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="240.00758" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="245.22134" y="0">
0</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="251.47284" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="260.8501" y="0">
0</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="267.10159" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="272.31534" y="0">
0</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="278.56683" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="283.7681" y="0">
1</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="290.01959" y="0">
)</t年代p一个n></text>
</g>
</g>
</svg>描述聚类垃圾短信<年代vghe我ght=”10。925" id="M79" style="vertical-align:-3.13504pt;width:13.1px;" version="1.1" viewbox="0 0 13.1 10.925" width="13.1" 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,-66.45,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">
1</t年代p一个n></text>
</g>
</g>
</svg>和<年代vghe我ght=”11。0125” id="M80" style="vertical-align:-3.20526pt;width:13.1px;" version="1.1" viewbox="0 0 13.1 11.0125" width="13.1" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,11.0125)">
<g transform="translate(72,-63.19)">
<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,-66.45,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">
7</t年代p一个n></text>
</g>
</g>
</svg>属于集群<年代vghe我ght=”14。4875" id="M81" style="vertical-align:-3.25793pt;width:16.700001px;" version="1.1" viewbox="0 0 16.700001 14.4875" width="16.700001" 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,-71.95,63.71)">
<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">
3</t年代p一个n></text>
</g>
</g>
</svg>
<svg height="14.75" id="M82" style="vertical-align:-3.25793pt;width:97.4375px;" version="1.1" viewbox="0 0 97.4375 14.75" width="97.4375" 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><t年代p一个n 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,-60.91,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
1</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="4.3759999" y="0">
3</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,-48.19,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="12.040389" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,-29.27,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
7</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="4.3759999" y="0">
3</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,-16.55,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="12.027886" y="0">
1</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="18.279387" y="0">
)</t年代p一个n></text>
</g>
</g>
</svg>;垃圾短信<年代vghe我ght=”10。925" id="M83" style="vertical-align:-3.13504pt;width:37.787498px;" version="1.1" viewbox="0 0 37.787498 10.925" width="37.787498" 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,-66.45,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,-61.57,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="9.364747" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,-46.7,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">
4</t年代p一个n></text>
</g>
</g>
</svg>,<年代vghe我ght=”11。075" id="M84" style="vertical-align:-3.25793pt;width:13.1px;" version="1.1" viewbox="0 0 13.1 11.075" width="13.1" 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,-66.45,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">
5</t年代p一个n></text>
</g>
</g>
</svg>属于集群<年代vghe我ght=”14。3375” id="M85" style="vertical-align:-3.13504pt;width:16.700001px;" version="1.1" viewbox="0 0 16.700001 14.3375" width="16.700001" 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">
1</t年代p一个n></text>
</g>
</g>
</svg>
<svg height="14.75" id="M86" style="vertical-align:-3.25793pt;width:136.9875px;" version="1.1" viewbox="0 0 136.9875 14.75" width="136.9875" 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><t年代p一个n 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,-60.91,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="4.3759999" y="0">
1</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,-48.19,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="12.040389" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,-29.27,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
4</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="4.3759999" y="0">
1</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,-16.55,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="12.027886" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,2.37,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
5</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="4.3759999" y="0">
1</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,15.09,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="12.027886" y="0">
1</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="18.279387" y="0">
)</t年代p一个n></text>
</g>
</g>
</svg>;和垃圾短信<年代vghe我ght=”11。075" id="M87" style="vertical-align:-3.25793pt;width:13.1px;" version="1.1" viewbox="0 0 13.1 11.075" width="13.1" 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,-66.45,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">
3</t年代p一个n></text>
</g>
</g>
</svg>
<svg height="7.1624999" id="M88" style="vertical-align:-0.0pt;width:8.3249998px;" version="1.1" viewbox="0 0 8.3249998 7.1624999" width="8.3249998" 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,-71.95,66.32)">
<tspan style="font-size: 12.50px; " x="0" y="0">
и</t年代p一个n></text>
</g>
</g>
</svg>
<svg height="11.075" id="M89" style="vertical-align:-3.25793pt;width:13.1px;" version="1.1" viewbox="0 0 13.1 11.075" width="13.1" 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,-66.45,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">
6</t年代p一个n></text>
</g>
</g>
</svg>属于集群<年代vghe我ght=”14。3375” id="M90" style="vertical-align:-3.13504pt;width:16.700001px;" version="1.1" viewbox="0 0 16.700001 14.3375" width="16.700001" 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">
2</t年代p一个n></text>
</g>
</g>
</svg>
<svg height="14.75" id="M91" style="vertical-align:-3.25793pt;width:97.4375px;" version="1.1" viewbox="0 0 97.4375 14.75" width="97.4375" 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><t年代p一个n 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,-60.91,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
3</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="4.3759999" y="0">
2</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,-48.19,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="12.040389" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,-29.27,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
6</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="4.3759999" y="0">
2</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,-16.55,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="12.027886" y="0">
1</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="18.279387" y="0">
)</t年代p一个n></text>
</g>
</g>
</svg>。</p><p>gydF4y2Ba需要注意的是,遗传算法很容易应用于无约束最优化问题,但遗传算法求解约束问题时所面临的问题不可行解决方案的出现。不可行的解决方案解决方案,打破限制(在我们的例子中条件(<一个href=”#EEq9">9</一个>)和(<一个href=”#EEq10">10</一个>))。用遗传算法解决问题时,最重要的是,不断支持算法工作期间的可行性解决方案,也就是说,维护染色体,这样他们不打破限制(条件)的一个问题。有不同的方法来预防发生不可行染色体(<一个href=”#B40">36</一个>- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -<gydF4y2Ba一个href=”#B42">38</一个>]。在本文中,为了避免维护不可行染色体,惩罚函数法。惩罚函数方法是非常有效的约束优化问题<一个href=”#B43">39</一个>,<gydF4y2Ba一个href=”#B44">40</一个>]。</p><p>gydF4y2Ba罚函数法的思想是减少不可行染色体发生时适应度函数的值。如果最小化问题是,那么引入罚函数应该大幅增加的健身价值不可行染色体。,相反,如果最大化问题是,罚函数应该大幅减少建筑物的健身价值不可行染色体。在构造罚函数之前,我们推出以下名称:<年代p一个ncl一个年代年代=”equation" id="eq1">
<svg height="85.074997" id="M92" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 85.074997" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,85.075)">
<g transform="translate(72,-3.94)">
<text transform="matrix(1,0,0,-1,131.33,52.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="8.0100002" y="2.51">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="13.86" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,152.07,49.22)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="2.7218721" y="0">
•</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,159.86,49.84)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="9.3299999" y="-2.51">
=</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,186.37,65.61)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,182.84,52.32)">
<tspan style="font-size: 12.50px; " x="0" y="0">
∑</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,181.23,41.29)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="4.2797279" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="10.274848" y="0">
1</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,195.88,52.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,202.75,49.22)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="2.7218721" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,210.25,52.35)">
<tspan style="font-size: 12.50px; " x="-79.989998" y="34.73">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="-71.580002" y="37.25">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="-65.730003" y="34.73">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="0" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="15.166139" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="22.530407" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="34.570793" y="0">
1</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="40.822296" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="46.036045" y="0">
…</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="60.614544" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="65.828293" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="72.04229" y="0">
,</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,151.4,14.49)">
<tspan style="font-size: 8.75px; " x="0" y="0">
•</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="4.5772958" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,160.75,15.1)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="9.3299999" y="-2.52">
=</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,186.49,30.88)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,182.95,17.59)">
<tspan style="font-size: 12.50px; " x="0" y="0">
∑</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,182.12,6.56)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="2.7218721" y="0">
=</t年代p一个n><t年代p一个n 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,-1,195.21,17.62)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,202.09,14.49)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="2.7218721" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,209.59,17.62)">
<tspan style="font-size: 12.50px; " x="0" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="15.166139" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="24.743437" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="36.783825" y="0">
1</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="43.035324" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="48.249077" y="0">
…</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="62.827576" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="68.041328" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="73.7677" y="0">
。</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="258.28" y="-17.219999">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="262.44351" y="-17.219999">
1</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="268.69501" y="-17.219999">
2</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="274.9465" y="-17.219999">
)</t年代p一个n></text>
</g>
</g>
</svg></span></p>
<p>的问题(<一个href=”#EEq8">8</一个>)- - - - - -(<gydF4y2Ba一个href=”#EEq11">11</一个>)是一个最大化问题,不可行染色体发生时罚函数应该大幅度减少健身价值。</p><p>gydF4y2Ba考虑到最后一条语句,惩罚函数应该定义如下:<年代p一个ncl一个年代年代=”equation" id="EEq12">
<svg height="109.7" id="M93" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 109.7" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,109.7)">
<g transform="translate(72,15.76)">
<text transform="matrix(1,0,0,-1,151.16,49.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="12.265443" y="0">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="16.428942" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="23.305592" y="0">
)</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="30.944925" y="0">
=</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,201.49,65.61)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,194.15,43.11)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,197.12,35.93)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="2.7218721" y="0">
=</t年代p一个n><t年代p一个n 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,-1,213.18,49.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,218.74,54.67)">
<tspan style="font-size: 8.75px; " x="0" y="0">
−</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="5.99512" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="10.931248" y="0">
|</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="12.681648" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="16.830095" y="0">
(</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="19.744513" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,243.3,52.48)">
<tspan style="font-size: 6.25px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 6.25px; " x="1.9443721" y="0">
•</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,249.01,54.67)">
<tspan style="font-size: 8.75px; " x="0" y="0">
)</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="2.9144161" y="0">
−</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="8.9095364" y="0">
1</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="13.285536" y="0">
|</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,264.55,49.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="203.32001" y="0.14">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="207.48351" y="0.14">
1</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="213.735" y="0.14">
