粒度计算的模型研究

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摘要·····················，················································，············，··································……I
Abstra以···························································，····，·················································……111
图索引·········，·········································································，·····························……VH
表索引····························，························，·····························································……IX
目录·····················································，···········································，·················……Xl
第一章绪论··········································，···························································……1
势 1.1引一言····························，··········································································……二
圣1.2粒度计算的产生与发展····································，···························，·······一2
扒.3粒度计算的主要理论·····································································...……，…3
夸1.3.1粒度计算的主要理论·······4··，······················································……3
夸1.3.2三种理论间的关系·····································································……4
扒.4本文的主要内容··································，·························，··……，······.........……8
第二章粒度计算基础······················，··································，·····························..……11
芍2.1粒度的描述····················································，······································……11
夸2.1.1问题的提出···············································，·······························……n
芬 2.1.2粒度的描述··································，···，··，·····································……11
犯.1.3粒度的模型···············，·······························································……巧
夸2.2粒的基本性质················································，·············，······················……18
胆·2.1粒的基本定义···········4···············································，··········.....……18
犯.2.2粒的基本性质·································································.··.......……20
芍2.3粒的度量··················，······················································，···················……22
芬2.3.1粒度······················································，····································……22
芍2.3.2细度····································，······················································……29
芍2.3.3粒度嫡····，··················································································……33
虽2.3.4无限集上的粒的度量··············，·······，········································……36
县2.4本章小结·····························································································……38
第三章粒的基本运算·····················································，···································……41
芍3.1关系矩阵······································‘··················································，···……41
夸3.1.1关系矩阵及其性质·················································，·················……41
那.1.2模糊等价关系··········……，’’·········································，··....···.....……42
笋.2贴近度和差异度·······························································...·4.............……44
夸3.2.1粒与关系矩阵····························································，··············一44
;3.2.2贴近度··········，···········································································.……45
夸3.2.3差异度·······················································································……47
;3.3粒的基本运算·····················································································……51
夸3.3.1粒的商交·····················，················，············································……52
荟3.3.2粒的商并···················································································……53
芬3.3.3粒的商非和商差·······················，···············································……55
夸3.3.4知识空间···················································································……57
93.4本章小结················，········································································，···……61
第四章粒度空间·································································································……63
抖.1粒度空间的构成································································.··.......·......……63
94.1.1商粒因的构成································································……，...……63
料.1.2商结构〔刀的构成······································································……66
歼.1.3商属性田的构成·············································~·······················……68
料.2基本运算·······································，·····················································……69
抖.2.1商运算与商约束··············································，························……69
夸4.2.2合成·····················，·············································，·······················……71
料.3粒度空间簇·························································································……73
科:31基本原理···············································································，···……73
夸4.3.2有结构的知识空间··············································，····················……74
夸4.4本章小结········································，······················，·····························……78
第五章粒度计算的应用························，···················································.........……81
夸5.1时间序列的粒度分析··········~·····························································……81
谷5.1.1引言·，·························································································……81
扣.1.2马尔科夫链的性质····，·····················································，········……82
扑.1.2粒度分析法···········································································....……83
夸5.1.4马尔科夫链的粒度分析与隐马尔科夫模型的关系···············……90
95.1.5小结···························································································……92
荟5，2基于构造性学习方法的AvE局部模型划分····································……92
芬5.2.1引言··························································································……92
虽5.2.2构造性学习方法简介·······························································……93
芍  5.2.3AVE局部模型划分·································································……97
荟5.2.4小结·············4·········································································……102
势5.3本章小结······························4············，··，············································……103
第六章总结与展望························，·······································，··························……105
势6.飞本文的主要贡献与创新点····································，······················-···……1沥
怪6.2进一步的研究工作························，························，·························一107
参考文献················，···········、········一·············、，······，··········································……109
致谢···············，··································································一·········，······、·······……119
攻读博士期间科研工作及发表论文·································································一121

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