3</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="219.9865" y="0.14">
)</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="-112.49" y="47.560001">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="-100.4121" y="47.560001">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="-96.248604" y="47.560001">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="-89.371956" y="47.560001">
)</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="-81.73262" y="47.560001">
=</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,202.19,18.06)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,194.86,-4.45)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,197.05,-11.63)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="4.2797279" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="10.274848" y="0">
1</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,213.88,2.11)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,219.45,7.11)">
<tspan style="font-size: 8.75px; " x="0" y="0">
−</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="5.99512" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="10.922496" y="0">
ℎ</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="15.9724" y="0">
(</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="18.886816" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="23.315329" y="0">
(</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="26.229744" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,250.5,4.92)">
<tspan style="font-size: 6.25px; " x="0" y="0">
•</t年代p一个n><t年代p一个n style="font-size: 6.25px; " x="3.2697959" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,257.32,7.11)">
<tspan style="font-size: 8.75px; " x="0" y="0">
)</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="2.9144161" y="0">
)</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,263.65,2.11)">
<tspan style="font-size: 12.50px; " x="0" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="204.22" y="0.88999999">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="208.3835" y="0.88999999">
1</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="214.63499" y="0.88999999">
4</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="220.88651" y="0.88999999">
)</t年代p一个n></text>
</g>
</g>
</svg></span>在哪里<年代vghe我ght=”12。3”我d="M95" style="vertical-align:-1.29163pt;width:36.137501px;" version="1.1" viewbox="0 0 36.137501 12.3" width="36.137501" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,12.3)">
<g transform="translate(72,-62.16)">
<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><t年代p一个n style="font-size: 12.50px; " x="10.515023" y="0">
≥</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="22.555412" y="0">
1</t年代p一个n></text>
</g>
</g>
</svg>系数和恶化吗<年代p一个ncl一个年代年代=”equation" id="eq2">
<svg height="56.549999" id="M96" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 56.549999" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,56.55)">
<g transform="translate(72,-26.76)">
<text transform="matrix(1,0,0,-1,135.69,46.26)">
<tspan style="font-size: 12.50px; " x="37.049999" y="-12.06">
⎧</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="37.049999" y="-6.9400001">
⎪</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="37.049999" y="3.1900001">
⎨</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="37.049999" y="13.32">
⎪</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="37.049999" y="18.379999">
⎩</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="48.040001" y="-15.19">
0</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="0" y="0">
ℎ</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="9.2897291" y="0">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="13.453228" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="17.366667" y="0">
)</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="25.006001" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="81.839996" y="-15.06">
我</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="85.315834" y="-15.06">
f</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="93.64283" y="-15.06">
1</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="103.37016" y="-15.06">
<</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="115.41055" y="-15.06">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="122.78732" y="-15.06">
<</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="134.82771" y="-15.06">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="141.0417" y="-15.06">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="45.049999" y="-0.059999999">
2</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="54.077168" y="-0.059999999">
−</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="65.417389" y="-0.059999999">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="81.833824" y="-0.059999999">
我</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="85.309662" y="-0.059999999">
f</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="93.636658" y="-0.059999999">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="101.02593" y="-0.059999999">
≤</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="113.06632" y="-0.059999999">
1</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="119.31782" y="-0.059999999">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="45.049999" y="14.94">
1</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="81.833824" y="14.94">
我</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="85.309662" y="14.94">
f</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="93.636658" y="14.94">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="101.02593" y="14.94">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="113.06632" y="14.94">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="119.28031" y="14.94">
。</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="332.17999" y="-7.1054274e-015">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="336.34351" y="-7.1054274e-015">
1</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="342.595" y="-7.1054274e-015">
5</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="348.8465" y="-7.1054274e-015">
)</t年代p一个n></text>
</g>
</g>
</svg></span></p>
<p>这个函数<年代vghe我ght=”13。45”我d="M97" style="vertical-align:-2.21957pt;width:30.15px;" version="1.1" viewbox="0 0 30.15 13.45" width="30.15" 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><t年代p一个n style="font-size: 12.50px; " x="8.8146152" y="0">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="12.978114" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="19.854765" y="0">
)</t年代p一个n></text>
</g>
</g>
</svg>(<一个href=”#EEq12">13</一个>)防止发生不可行染色体违反条件(<一个href=”#EEq9">9</一个>),和功能<年代vghe我ght=”13。45”我d="M98" style="vertical-align:-2.21957pt;width:28.112499px;" version="1.1" viewbox="0 0 28.112499 13.45" width="28.112499" 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><t年代p一个n style="font-size: 12.50px; " x="7.1892252" y="0">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="11.352724" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="18.229374" y="0">
)</t年代p一个n></text>
</g>
</g>
</svg>(<一个href=”#EEq12">14</一个>)防止发生不可行染色体违反条件(<一个href=”#EEq10">10</一个>)。</p><p>gydF4y2Ba很容易显示功能(<一个href=”#EEq12">13</一个>)和(<一个href=”#EEq12">14</一个>)有以下条件:<年代p一个ncl一个年代年代=”l我年代t”><span class="list-item"><span class="list-label">(我)</年代p一个n><年代p一个ncl一个年代s="list-content">如果条件(<一个href=”#EEq9">9</一个>)是满意的<年代vghe我ght=”13。45”我d="M99" style="vertical-align:-2.21957pt;width:57.349998px;" version="1.1" viewbox="0 0 57.349998 13.45" width="57.349998" 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><t年代p一个n style="font-size: 12.50px; " x="8.8146152" y="0">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="12.978114" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="19.854765" y="0">
)</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="27.481594" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="39.521984" y="0">
1</t年代p一个n></text>
</g>
</g>
</svg>;</年代p一个n></年代p一个n><span class="list-item"><span class="list-label">(2)</年代p一个n><年代p一个ncl一个年代s="list-content">如果对任何<年代vghe我ght=”9。9250002" id="M100" style="vertical-align:-0.13794pt;width:4.9875002px;" version="1.1" viewbox="0 0 4.9875002 9.9250002" width="4.9875002" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,9.925)">
<g transform="translate(72,-64.06)">
<text transform="matrix(1,0,0,-1,-71.95,64.25)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n></text>
</g>
</g>
</svg>条件(<一个href=”#EEq9">9</一个>)是不满意<年代vghe我ght=”13。9625" id="M101" style="vertical-align:-2.21957pt;width:70.775002px;" version="1.1" viewbox="0 0 70.775002 13.9625" width="70.775002" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,13.9625)">
<g transform="translate(72,-60.83)">
<text transform="matrix(1,0,0,-1,-71.95,63.09)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="8.8146152" y="0">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="12.978114" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="19.854765" y="0">
)</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="27.481594" y="0">
≤</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="39.521984" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,-26.86,68.09)">
<tspan style="font-size: 8.75px; " x="0" y="0">
−</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="5.99512" y="0">
</t年代p一个n></text>
</g>
</g>
</svg>;</年代p一个n></年代p一个n><span class="list-item"><span class="list-label">(3)</年代p一个n><年代p一个ncl一个年代s="list-content">如果条件(<一个href=”#EEq10">10</一个>)是满意的<年代vghe我ght=”13。45”我d="M102" style="vertical-align:-2.21957pt;width:55.325001px;" version="1.1" viewbox="0 0 55.325001 13.45" width="55.325001" 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><t年代p一个n style="font-size: 12.50px; " x="7.1892252" y="0">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="11.352724" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="18.229374" y="0">
)</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="25.856203" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="37.896591" y="0">
1</t年代p一个n></text>
</g>
</g>
</svg>;</年代p一个n></年代p一个n><span class="list-item"><span class="list-label">(iv)</年代p一个n><年代p一个ncl一个年代s="list-content">如果由于某种<年代vghe我ght=”9。875" id="M103" style="vertical-align:-2.29482pt;width:7.7624998px;" version="1.1" viewbox="0 0 7.7624998 9.875" width="7.7624998" 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>条件(<一个href=”#EEq10">10</一个>)是不满意<年代vghe我ght=”13。9625" id="M104" style="vertical-align:-2.21957pt;width:68.75px;" version="1.1" viewbox="0 0 68.75 13.9625" width="68.75" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,13.9625)">
<g transform="translate(72,-60.83)">
<text transform="matrix(1,0,0,-1,-71.95,63.09)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="7.1892252" y="0">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="11.352724" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="18.229374" y="0">
)</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="25.856203" y="0">
≤</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="37.896591" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,-28.48,68.09)">
<tspan style="font-size: 8.75px; " x="0" y="0">
−</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="5.99512" y="0">
</t年代p一个n></text>
</g>
</g>
</svg>。</年代p一个n></年代p一个n></span></p>
<p>因此,如果两个条件(<一个href=”#EEq9">9</一个>)和(<一个href=”#EEq10">10</一个>)感到满意,解决方案是可行的<年代vghe我ght=”13。45”我d="M105" style="vertical-align:-2.21957pt;width:85.337502px;" version="1.1" viewbox="0 0 85.337502 13.45" width="85.337502" 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><t年代p一个n style="font-size: 12.50px; " x="8.8146152" y="0">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="12.978114" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="19.854765" y="0">
)</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="24.018263" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="31.207487" y="0">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="35.370987" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="42.247639" y="0">
)</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="49.874466" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="61.914856" y="0">
1</t年代p一个n></text>
</g>
</g>
</svg>,相反,如果至少有一个不能满足这些条件,解决方案是不可行的,那么<年代vghe我ght=”13。9625" id="M106" style="vertical-align:-2.21957pt;width:98.775002px;" version="1.1" viewbox="0 0 98.775002 13.9625" width="98.775002" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,13.9625)">
<g transform="translate(72,-60.83)">
<text transform="matrix(1,0,0,-1,-71.95,63.09)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="8.8146152" y="0">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="12.978114" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="19.854765" y="0">
)</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="24.018263" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="31.207487" y="0">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="35.370987" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="42.247639" y="0">
)</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="49.874466" y="0">
≤</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="61.914856" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,-4.46,68.09)">
<tspan style="font-size: 8.75px; " x="0" y="0">
−</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="5.99512" y="0">
</t年代p一个n></text>
</g>
</g>
</svg>。</p><p>gydF4y2Ba考虑惩罚函数的性质,乘以标准函数(<一个href=”#EEq8">8</一个>)<gydF4y2Ba年代vghe我ght=”13。45”我d="M107" style="vertical-align:-2.21957pt;width:58.137501px;" version="1.1" viewbox="0 0 58.137501 13.45" width="58.137501" 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><t年代p一个n style="font-size: 12.50px; " x="8.8146152" y="0">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="12.978114" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="19.854765" y="0">
)</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="24.018263" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="31.207487" y="0">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="35.370987" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="42.247639" y="0">
)</t年代p一个n></text>
</g>
</g>
</svg>问题(<一个href=”#EEq8">8</一个>)- - - - - -(<gydF4y2Ba一个href=”#EEq11">11</一个>)与限制可以无限制地减少到以下问题:<年代p一个ncl一个年代年代=”equation" id="EEq14">
<svg height="15.75" id="M108" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 15.75" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,15.75)">
<g transform="translate(72,-59.4)">
<text transform="matrix(1,0,0,-1,117.08,63.2)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="11.75282" y="0">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="15.916319" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="22.792969" y="0">
)</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="30.432302" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="42.472691" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="53.000217" y="0">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="57.163715" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="64.040367" y="0">
)</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="70.279366" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="82.557312" y="0">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="86.72081" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="93.597458" y="0">
)</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="99.848961" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="111.92686" y="0">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="116.09035" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="122.967" y="0">
)</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="130.60634" y="0">
⟶</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="155.83739" y="0">
米</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="165.56473" y="0">
一个</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="171.11606" y="0">
x</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="179.45557" y="0">
。</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="350.79001" y="0">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="354.95349" y="0">
1</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="361.20499" y="0">
6</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="367.45651" y="0">
)</t年代p一个n></text>
</g>
</g>
</svg></span></p>
<p>在另一方面,染色体可以在原始的形式设计<年代vghe我ght=”14。6875" id="M109" style="vertical-align:-3.20526pt;width:121.5375px;" version="1.1" viewbox="0 0 121.5375 14.6875" width="121.5375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.6875)">
<g transform="translate(72,-60.25)">
<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><t年代p一个n style="font-size: 12.50px; " x="13.340701" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="25.38109" y="0">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="29.544588" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,-36.2,60.37)">
<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,-31.32,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
,</t年代p一个n><t年代p一个n 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,-19.91,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,-15.04,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="5.2012482" y="0">
…</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="19.79225" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="25.006001" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,16.17,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,21.02,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
)</t年代p一个n></text>
</g>
</g>
</svg>长度为<年代vghe我ght=”7。1374998" id="M110" style="vertical-align:-0.10033pt;width:7.8874998px;" version="1.1" viewbox="0 0 7.8874998 7.1374998" width="7.8874998" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,7.1375)">
<g transform="translate(72,-66.29)">
<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>在等位基因<年代vghe我ght=”11。025” id="M111" style="vertical-align:-3.2316pt;width:11.9px;" version="1.1" viewbox="0 0 11.9 11.025" width="11.9" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,11.025)">
<g transform="translate(72,-63.18)">
<text transform="matrix(1,0,0,-1,-71.95,66.45)">
<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,-65.75,63.32)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
</g>
</g>
</svg>定义集群的数量并接受值的设置<年代vghe我ght=”13。6125” id="M112" style="vertical-align:-2.29482pt;width:76.175003px;" version="1.1" viewbox="0 0 76.175003 13.6125" width="76.175003" 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,-71.95,63.45)">
<tspan style="font-size: 12.50px; " x="0" y="0">
{</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="6.00144" y="0">
1</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="12.25294" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="17.454187" y="0">
2</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="23.705688" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="28.919439" y="0">
…</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="43.497936" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="48.711689" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="54.825657" y="0">
}</t年代p一个n></text>
</g>
</g>
</svg>和位点(基因)的位置对应数量的垃圾短信。这样表示的基础上,定义问题的解决方案:<年代p一个ncl一个年代年代=”equation" id="eq3">
<svg height="38.575001" id="M113" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 38.575001" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,38.575)">
<g transform="translate(72,-41.14)">
<text transform="matrix(1,0,0,-1,80.57,53.45)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,87.44,50.32)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="2.7218721" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,94.51,48.13)">
<tspan style="font-size: 6.25px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,101.78,53.45)">
<tspan style="font-size: 12.50px; " x="0" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="12.04" y="7.3299999">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="23.370001" y="-7.6199999">
1</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="39.573887" y="-7.6199999">
我</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="43.049721" y="-7.6199999">
f</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="51.37672" y="-7.6199999">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="58.740986" y="-7.6199999">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="70.78138" y="-7.6199999">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="75.645042" y="-7.6199999">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="23.370001" y="7.3800001">
0</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="39.573887" y="7.3800001">
我</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="43.049721" y="7.3800001">
f</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="51.37672" y="7.3800001">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="57.353153" y="7.3800001">
≠</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="68.005707" y="7.3800001">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="72.869377" y="7.3800001">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="104.52" y="-7.1054274e-015">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="111.87177" y="-7.1054274e-015">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="123.91216" y="-7.1054274e-015">
1</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="130.16365" y="-7.1054274e-015">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="135.37741" y="-7.1054274e-015">
…</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="149.9684" y="-7.1054274e-015">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="155.16965" y="-7.1054274e-015">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="161.38364" y="-7.1054274e-015">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="170.76089" y="-7.1054274e-015">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="179.10039" y="-7.1054274e-015">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="191.14078" y="-7.1054274e-015">
1</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="197.39229" y="-7.1054274e-015">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="202.59354" y="-7.1054274e-015">
…</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="217.18454" y="-7.1054274e-015">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="222.39828" y="-7.1054274e-015">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="231.27542" y="-7.1054274e-015">
。</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="366.09" y="-7.1054274e-015">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="370.25351" y="-7.1054274e-015">
1</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="376.505" y="-7.1054274e-015">
7</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="382.7565" y="-7.1054274e-015">
)</t年代p一个n></text>
</g>
</g>
</svg></span></p>
<p>例如,<年代vghe我ght=”13。45”我d="M114" style="vertical-align:-2.21957pt;width:136.03751px;" version="1.1" viewbox="0 0 136.03751 13.45" width="136.03751" 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><t年代p一个n style="font-size: 12.50px; " x="13.340701" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="25.38109" y="0">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="29.544588" y="0">
2</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="35.796089" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="41.009838" y="0">
3</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="47.261341" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="52.462589" y="0">
1</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="58.714088" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="63.927837" y="0">
3</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="70.179337" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="75.393089" y="0">
4</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="81.644592" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="86.84584" y="0">
2</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="93.097336" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="98.311089" y="0">
3</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="104.56259" y="0">
)</t年代p一个n></text>
</g>
</g>
</svg>对应部门,垃圾短信<年代vghe我ght=”10。925" id="M115" style="vertical-align:-3.13504pt;width:13.1px;" version="1.1" viewbox="0 0 13.1 10.925" width="13.1" 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,-66.45,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">
1</t年代p一个n></text>
</g>
</g>
</svg>和<年代vghe我ght=”11。075" id="M116" style="vertical-align:-3.25793pt;width:13.1px;" version="1.1" viewbox="0 0 13.1 11.075" width="13.1" 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,-66.45,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">
6</t年代p一个n></text>
</g>
</g>
</svg>属于集群<年代vghe我ght=”14。3375” id="M117" style="vertical-align:-3.13504pt;width:16.700001px;" version="1.1" viewbox="0 0 16.700001 14.3375" width="16.700001" 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">
2</t年代p一个n></text>
</g>
</g>
</svg>
<svg height="14.75" id="M118" style="vertical-align:-3.25793pt;width:97.4375px;" version="1.1" viewbox="0 0 97.4375 14.75" width="97.4375" 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><t年代p一个n 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,-60.91,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
1</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="4.3759999" y="0">
2</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,-48.19,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="12.040389" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,-29.27,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
6</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="4.3759999" y="0">
2</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,-16.55,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="12.027886" y="0">
1</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="18.279387" y="0">
)</t年代p一个n></text>
</g>
</g>
</svg>,垃圾短信<年代vghe我ght=”10。925" id="M119" style="vertical-align:-3.13504pt;width:37.787498px;" version="1.1" viewbox="0 0 37.787498 10.925" width="37.787498" 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,-66.45,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,-61.57,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="9.364747" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,-46.7,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">
4</t年代p一个n></text>
</g>
</g>
</svg>,<年代vghe我ght=”11。0125” id="M120" style="vertical-align:-3.20526pt;width:13.1px;" version="1.1" viewbox="0 0 13.1 11.0125" width="13.1" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,11.0125)">
<g transform="translate(72,-63.19)">
<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,-66.45,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">
7</t年代p一个n></text>
</g>
</g>
</svg>属于集群<年代vghe我ght=”14。4875" id="M121" style="vertical-align:-3.25793pt;width:16.700001px;" version="1.1" viewbox="0 0 16.700001 14.4875" width="16.700001" 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,-71.95,63.71)">
<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">
3</t年代p一个n></text>
</g>
</g>
</svg>
<svg height="14.75" id="M122" style="vertical-align:-3.25793pt;width:136.9875px;" version="1.1" viewbox="0 0 136.9875 14.75" width="136.9875" 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><t年代p一个n 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,-60.91,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="4.3759999" y="0">
3</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,-48.19,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="12.040389" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,-29.27,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
4</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="4.3759999" y="0">
3</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,-16.55,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="12.027886" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,2.37,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
7</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="4.3759999" y="0">
3</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,15.09,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="12.027886" y="0">
1</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="18.279387" y="0">
)</t年代p一个n></text>
</g>
</g>
</svg>,垃圾邮件消息<年代vghe我ght=”11。075" id="M123" style="vertical-align:-3.25793pt;width:13.1px;" version="1.1" viewbox="0 0 13.1 11.075" width="13.1" 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,-66.45,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">
3</t年代p一个n></text>
</g>
</g>
</svg>属于集群<年代vghe我ght=”14。3375” id="M124" style="vertical-align:-3.13504pt;width:16.700001px;" version="1.1" viewbox="0 0 16.700001 14.3375" width="16.700001" 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">
1</t年代p一个n></text>
</g>
</g>
</svg>
<svg height="14.75" id="M125" style="vertical-align:-3.25793pt;width:57.900002px;" version="1.1" viewbox="0 0 57.900002 14.75" width="57.900002" 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><t年代p一个n 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,-60.91,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
3</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="4.3759999" y="0">
1</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,-48.19,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="12.040389" y="0">
1</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="18.291889" y="0">
)</t年代p一个n></text>
</g>
</g>
</svg>和垃圾信息<年代vghe我ght=”11。075" id="M126" style="vertical-align:-3.25793pt;width:13.1px;" version="1.1" viewbox="0 0 13.1 11.075" width="13.1" 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,-66.45,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">
5</t年代p一个n></text>
</g>
</g>
</svg>属于集群<年代vghe我ght=”14。3375” id="M127" style="vertical-align:-3.13504pt;width:16.700001px;" version="1.1" viewbox="0 0 16.700001 14.3375" width="16.700001" 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">
4</t年代p一个n></text>
</g>
</g>
</svg>
<svg height="14.75" id="M128" style="vertical-align:-3.25793pt;width:57.900002px;" version="1.1" viewbox="0 0 57.900002 14.75" width="57.900002" 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><t年代p一个n 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,-60.91,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
5</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="4.3759999" y="0">
4</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,-48.19,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="12.040389" y="0">
1</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="18.291889" y="0">
)</t年代p一个n></text>
</g>
</g>
</svg>。</p><p>gydF4y2Ba让我们注意到在这样的染色体设计条件(<一个href=”#EEq9">9</一个>)将总是满意。在[<一个href=”#B41">37</一个>],它已经表明,这样的运营商实现可行染色体不会导致发生不可行染色体。有效只有在这种情况下生成初始种群时遵守的条件(<一个href=”#EEq10">10</一个>)。随着聚类数量的垃圾短信的数量远远超过集群<年代vghe我ght=”11。3” id="M129" style="vertical-align:-2.29482pt;width:38.9375px;" version="1.1" viewbox="0 0 38.9375 11.3" width="38.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,11.3)">
<g transform="translate(72,-62.96)">
<text transform="matrix(1,0,0,-1,-71.95,65.3)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="9.6773224" y="0">
≫</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="24.818455" y="0">
</t年代p一个n></text>
</g>
</g>
</svg>,在这种情况下<年代vghe我ght=”14。375” id="M130" style="vertical-align:-3.13504pt;width:37.950001px;" version="1.1" viewbox="0 0 37.950001 14.375" width="37.950001" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.375)">
<g transform="translate(72,-60.5)">
<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></text>
<text transform="matrix(1,0,0,-1,-68.06,60.55)">
<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,-61.1,63.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
≠</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="10.640053" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,-46.57,60.55)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</t年代p一个n></text>
</g>
</g>
</svg>平等<年代vghe我ght=”13。725” id="M131" style="vertical-align:-5.39853pt;width:50.650002px;" version="1.1" viewbox="0 0 50.650002 13.725" width="50.650002" 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,-71.95,66.45)">
<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,-65.75,63.32)">
<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,-63.03,61.13)">
<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,-56.61,66.45)">
<tspan style="font-size: 12.50px; " x="0" y="0">
=</t年代p一个n><t年代p一个n 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,-38.37,63.32)">
<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,-35.65,61.13)">
<tspan style="font-size: 6.25px; " x="0" y="0">
2</t年代p一个n></text>
</g>
</g>
</svg>发生在初始种群的产生不可行染色体的发生概率会很高。因此,纪念一个条件所花费的时间(<一个href=”#EEq10">10</一个>),对初始种群的生成,可以与解决问题的时候了。因此,它是合理的应用罚函数方法。至于这样的编码,条件(<一个href=”#EEq9">9</一个>)总是满意的准则函数将以这样的形式:<年代p一个ncl一个年代年代=”equation" id="eq4">
<svg height="15.75" id="M132" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 15.75" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,15.75)">
<g transform="translate(72,-59.4)">
<text transform="matrix(1,0,0,-1,131.86,63.2)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="11.75282" y="0">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="15.916319" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="22.792969" y="0">
)</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="30.432302" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="42.472691" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="53.000217" y="0">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="57.163715" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="64.040367" y="0">
)</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="70.279366" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="82.369766" y="0">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="86.533264" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="93.409912" y="0">
)</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="101.04925" y="0">
⟶</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="126.2803" y="0">
米</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="136.00763" y="0">
一个</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="141.55896" y="0">
x</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="149.89847" y="0">
。</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="336.01001" y="0">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="340.17349" y="0">
1</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="346.42499" y="0">
8</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="352.67651" y="0">
)</t年代p一个n></text>
</g>
</g>
</svg></span></p>
<p>作为选择算子,染色体的选择比例,从目前的人口<年代vghe我ght=”14。725” id="M133" style="vertical-align:-3.24037pt;width:136.08749px;" version="1.1" viewbox="0 0 136.08749 14.725" width="136.08749" 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><t年代p一个n style="font-size: 12.50px; " x="13.115647" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="25.156036" y="0">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="29.319534" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,-32.75,60.37)">
<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,-27.87,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
,</t年代p一个n><t年代p一个n 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,-12.78,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
2</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,-7.91,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="5.2012482" y="0">
…</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="19.79225" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="24.993498" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,26.97,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,32.65,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
)</t年代p一个n></text>
</g>
</g>
</svg>根据定义的概率被选中公式:<年代p一个ncl一个年代年代=”equation" id="eq5">
<svg height="47.212502" id="M134" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 47.212502" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,47.2125)">
<g transform="translate(72,-34.23)">
<text transform="matrix(1,0,0,-1,118.71,50.56)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,124.95,47.43)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,134.1,50.56)">
<tspan style="font-size: 12.50px; " x="0" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="27.75" y="-10.57">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="39.369999" y="-8.0600004">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="45.23" y="-10.57">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,189.2,58.01)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,194.88,58.62)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n></text>
<g>
<path d="m 147.33,53.68 67.92,0" 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,-1,147.33,38.82)">
<tspan style="font-size: 12.50px; " x="0" y="0">
∑</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,158.76,45.08)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="0" y="9.9300003">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="4.656064" y="9.9300003">
=</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="10.651184" y="9.9300003">
1</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,176.37,38.85)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="11.62" y="2.52">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="17.469999" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,203.72,35.72)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,209.4,36.33)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="7.0500002" y="-14.23">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="22.216139" y="-14.23">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="32.343571" y="-14.23">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="44.371456" y="-14.23">
1</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="50.622955" y="-14.23">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="55.836704" y="-14.23">
…</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="70.427704" y="-14.23">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="75.628952" y="-14.23">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="85.506325" y="-14.23">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="258.47" y="-14.23">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="262.63348" y="-14.23">
1</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="268.88501" y="-14.23">
9</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="275.13651" y="-14.23">
)</t年代p一个n></text>
</g>
</g>
</svg></span>使用。</p><p>gydF4y2Ba在这里<年代vghe我ght=”10。325" id="M135" style="vertical-align:-0.0pt;width:12.7px;" version="1.1" viewbox="0 0 12.7 10.325" width="12.7" 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>是一个人口规模,<年代vghe我ght=”14。725” id="M136" style="vertical-align:-3.24037pt;width:39.637501px;" version="1.1" viewbox="0 0 39.637501 14.725" width="39.637501" 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><t年代p一个n style="font-size: 12.50px; " x="7.7268538" y="0">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="11.890353" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,-50.18,60.37)">
<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,-44.5,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
)</t年代p一个n></text>
</g>
</g>
</svg>是染色体的适应度值吗<年代vghe我ght=”14。375” id="M137" style="vertical-align:-3.24037pt;width:19.575001px;" version="1.1" viewbox="0 0 19.575001 14.375" width="19.575001" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.375)">
<g transform="translate(72,-60.5)">
<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,-62.07,60.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
</g>
</g>
</svg>。适应度函数取决于角色的解决问题。在我们的例子中,函数的目的在于最大化问题<年代vghe我ght=”13。45”我d="M138" style="vertical-align:-2.21957pt;width:30.2875px;" version="1.1" viewbox="0 0 30.2875 13.45" width="30.2875" 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><t年代p一个n style="font-size: 12.50px; " x="8.9271421" y="0">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="13.090641" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="19.967291" y="0">
)</t年代p一个n></text>
</g>
</g>
</svg>然后用大染色体准则函数的价值<年代vghe我ght=”13。45”我d="M139" style="vertical-align:-2.21957pt;width:30.2875px;" version="1.1" viewbox="0 0 30.2875 13.45" width="30.2875" 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><t年代p一个n style="font-size: 12.50px; " x="8.9271421" y="0">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="13.090641" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="19.967291" y="0">
)</t年代p一个n></text>
</g>
</g>
</svg>应该每一个前景为以下一代生存。根据最后一个公式,它意味着准则函数的值较小的染色体<年代vghe我ght=”13。45”我d="M140" style="vertical-align:-2.21957pt;width:30.2875px;" version="1.1" viewbox="0 0 30.2875 13.45" width="30.2875" 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><t年代p一个n style="font-size: 12.50px; " x="8.9271421" y="0">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="13.090641" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="19.967291" y="0">
)</t年代p一个n></text>
</g>
</g>
</svg>应该有大的健身价值。考虑到这一点,健身价值<年代vghe我ght=”14。725” id="M141" style="vertical-align:-3.24037pt;width:39.637501px;" version="1.1" viewbox="0 0 39.637501 14.725" width="39.637501" 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><t年代p一个n style="font-size: 12.50px; " x="7.7268538" y="0">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="11.890353" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,-50.18,60.37)">
<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,-44.5,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
)</t年代p一个n></text>
</g>
</g>
</svg>的染色体<年代vghe我ght=”14。375” id="M142" style="vertical-align:-3.24037pt;width:19.575001px;" version="1.1" viewbox="0 0 19.575001 14.375" width="19.575001" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.375)">
<g transform="translate(72,-60.5)">
<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,-62.07,60.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
</g>
</g>
</svg>被定义为<年代p一个ncl一个年代年代=”equation" id="eq6">
<svg height="19.35" id="M143" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 19.35" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,19.35)">
<g transform="translate(72,-56.52)">
<text transform="matrix(1,0,0,-1,159.06,61.13)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="11.63" y="2.51">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="17.48" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,186.42,58.01)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,192.1,58.62)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="33.119999" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="38.970001" y="-2.51">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="9.3199997" y="-2.51">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="21.347885" y="-2.51">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,240.95,58.01)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,246.63,58.62)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="7.9299998" y="-2.51">
。</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="221.24001" y="-2.51">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="225.4035" y="-2.51">
2</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="231.655" y="-2.51">
0</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="237.90649" y="-2.51">
)</t年代p一个n></text>
</g>
</g>
</svg></span></p>
<p>应用罚函数,遗传算法的方法产生的不可行解运营商将消除过程中涉及的健身价值,和可行的决策将有更多的机会为了生存,也就是说,惩罚函数方法允许加快遗传算法的收敛过程。这是因为惩罚函数方法在发生不可行染色体不要求额外的性能操作(反冲和染色体回到以前的状态,修正不可行染色体,等等)。这里需要注意的是,任何类型的交叉和变异的经营者可以作为惩罚函数的输入。</p><p>gydF4y2Ba现在停止准则应该定义,这是遗传算法的一个重要步骤。</p><p>gydF4y2Ba密实度的最大化导致每个集群点非常类似于相应的中心。因此,我们将定义坐标中心的集群。<年代vghe我ght=”12。675” id="M144" style="vertical-align:-2.34499pt;width:7.1374998px;" version="1.1" viewbox="0 0 7.1374998 12.675" width="7.1374998" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,12.675)">
<g transform="translate(72,-61.86)">
<text transform="matrix(1,0,0,-1,-71.95,64.25)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n></text>
</g>
</g>
</svg>中心的坐标<年代vghe我ght=”16。487499" id="M145" style="vertical-align:-4.74141pt;width:17.5375px;" version="1.1" viewbox="0 0 17.5375 16.487499" width="17.5375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,16.4875)">
<g transform="translate(72,-58.81)">
<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>
<text transform="matrix(1,0,0,-1,-62.8,60.46)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
</g>
</g>
</svg>集群的<年代vghe我ght=”16。3375” id="M146" style="vertical-align:-4.74141pt;width:16.5875px;" version="1.1" viewbox="0 0 16.5875 16.3375" width="16.5875" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,16.3375)">
<g transform="translate(72,-58.93)">
<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>的计算公式:<年代p一个ncl一个年代年代=”equation" id="eq7">
<svg height="50.174999" id="M147" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 50.174999" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,50.175)">
<g transform="translate(72,-31.86)">
<text transform="matrix(1,0,0,-1,93.59,48.22)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,99.32,45.09)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="4.2797279" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,111.5,48.22)">
<tspan style="font-size: 12.50px; " x="0" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="15.6" y="-7.25">
1</t年代p一个n></text>
<g>
<path d="m 124.73,51.34 10.99,0" 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,-1,124.73,39.46)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,130.95,36.34)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="12.18" y="-29.27">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,147.48,63.43)">
<tspan style="font-size: 6.25px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,139,41.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,139.57,34.49)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="4.656064" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="10.651184" y="0">
1</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,157.24,48.22)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,166.93,45.09)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="4.656064" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,176.02,48.22)">
<tspan style="font-size: 12.50px; " x="0" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="15.166139" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="24.743437" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="36.783825" y="0">
1</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="43.035324" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="48.249077" y="0">
…</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="62.840076" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="68.041328" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="73.7677" y="0">
;</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="83.495033" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="91.834534" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="103.87492" y="0">
1</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="110.12643" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="115.32767" y="0">
…</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="129.91867" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="135.13243" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="144.00955" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="291.85001" y="0">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="296.01349" y="0">
2</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="302.26498" y="0">
1</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="308.51651" y="0">
)</t年代p一个n></text>
</g>
</g>
</svg></span>在哪里<年代vghe我ght=”12。925” id="M148" style="vertical-align:-4.74141pt;width:13.8625px;" version="1.1" viewbox="0 0 13.8625 12.925" width="13.8625" 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,-71.95,66.44)">
<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,-65.74,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
</g>
</g>
</svg>集群的点数量吗<年代vghe我ght=”16。3375” id="M149" style="vertical-align:-4.74141pt;width:16.5875px;" version="1.1" viewbox="0 0 16.5875 16.3375" width="16.5875" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,16.3375)">
<g transform="translate(72,-58.93)">
<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>。很明显<年代vghe我ght=”20。475" id="M150" style="vertical-align:-6.20593pt;width:76.849998px;" version="1.1" viewbox="0 0 76.849998 20.475" width="76.849998" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,20.475)">
<g transform="translate(72,-55.62)">
<text transform="matrix(1,0,0,-1,-71.95,61.83)">
<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,-60.52,68.09)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="0" y="10.82">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="4.2797279" y="10.82">
=</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="10.274848" y="10.82">
1</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,-43.29,61.86)">
<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,-37.08,58.73)">
<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,-28.82,61.86)">
<tspan style="font-size: 12.50px; " x="0" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="12.027886" y="0">
</t年代p一个n></text>
</g>
</g>
</svg>。</p><p>gydF4y2Ba集群的密实度<年代vghe我ght=”16。3375” id="M151" style="vertical-align:-4.74141pt;width:16.5875px;" version="1.1" viewbox="0 0 16.5875 16.3375" width="16.5875" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,16.3375)">
<g transform="translate(72,-58.93)">
<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>是由以下公式计算:<年代p一个ncl一个年代年代=”equation" id="eq8">
<svg height="48.349998" id="M152" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 48.349998" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,48.35)">
<g transform="translate(72,-33.32)">
<text transform="matrix(1,0,0,-1,139.18,49.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,144.28,46.55)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,152.53,49.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="15.6" y="-7.2600002">
1</t年代p一个n></text>
<g>
<path d="m 165.76,52.8 11,0" 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,-1,165.76,40.92)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,171.98,37.8)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="13.96" y="-27.809999">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,180.03,43.12)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,181.56,35.94)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="2.7218721" y="0">
=</t年代p一个n><t年代p一个n 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,-1,198.27,49.67)">
<tspan style="font-size: 12.50px; " x="20.15" y="2.51">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="26" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="0" y="0">
年代</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="4.863667" y="0">
我</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="8.3395014" y="0">
米</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,229.78,46.55)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,233,49.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="5.2012482" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,247.36,46.55)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,252.14,47.16)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="7.9299998" y="-2.51">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,266.95,46.55)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="2.7218721" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,274.45,49.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
。</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="193.42" y="0">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="197.5835" y="0">
2</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="203.83499" y="0">
2</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="210.0865" y="0">
)</t年代p一个n></text>
</g>
</g>
</svg></span></p>
<p>的平均相似集群<年代vghe我ght=”16。3375” id="M153" style="vertical-align:-4.74141pt;width:16.5875px;" version="1.1" viewbox="0 0 16.5875 16.3375" width="16.5875" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,16.3375)">
<g transform="translate(72,-58.93)">
<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>我们到其他集群定义如下:<年代p一个ncl一个年代年代=”equation" id="eq9">
<svg height="48.387501" id="M154" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 48.387501" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,48.3875)">
<g transform="translate(72,-33.29)">
<text transform="matrix(1,0,0,-1,97.2,49.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,106.45,46.55)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,114.7,49.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="23.16" y="-7.2600002">
1</t年代p一个n></text>
<g>
<path d="m 127.93,52.8 26.1,0" 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,-1,127.93,40.92)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="8.5020399" y="0">
−</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="19.84226" y="0">
1</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,163.21,65.61)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,157.31,43.12)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,158.02,35.94)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="4.3672481" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="10.362368" y="0">
1</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,175.55,49.67)">
<tspan style="font-size: 12.50px; " x="20.15" y="2.51">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="26" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="0" y="0">
年代</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="4.863667" y="0">
我</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="8.3395014" y="0">
米</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,210.71,46.55)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,215.48,49.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="5.2012482" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,229.85,46.55)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,234.71,47.16)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="7.9400001" y="-2.51">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="23.106138" y="-2.51">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="32.683437" y="-2.51">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="44.723827" y="-2.51">
1</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="50.975327" y="-2.51">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="56.189075" y="-2.51">
…</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="70.780075" y="-2.51">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="75.981323" y="-2.51">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="81.707703" y="-2.51">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="233.16" y="-2.51">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="237.3235" y="-2.51">
2</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="243.575" y="-2.51">
3</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="249.82649" y="-2.51">
)</t年代p一个n></text>
</g>
</g>
</svg></span>在哪里<年代vghe我ght=”16。7125” id="M155" style="vertical-align:-4.74141pt;width:74.5625px;" version="1.1" viewbox="0 0 74.5625 16.7125" width="74.5625" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,16.7125)">
<g transform="translate(72,-58.63)">
<text transform="matrix(1,0,0,-1,-71.95,63.41)">
<tspan style="font-size: 12.50px; " x="0" y="0">
年代</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="4.863667" y="0">
我</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="8.3395014" y="0">
米</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="18.066835" y="0">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="22.230333" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,-40.57,60.28)">
<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,-35.79,63.41)">
<tspan style="font-size: 12.50px; " x="0" y="0">
,</t年代p一个n><t年代p一个n 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,-21.43,60.28)">
<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,-16.56,63.41)">
<tspan style="font-size: 12.50px; " x="0" y="0">
)</t年代p一个n></text>
</g>
</g>
</svg>之间的相似性是集群的中心<年代vghe我ght=”16。3375” id="M156" style="vertical-align:-4.74141pt;width:16.5875px;" version="1.1" viewbox="0 0 16.5875 16.3375" width="16.5875" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,16.3375)">
<g transform="translate(72,-58.93)">
<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>和<年代vghe我ght=”14。4875" id="M157" style="vertical-align:-3.25793pt;width:16.6875px;" version="1.1" viewbox="0 0 16.6875 14.4875" width="16.6875" 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,-71.95,63.71)">
<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>。</p><p>gydF4y2Ba如果条件<年代vghe我ght=”16。6”我d="M158" style="vertical-align:-4.74141pt;width:112.6625px;" version="1.1" viewbox="0 0 112.6625 16.6" width="112.6625" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,16.6)">
<g transform="translate(72,-58.72)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
米</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="9.727334" y="0">
一个</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="15.278666" y="0">
x</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,-46.25,60.37)">
<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,-39.39,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n><t年代p一个n 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,-25.97,60.37)">
<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,-21.2,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
/</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="3.4758339" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,-12.62,60.37)">
<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,-7.84,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
)</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="7.6268301" y="0">
<</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="19.667219" y="0">
1</t年代p一个n></text>
</g>
</g>
</svg>是满意,然后停止遗传算法。</p><h4gydF4y2Baid="classification-using-the-𝑘𝑁𝑁-method">6。分类使用<年代vghe我ght=”10。7375" id="M159" style="vertical-align:-0.13794pt;width:36.599998px;" version="1.1" viewbox="0 0 36.599998 10.7375" width="36.599998" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.7375)">
<g transform="translate(72,-63.41)">
<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><t年代p一个n style="font-size: 12.50px; " x="6.7766261" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="17.416679" y="0">
</t年代p一个n></text>
</g>
</g>
</svg>方法</h4><p>gydF4y2Ba收集的垃圾短信永久改变,补充新类型的垃圾短信集群后,有必要陪集群。所以应该分类垃圾短信的集合。分类,<年代vghe我ght=”10。7375" id="M160" style="vertical-align:-0.13794pt;width:31.1625px;" version="1.1" viewbox="0 0 31.1625 10.7375" width="31.1625" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.7375)">
<g transform="translate(72,-63.41)">
<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><t年代p一个n style="font-size: 12.50px; " x="6.7766261" y="0">
N</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="15.803792" y="0">
N</t年代p一个n></text>
</g>
</g>
</svg>使用方法。的<年代vghe我ght=”10。7375" id="M161" style="vertical-align:-0.13794pt;width:31.1625px;" version="1.1" viewbox="0 0 31.1625 10.7375" width="31.1625" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.7375)">
<g transform="translate(72,-63.41)">
<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><t年代p一个n style="font-size: 12.50px; " x="6.7766261" y="0">
N</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="15.803792" y="0">
N</t年代p一个n></text>
</g>
</g>
</svg>方法是用在许多问题来确定对象所属的类。这种分类方法是基于已有的分类对象。在我们的例子中,对象被垃圾短信;然后指定每个新的垃圾邮件消息集合<年代vghe我ght=”11。375" id="M162" style="vertical-align:-3.49493pt;width:26.025px;" version="1.1" viewbox="0 0 26.025 11.375" width="26.025" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,11.375)">
<g transform="translate(72,-62.9)">
<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,-66.45,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="4.3497438" y="0">
+</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="10.344864" y="0">
1</t年代p一个n></text>
</g>
</g>
</svg>,我们将定义<年代vghe我ght=”10。7375" id="M163" style="vertical-align:-0.13794pt;width:8.6000004px;" version="1.1" viewbox="0 0 8.6000004 10.7375" width="8.6000004" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.7375)">
<g transform="translate(72,-63.41)">
<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></text>
</g>
</g>
</svg>最近的垃圾短信已经属于其中一个类。</p><p>gydF4y2Ba的<年代vghe我ght=”10。7375" id="M164" style="vertical-align:-0.13794pt;width:31.1625px;" version="1.1" viewbox="0 0 31.1625 10.7375" width="31.1625" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.7375)">
<g transform="translate(72,-63.41)">
<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><t年代p一个n style="font-size: 12.50px; " x="6.7766261" y="0">
N</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="15.803792" y="0">
N</t年代p一个n></text>
</g>
</g>
</svg>分类器为每个集群<年代vghe我ght=”16。3375” id="M165" style="vertical-align:-4.74141pt;width:16.5875px;" version="1.1" viewbox="0 0 16.5875 16.3375" width="16.5875" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,16.3375)">
<g transform="translate(72,-58.93)">
<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>计算相关性得分<年代p一个ncl一个年代年代=”equation" id="eq10">
<svg height="91.5625" id="M166" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 91.5625" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,91.5625)">
<g transform="translate(72,1.25)">
<text transform="matrix(1,0,0,-1,97.5,59.76)">
<tspan style="font-size: 12.50px; " x="28.440001" y="2.51">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="34.290001" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="0" y="0">
年代</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="4.863667" y="0">
c</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="10.414999" y="0">
o</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="16.666498" y="0">
r</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="20.804993" y="0">
e</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,137.29,56.63)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="4.3497438" y="0">
+</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="10.344864" y="0">
1</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,152.51,59.76)">
<tspan style="font-size: 12.50px; " x="0" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="5.2012482" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,166.11,56.63)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,170.89,57.25)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="9.3199997" y="-2.51">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="42.02" y="4.04">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,192.25,45.3)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,196.1,47.71)">
<tspan style="font-size: 6.25px; " x="0" y="0">
′</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,198.41,45.3)">
<tspan style="font-size: 8.75px; " x="0" y="0">
∈</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="5.99512" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,210.81,43.11)">
<tspan style="font-size: 6.25px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,214.36,45.3)">
<tspan style="font-size: 8.75px; " x="0" y="0">
(</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="2.9144161" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,221.13,43.11)">
<tspan style="font-size: 6.25px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 6.25px; " x="3.107244" y="0">
+</t年代p一个n><t年代p一个n style="font-size: 6.25px; " x="7.389864" y="0">
1</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,232.14,45.3)">
<tspan style="font-size: 8.75px; " x="0" y="0">
)</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="2.9144161" y="0">
∩</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="8.3406563" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,246.17,43.11)">
<tspan style="font-size: 6.25px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,251.81,59.76)">
<tspan style="font-size: 12.50px; " x="20.83" y="2.51">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="26.690001" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="0" y="0">
c</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="5.551332" y="0">
o</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="11.802832" y="0">
年代</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,284,56.63)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="4.3497438" y="0">
+</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="10.344864" y="0">
1</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,299.22,59.76)">
<tspan style="font-size: 12.50px; " x="0" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="5.2012482" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,309.93,64.76)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,313.4,57.25)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="-133.19" y="38.91">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="-110.64" y="45.470001">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,192.25,4.6)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="2.7218721" y="0">
∈</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="8.7169924" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,205.17,2.42)">
<tspan style="font-size: 6.25px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,208.72,4.6)">
<tspan style="font-size: 8.75px; " x="0" y="0">
(</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="2.9144161" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,215.49,2.42)">
<tspan style="font-size: 6.25px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 6.25px; " x="3.107244" y="0">
+</t年代p一个n><t年代p一个n style="font-size: 6.25px; " x="7.389864" y="0">
1</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,226.5,4.6)">
<tspan style="font-size: 8.75px; " x="0" y="0">
)</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,231.5,18.34)">
<tspan style="font-size: 12.50px; " x="20.83" y="2.52">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="26.690001" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="0" y="0">
c</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="5.551332" y="0">
o</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="11.802832" y="0">
年代</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,263.69,15.21)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="4.3497438" y="0">
+</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="10.344864" y="0">
1</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,278.91,18.34)">
<tspan style="font-size: 12.50px; " x="0" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="5.2012482" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,289.62,15.21)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,292.84,15.82)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="7.9299998" y="-2.52">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,307.65,15.21)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="2.7218721" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,315.15,18.34)">
<tspan style="font-size: 12.50px; " x="0" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="152.72" y="-13.91">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="156.8835" y="-13.91">
2</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="163.13499" y="-13.91">
4</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="169.38651" y="-13.91">
)</t年代p一个n></text>
</g>
</g>
</svg></span>在哪里<年代vghe我ght=”16。6”我d="M167" style="vertical-align:-4.74141pt;width:53.849998px;" version="1.1" viewbox="0 0 53.849998 16.6" width="53.849998" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,16.6)">
<g transform="translate(72,-58.72)">
<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,-62.8,60.37)">
<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,-58.02,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n><t年代p一个n 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,-48.36,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="4.3497438" y="0">
+</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="10.344864" y="0">
1</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,-33.14,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
)</t年代p一个n></text>
</g>
</g>
</svg>,<年代vghe我ght=”16。6”我d="M168" style="vertical-align:-4.74141pt;width:49.912498px;" version="1.1" viewbox="0 0 49.912498 16.6" width="49.912498" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,16.6)">
<g transform="translate(72,-58.72)">
<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,-65.95,60.37)">
<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,-61.17,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
(</t年代p一个n><t年代p一个n 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,-51.51,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="4.3497438" y="0">
+</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="10.344864" y="0">
1</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,-36.29,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
)</t年代p一个n></text>
</g>
</g>
</svg>元素及其指标吗<年代vghe我ght=”10。7375" id="M169" style="vertical-align:-0.13794pt;width:8.6000004px;" version="1.1" viewbox="0 0 8.6000004 10.7375" width="8.6000004" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.7375)">
<g transform="translate(72,-63.41)">
<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></text>
</g>
</g>
</svg>最近的邻居的垃圾信息<年代vghe我ght=”11。375" id="M170" style="vertical-align:-3.49493pt;width:26.025px;" version="1.1" viewbox="0 0 26.025 11.375" width="26.025" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,11.375)">
<g transform="translate(72,-62.9)">
<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,-66.45,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="4.3497438" y="0">
+</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="10.344864" y="0">
1</t年代p一个n></text>
</g>
</g>
</svg>;相应地,<年代vghe我ght=”16。475” id="M171" style="vertical-align:-4.74141pt;width:16.25px;" version="1.1" viewbox="0 0 16.25 16.475" width="16.25" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,16.475)">
<g transform="translate(72,-58.82)">
<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></text>
<text transform="matrix(1,0,0,-1,-63.82,60.47)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
</g>
</g>
</svg>集群是一组垃圾短信<年代vghe我ght=”16。3375” id="M172" style="vertical-align:-4.74141pt;width:16.5875px;" version="1.1" viewbox="0 0 16.5875 16.3375" width="16.5875" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,16.3375)">
<g transform="translate(72,-58.93)">
<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>和<年代p一个ncl一个年代年代=”equation" id="eq11">
<svg height="38.575001" id="M173" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 38.575001" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,38.575)">
<g transform="translate(72,-41.14)">
<text transform="matrix(1,0,0,-1,147.3,53.45)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,152.87,50.32)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="2.7218721" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,163.84,53.45)">
<tspan style="font-size: 12.50px; " x="0" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="12.04" y="7.3299999">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="23.360001" y="-7.8499999">
1</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="39.576389" y="-7.8499999">
我</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="43.052223" y="-7.8499999">
f</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="51.379223" y="-7.8499999">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,220.73,58.17)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,227.42,61.3)">
<tspan style="font-size: 12.50px; " x="0" y="0">
∈</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="12.027886" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,247.85,58.17)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,252.63,61.3)">
<tspan style="font-size: 12.50px; " x="0" y="0">
,</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="-65.43" y="15.23">
0</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="-49.213608" y="15.23">
我</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="-45.737774" y="15.23">
f</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="-37.410778" y="15.23">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,220.73,42.94)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,227.42,46.07)">
<tspan style="font-size: 12.50px; " x="0" y="0">
∉</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="12.027886" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,247.85,42.94)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,252.63,46.07)">
<tspan style="font-size: 12.50px; " x="0" y="0">
。</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="215.24001" y="-7.3800001">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="219.4035" y="-7.3800001">
2</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="225.655" y="-7.3800001">
5</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="231.90649" y="-7.3800001">
)</t年代p一个n></text>
</g>
</g>
</svg></span></p>
<p>垃圾邮件消息<年代vghe我ght=”11。375" id="M174" style="vertical-align:-3.49493pt;width:26.025px;" version="1.1" viewbox="0 0 26.025 11.375" width="26.025" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,11.375)">
<g transform="translate(72,-62.9)">
<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,-66.45,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="4.3497438" y="0">
+</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="10.344864" y="0">
1</t年代p一个n></text>
</g>
</g>
</svg>属于这类<年代vghe我ght=”16。3375” id="M175" style="vertical-align:-4.74141pt;width:16.5875px;" version="1.1" viewbox="0 0 16.5875 16.3375" width="16.5875" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,16.3375)">
<g transform="translate(72,-58.93)">
<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>,的值<年代vghe我ght=”16。6”我d="M176" style="vertical-align:-4.74141pt;width:97.5625px;" version="1.1" viewbox="0 0 97.5625 16.6" width="97.5625" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,16.6)">
<g transform="translate(72,-58.72)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
年代</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="4.863667" y="0">
c</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="10.414999" y="0">
o</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="16.666498" y="0">
r</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="20.804993" y="0">
e</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="30.519823" y="0">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="34.683323" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,-31.76,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="4.3497438" y="0">
+</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="10.344864" y="0">
1</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,-16.54,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
,</t年代p一个n><t年代p一个n 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,-2.94,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,1.84,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
)</t年代p一个n></text>
</g>
</g>
</svg>是一个最大值。如果<年代vghe我ght=”16。6”我d="M177" style="vertical-align:-4.74141pt;width:125.1375px;" version="1.1" viewbox="0 0 125.1375 16.6" width="125.1375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,16.6)">
<g transform="translate(72,-58.72)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
年代</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="4.863667" y="0">
c</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="10.414999" y="0">
o</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="16.666498" y="0">
r</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="20.804993" y="0">
e</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="30.519823" y="0">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="34.683323" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,-31.76,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="4.3497438" y="0">
+</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="10.344864" y="0">
1</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,-16.54,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
,</t年代p一个n><t年代p一个n 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,-2.94,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,1.84,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">
)</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="7.6268301" y="0">
<</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="19.667219" y="0">
</t年代p一个n></text>
</g>
</g>
</svg>,那么垃圾邮件消息不属于任何集群<年代vghe我ght=”16。3375” id="M178" style="vertical-align:-4.74141pt;width:16.5875px;" version="1.1" viewbox="0 0 16.5875 16.3375" width="16.5875" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,16.3375)">
<g transform="translate(72,-58.93)">
<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>在这种情况下,一个新的集群<年代vghe我ght=”16。3375” id="M179" style="vertical-align:-4.74141pt;width:29.2125px;" version="1.1" viewbox="0 0 29.2125 16.3375" width="29.2125" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,16.3375)">
<g transform="translate(72,-58.93)">
<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><t年代p一个n style="font-size: 8.75px; " x="4.0084162" y="0">
+</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="10.003536" y="0">
1</t年代p一个n></text>
</g>
</g>
</svg>创建,<年代vghe我ght=”10。7375" id="M180" style="vertical-align:-0.13794pt;width:8.3125px;" version="1.1" viewbox="0 0 8.3125 10.7375" width="8.3125" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.7375)">
<g transform="translate(72,-63.41)">
<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></text>
</g>
</g>
</svg>是一个预定义的阈值。</p><h4gydF4y2Baid="knowledge-extraction-from-classes-using-summarization-technique">7所示。从类使用总结技术中提取知识</h4><p>gydF4y2Ba在这个阶段聚类后的消息和解决问题(<一个href=”#EEq8">8</一个>)- - - - - -(<gydF4y2Ba一个href=”#EEq11">11</一个>),有必要定义主题,集群的描述。接收信息集群,文档摘要方法。在我们的示例中,文件的垃圾短信属于相同的主题,在相同的集群。有必要把这些套垃圾短信的内容,删除不必要的信息和考虑相似和不同时刻的内容,并以浓缩的形式呈现最重要的信息。因此,本文中描述的multidocument总结方法(<一个href=”#B34">30.</一个>)可以从每个集群中找到有用的句子。自动创建的multidocument总结是一个过程的压缩版本的文档给用户有用的信息。在第一阶段,以定义主题部分,垃圾短信的集群是满意。在第二阶段为了定义忠实度值和提取有用的句子,不等了。这将确保为每个主题定义代表句子及其数量部分,避免冗余的总结。</p><p>gydF4y2Ba句子的代表性定义为它们之间的相似性度量和相应的集群重心,即少句子和相应的聚类质心之间的欧几里得距离意味着句子更具代表性。包括句子总结,他们范围以升序排序根据相似性措施相应的聚类质心。在本文中,每个集群由主题关闭消息。包含许多句子和一些消息,因此,形成集群的主要内容。其他主题可以提到不久完成的主要课题。因此,大量的句子在不同的集群是不同的。这种方法允许集群的最大覆盖的主要内容,并避免冗余。</p><p>一般来说,句子包括汇总的数量取决于压缩因子。压缩因子<年代vghe我ght=”13。3”我d="M181" style="vertical-align:-5.03984pt;width:33.837502px;" version="1.1" viewbox="0 0 33.837502 13.3" width="33.837502" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,13.3)">
<g transform="translate(72,-61.36)">
<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,-64.9,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">
c</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="3.8858881" y="0">
o</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="8.2618876" y="0">
米</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="15.05344" y="0">
p</t年代p一个n></text>
</g>
</g>
</svg>是由长度和消息摘要:<年代p一个ncl一个年代年代=”equation" id="eq12">
<svg height="34.775002" id="M182" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 34.775002" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,34.775)">
<g transform="translate(72,-44.18)">
<text transform="matrix(1,0,0,-1,156.08,55.19)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,163.13,52.06)">
<tspan style="font-size: 8.75px; " x="0" y="0">
c</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="3.8858881" y="0">
o</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="8.2618876" y="0">
米</t年代p一个n><t年代p一个n style="font-size: 8.75px; " x="15.044688" y="0">
p</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,186.52,55.19)">
<tspan style="font-size: 12.50px; " x="0" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="14.97" y="-8.2200003">
l</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="18.445833" y="-8.2200003">
e</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="23.997166" y="-8.2200003">
n</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="32.324165" y="-8.2200003">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="36.487663" y="-8.2200003">
年代</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="41.35133" y="-8.2200003">
u</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="47.602829" y="-8.2200003">
米</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="57.330166" y="-8.2200003">
米</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="67.057495" y="-8.2200003">
)</t年代p一个n></text>
<g>
<path d="m 199.75,58.32 59.73,0" 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,-1,199.75,46.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">
l</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="3.4758339" y="0">
e</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="9.0271664" y="0">
n</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="17.366667" y="0">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="21.530167" y="0">
E</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="29.169498" y="0">
- - - - - -</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="33.332996" y="0">
米</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="43.060333" y="0">
一个</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="48.611664" y="0">
我</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="52.087498" y="0">
l</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="55.563332" y="0">
)</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="268.12" y="-8.75">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="272.28351" y="-8.75">
2</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="278.535" y="-8.75">
6</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="284.7865" y="-8.75">
)</t年代p一个n></text>
</g>
</g>
</svg></span>,是一个主要因素影响的质量总结,<年代vghe我ght=”13。5625” id="M183" style="vertical-align:-2.21957pt;width:67.849998px;" version="1.1" viewbox="0 0 67.849998 13.5625" width="67.849998" 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><t年代p一个n style="font-size: 12.50px; " x="3.4758339" y="0">
e</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="9.0271664" y="0">
n</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="15.278666" y="0">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="19.442165" y="0">
年代</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="24.305832" y="0">
u</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="30.557331" y="0">
米</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="40.284664" y="0">
米</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="50.012001" y="0">
)</t年代p一个n></text>
</g>
</g>
</svg>,<年代vghe我ght=”13。5625” id="M184" style="vertical-align:-2.21957pt;width:72.175003px;" version="1.1" viewbox="0 0 72.175003 13.5625" width="72.175003" 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><t年代p一个n style="font-size: 12.50px; " x="3.4758339" y="0">
e</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="9.0271664" y="0">
n</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="15.278666" y="0">
(</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="19.442165" y="0">
E</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="27.081497" y="0">
- - - - - -</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="31.244997" y="0">
米</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="40.972332" y="0">
一个</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="46.523663" y="0">
我</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="49.999496" y="0">
l</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="53.47533" y="0">
)</t年代p一个n></text>
</g>
</g>
</svg>总结和消息的长度,相应。至于最小值的压缩因子,总结将短,主要部分的信息就会丢失。与此同时,在压缩的价值因素,总结将丰富;然而,它将包含无关紧要的句子。</p><p>gydF4y2Ba考虑上述的数量代表的句子<年代vghe我ght=”16。237499" id="M185" style="vertical-align:-4.74141pt;width:19.4px;" version="1.1" viewbox="0 0 19.4 16.237499" width="19.4" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,16.2375)">
<g transform="translate(72,-59.01)">
<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,-61.31,60.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
</g>
</g>
</svg>从每个集群已被选中<年代vghe我ght=”16。3375” id="M186" style="vertical-align:-4.74141pt;width:16.5875px;" version="1.1" viewbox="0 0 16.5875 16.3375" width="16.5875" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,16.3375)">
<g transform="translate(72,-58.93)">
<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>定义由以下公式计算:<年代p一个ncl一个年代年代=”equation" id="eq13">
<svg height="48.1875" id="M187" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 48.1875" width="700.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,48.1875)">
<g transform="translate(72,-33.45)">
<text transform="matrix(1,0,0,-1,93.33,49.6)">
<tspan style="font-size: 12.50px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,103.97,46.47)">
<tspan style="font-size: 8.75px; " x="0" y="0">
</t年代p一个n></text>
<text transform="matrix(1,0,0,-1,112.22,49.6)">
<tspan style="font-size: 12.50px; " x="34.950001" y="9.7299995">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="61.779999" y="-8.5299997">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="67.629997" y="-11.04">
</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="0" y="0">
=</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="12.027886" y="0">
我</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="16.191385" y="0">
N</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="25.218552" y="0">
T</t年代p一个n><t年代p一个n style="font-size: 12.50px; " x="44.41" y="-11.04">
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]</t年代p一个n></text>
</g>
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</svg>意味着整个部分。</p><h4gydF4y2Baid="conclusion-and-future-work">8。结论和未来的工作</h4><p>gydF4y2Ba摘要聚类的垃圾短信收集形式化的问题。之间的相似性准则函数是一个最大化消息集群,这被定义为<年代vghe我ght=”10。7375" id="M192" style="vertical-align:-0.13794pt;width:8.6000004px;" version="1.1" viewbox="0 0 8.6000004 10.7375" width="8.6000004" xmlns="http://www.w3.org/2000/svg">
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</g>
</svg>最近邻居算法。遗传算法包括罚函数解决聚类问题。新分类垃圾短信来基地的反垃圾邮件系统。从划分类分类后,知识提取。Multidocument总结方法申请从集群中提取知识。从集群和主题提取的信息依赖的垃圾短信的来源也可以帮助检测社交网络的垃圾邮件发送者是否存在。</p><p>gydF4y2Ba虽然有很多工作提供电子邮件进入垃圾邮件或nonspam分类方法,没有一个以前的科学研究和实验研究显示,分类垃圾短信分成主题组。在这种情况下,它是决定实验这个问题在未来的作品,尤其是显示效率本文中使用的聚类方法和遗传算法与他人相比。</p><h4gydF4y2Baid="acknowledgment">承认</h4><p>gydF4y2Ba作者想表达他们的感谢匿名评论者的非常有用的意见和建议。</p></gydF4y2Badiv>
<div class="xml-content">
<h4 class="references" id="references">引用</h4><ol><l我我d="B1">赛门铁克,”垃圾邮件和网络钓鱼的状态。2010年月度报告。”<一个t一个rget=”_blank" href="http://symantec.com/content/en/us/enterprise/other_resources/b-state_of_spam_and_phishing_report_09-2010.en-us.pdf">http://symantec.com/content/en/us/enterprise/other_resources/b state_of_spam_and_phishing_report_09 - 2010. - en - us.pdf</一个>。<年代p一个ncl一个年代年代=”refl我nks">视图:<一个href=”http年代://scholar.google.com/scholar_lookup?title=State%20of%20spam%20and%20phishing.%20A%20monthly%20report%202010&author= Symantec" target="_blank">谷歌学术搜索</一个></年代p一个n></li>
<li id="B2">摩天的研究,“垃圾邮件是2009年压平我们的成本预测,”<一个t一个rget=”_blank" href="http://www.ferris.com/2009/01/28/cost-of-spam-is-flattening-our-2009-predictions/">http://www.ferris.com/2009/01/28/cost -的-垃圾邮件是我们- 2009 predictions/ -压扁</一个>。<年代p一个ncl一个年代年代=”refl我nks">视图:<一个href=”http年代://scholar.google.com/scholar_lookup?title=Cost%20of%20spam%20is%20flattening–our%202009%20predictions&author= Ferris Research" target="_blank">谷歌学术搜索</一个></年代p一个n></li>
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<li id="B4">h . Wen-Feng和c . Te-Min“增量基于集群的垃圾邮件过滤方法,”<我>专家系统与应用程序</我>,34卷,不。3、1599 - 1608年,2008页。<年代p一个ncl一个年代年代=”refl我nks">视图:<一个href=”http年代://doi.org/10.1016/j.eswa.2007.01.018">出版商的网站</一个><年代p一个ncl一个年代年代="sep">|</年代p一个n><一个href=”https://scholar.google.com/scholar_lookup?title=An%20incremental%20cluster-based%20approach%20to%20spam%20filtering&author=H. Wen-Feng &author=C. Te-Min&publication_year=2008" target="_blank">谷歌学术搜索</一个></年代p一个n></li>
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<li id="B7">美国Minoru和Sh。),“垃圾邮件检测使用文本聚类”<我>虚拟世界的国际会议(CW 05)</我>新加坡,页316 - 319年,2005年11月。<年代p一个ncl一个年代年代=”refl我nks">视图:<一个href=”http年代://doi.org/10.1109/CW.2005.83">出版商的网站</一个><年代p一个ncl一个年代年代="sep">|</年代p一个n><一个href=”https://scholar.google.com/scholar_lookup?title=Spam%20detection%20using%20text%20clustering&author=S. Minoru &author=Sh. Hiroyuki" target="_blank">谷歌学术搜索</一个></年代p一个n></li>
<li id="B8">c .保罗l . Clotilde s佩德罗et al .,“共生为个性化的垃圾邮件过滤,数据挖掘”<我>程序的Web智能和智能代理技术国际会议上,(IEEE / WIC / ACM)</我>,第156 - 149页,2009年。<年代p一个ncl一个年代年代=”refl我nks">视图:<一个href=”http年代://scholar.google.com/scholar_lookup?title=Symbiotic%20data%20mining%20for%20personalized%20spam%20filtering&author=C. Paulo&author=L. Clotilde&author=S. Pedro et al." target="_blank">谷歌学术搜索</一个></年代p一个n></li>
<li id="B9">Kh。艾哈迈德,“基于内容的垃圾邮件过滤技术的概述,<我>我nfor米一个t我c一个</gydF4y2Ba我>没有,卷。31日。3、269 - 277年,2007页。<年代p一个ncl一个年代年代=”refl我nks">视图:<一个href=”http年代://scholar.google.com/scholar_lookup?title=An%20overview%20of%20content-based%20spam%20filtering%20techniques&author=Kh. Ahmed&publication_year=2007" target="_blank">谷歌学术搜索</一个></年代p一个n></li>
<li id="B10">s . Nazirova”机制分类的文本在垃圾收集的垃圾短信模式基地,”<我>诉讼第三控制论和信息问题国际会议上,10 (PCI)</我>,2卷,第209 - 206页,2010年。<年代p一个ncl一个年代年代=”refl我nks">视图:<一个href=”http年代://scholar.google.com/scholar_lookup?title=Mechanism%20of%20classification%20of%20text%20spam%20messages%20collected%20in%20spam%20pattern%20bases&author=S. Nazirova" target="_blank">谷歌学术搜索</一个></年代p一个n></li>
<li id="B11">w·劳伦“垃圾邮件战争”,<我>ACM的通信</我>,46卷,不。8,136年,页2003。<年代p一个ncl一个年代年代=”refl我nks">视图:<一个href=”http年代://doi.org/10.1145/859670.859703">出版商的网站</一个><年代p一个ncl一个年代年代="sep">|</年代p一个n><一个href=”https://scholar.google.com/scholar_lookup?title=Spam%20wars&author=W. Lauren&publication_year=2003" target="_blank">谷歌学术搜索</一个></年代p一个n></li>
<li id="B12">Pawel和m . Jacek”打击垃圾邮件战争:re-mailer方法与限制性混叠,”<我>ACM网上交易技术</我>,4卷,不。1、外墙面,2004页。<年代p一个ncl一个年代年代=”refl我nks">视图:<一个href=”http年代://scholar.google.com/scholar_lookup?title=Fighting%20the%20spam%20wars:%20a%20re-mailer%20approach%20with%20restrictive%20aliasing&author=G. Pawel &author=M. Jacek&publication_year=2004" target="_blank">谷歌学术搜索</一个></年代p一个n></li>
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<li id="B18">美国诉Mochenov、a . m . Blednov和美国a . Lugovskikh“文本的向量表示信息,”<我>程序的国际科学会议材料</我>,第139 - 131页,2006年。<年代p一个ncl一个年代年代=”refl我nks">视图:<一个href=”http年代://scholar.google.com/scholar_lookup?title=Vector%20representation%20of%20the%20textual%20information&author=S. V. Mochenov&author=A. M. Blednov&author=&author=U. A. Lugovskikh" target="_blank">谷歌学术搜索</一个></年代p一个n></li>
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<li id="B20">Vishal和g . g . Si Lehal”,文本挖掘技术和应用的调查。”<我>新兴技术在网络情报杂志》上</我>,1卷,不。1、60 - 76、2009页。<年代p一个ncl一个年代年代=”refl我nks">视图:<一个href=”http年代://scholar.google.com/scholar_lookup?title=A%20survey%20of%20text%20mining%20techniques%20and%20applications&author=G. Vishal &author=G. Si Lehal&publication_year=2009" target="_blank">谷歌学术搜索</一个></年代p一个n></li>
<li id="B25">李x n .你们”,监督聚类和分类算法与混合变量、挖掘数据”<我>我EEE系统,人,控制论的一部分</我>,36卷,不。2、396 - 406年,2006页。<年代p一个ncl一个年代年代=”refl我nks">视图:<一个href=”http年代://doi.org/10.1109/TSMCA.2005.853501">出版商的网站</一个><年代p一个ncl一个年代年代="sep">|</年代p一个n><一个href=”https://scholar.google.com/scholar_lookup?title=A%20supervised%20clustering%20and%20classification%20algorithm%20for%20mining%20data%20with%20mixed%20variables&author=X. Li &author=N. Ye&publication_year=2006" target="_blank">谷歌学术搜索</一个></年代p一个n></li>
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<li id="B29">d . r . Tauritz j . n .角,即g . Sprinkhuizen-Kuyper“使用进化计算自适应信息过滤,”<我>信息科学</我>,卷122,不。2、121 - 140年,2000页。<年代p一个ncl一个年代年代=”refl我nks">视图:<一个href=”http年代://doi.org/10.1016/S0020-0255(99)00123-1">出版商的网站</一个><年代p一个ncl一个年代年代="sep">|</年代p一个n><一个href=”https://scholar.google.com/scholar_lookup?title=Adaptive%20Information%20Filtering%20using%20evolutionary%20computation&author=D. R. Tauritz&author=J. N. Kok&author=&author=I. G. Sprinkhuizen-Kuyper&publication_year=2000" target="_blank">谷歌学术搜索</一个></年代p一个n></li>
<li id="B30">j . Lijuan f .力平,“文本分类基于蚁群优化”<我>学报》第三届国际会议信息和计算,(ICIC 10)</我>姜愫,页229 - 232年,中国,2010年6月。<年代p一个ncl一个年代年代=”refl我nks">视图:<一个href=”http年代://doi.org/10.1109/ICIC.2010.242">出版商的网站</一个><年代p一个ncl一个年代年代="sep">|</年代p一个n><一个href=”https://scholar.google.com/scholar_lookup?title=Text%20classification%20based%20on%20Ant%20Colony%20Optimization&author=J. Lijuan &author=F. Liping" target="_blank">谷歌学术搜索</一个></年代p一个n></li>
<li id="B31">e . r . Hruschka r . j . g . b . Campello A . A . Freitas和卡瓦略·A·c·p·l·f·“进化算法聚类的调查。”<我>我EEE系统,人与控制论部分C</我>,39卷,不。2、133 - 155年,2009页。<年代p一个ncl一个年代年代=”refl我nks">视图:<一个href=”http年代://doi.org/10.1109/TSMCC.2008.2007252">出版商的网站</一个><年代p一个ncl一个年代年代="sep">|</年代p一个n><一个href=”https://scholar.google.com/scholar_lookup?title=A%20survey%20of%20evolutionary%20algorithms%20for%20clustering&author=E. R. Hruschka&author=R. J. G. B. Campello&author=A. A. Freitas&author=&author=A. C. P. L. F. de Carvalho&publication_year=2009" target="_blank">谷歌学术搜索</一个></年代p一个n></li>
<li id="B32">r . m . Alguliev和r . m . Aliguliyev“快速遗传算法求解聚类的文本文档的问题,“<我>人工智能</我>,3卷,第707 - 698页,2005年(俄罗斯)。<年代p一个ncl一个年代年代=”refl我nks">视图:<一个href=”http年代://scholar.google.com/scholar_lookup?title=Fast%20genetic%20algorithm%20for%20solving%20of%20the%20clustering%20problem%20of%20text%20documents&author=R. M. Alguliev &author=R. M. Aliguliyev&publication_year=2005" target="_blank">谷歌学术搜索</一个></年代p一个n></li>
<li id="B33">r·格米n . Sulaiman h·易卜拉欣et al .,“回顾:准确性使用遗传算法优化集群合奏中,“<我>人工智能审查</我>,35卷,不。4、287 - 318年,2011页。<年代p一个ncl一个年代年代=”refl我nks">视图:<一个href=”http年代://scholar.google.com/scholar_lookup?title=A%20review:%20accuracy%20optimization%20in%20clustering%20ensembles%20using%20genetic%20algorithms&author=R. Ghaemi&author=N. Sulaiman&author=H. Ibrahim et al.&publication_year=2011" target="_blank">谷歌学术搜索</一个></年代p一个n></li>
<li id="B34">r . m . Alguliev和r . m . Aliguliyev”,一个新的文本文档总结方法和评价三个方面的分类结果,“<我>电信</我>,3卷,页7 - 16,2006(俄罗斯)。<年代p一个ncl一个年代年代=”refl我nks">视图:<一个href=”http年代://scholar.google.com/scholar_lookup?title=A%20new%20summarization%20method%20of%20text%20documents%20and%20evaluation%20of%20classification%20result%20in%20three%20aspects&author=R. M. Alguliev &author=R. M. Aliguliyev&publication_year=2006" target="_blank">谷歌学术搜索</一个></年代p一个n></li>
<li id="B35">r . m . Alguliev和r . m . Aliguliyev“有效的文本文档的总结方法,”<我>学报IEEE /每各月ACM国际会议网络情报,(WI 05)</我>20.05年9月,页264 - 271。<年代p一个ncl一个年代年代=”refl我nks">视图:<一个href=”http年代://doi.org/10.1109/WI.2005.57">出版商的网站</一个><年代p一个ncl一个年代年代="sep">|</年代p一个n><一个href=”https://scholar.google.com/scholar_lookup?title=Effective%20summarization%20method%20of%20text%20documents&author=R. M. Alguliev &author=R. M. Aliguliyev" target="_blank">谷歌学术搜索</一个></年代p一个n></li>
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<li id="B37">r . m . Alguliev和s . a . Nazirova”机制的形成和实现的反垃圾邮件政策,”<我>电信</我>》12卷,中山,2009页。(俄罗斯)。<年代p一个ncl一个年代年代=”refl我nks">视图:<一个href=”http年代://scholar.google.com/scholar_lookup?title=Mechanism%20of%20forming%20and%20realization%20of%20anti-spam%20policy&author=R. M. Alguliev &author=S. A. Nazirova&publication_year=2009" target="_blank">谷歌学术搜索</一个></年代p一个n></li>
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<li id="B41">t . Witkovski s Elzway, a . Antchak”设计遗传算法的主要业务为生产调度、”<我>自动化和信息科学杂志》上</我>,35卷,不。12日- 58,2003页。<年代p一个ncl一个年代年代=”refl我nks">视图:<一个href=”http年代://scholar.google.com/scholar_lookup?title=Designing%20of%20the%20main%20operations%20of%20genetic%20algorithms%20for%20production%20scheduling&author=T. Witkovski&author=S. Elzway&author=&author=A. Antchak&publication_year=2003" target="_blank">谷歌学术搜索</一个></年代p一个n></li>
<li id="B42">r . m . Alguliev和r . m . Alyguliev遗传方法最优分配的任务在分布式系统中,“<我>电信和无线电工程</我>,卷64,不。2、97 - 108年,2005页。<年代p一个ncl一个年代年代=”refl我nks">视图:<一个href=”http年代://doi.org/10.1615/TelecomRadEng.v64.i2.20">出版商的网站</一个><年代p一个ncl一个年代年代="sep">|</年代p一个n><一个href=”https://scholar.google.com/scholar_lookup?title=A%20genetic%20approach%20to%20quasi-optimal%20assignment%20of%20tasks%20in%20the%20distributed%20system&author=R. M. Alguliev &author=R. M. Alyguliev&publication_year=2005" target="_blank">谷歌学术搜索</一个></年代p一个n></li>
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<span><img alt="" class="sc-EHOje jOLhQl sc-bfYoXt cGuwDn" title="" role="presentation" src="data:image/svg+xml;base64,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" height="24"><span class="sc-dRFtgE jrsDZP">下载其他格式</年代p一个n><年代p一个ncl一个年代s="sc-gkFcWv gWTCXQ">更多的</年代p一个n></年代p一个n>
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ePub</gydF4y2Badiv><img alt="" class="sc-EHOje jOLhQl sc-bfYoXt cGuwDn" title="" role="presentation" src="data:image/svg+xml;base64,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" height="24"></a>
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<div class="sc-hBbWxd kdRRST">
<div class="sc-dyGzUR cHatnS">
<div>
的观点<年代p一个n>8740年年</年代p一个n></div>
<div>
下载<年代p一个n>2870年年</年代p一个n></div>
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<div>
<div class="sc-drKuOJ kxdGAZ">
<span class="__dimensions_badge_embed__" data-doi="10.1155/2011/416308" data-style="small_circle"></span>引用</gydF4y2Badiv>
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<h3 class="sc-Rmtcm hNPrIr">分享文章</h3><ulcl一个年代年代=”年代c-hzDkRC bnbfTS">
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