商空间中相似关联度的等价类及关联度的性质

Yong Wei, Kefang Zeng
{"title":"商空间中相似关联度的等价类及关联度的性质","authors":"Yong Wei, Kefang Zeng","doi":"10.1109/GSIS.2015.7301848","DOIUrl":null,"url":null,"abstract":"According to the concept of complete correlation, based on similarity incidence degree, it is proved that complete correlation is an equivalence relation. At the same time, the convergence of quotient space under the condition of the classification in this equivalence relation is discussed. And it is proved that the incidence degrees between similarity classes in quotient space are closeness incidence degrees. Finally, a new method of similarity incidence degree deriving the closeness incidence degree is given in this paper.","PeriodicalId":246110,"journal":{"name":"2015 IEEE International Conference on Grey Systems and Intelligent Services (GSIS)","volume":"52 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-10-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The equivalence classes of similarity incidence degree and properties of incidence degree in the quotient space\",\"authors\":\"Yong Wei, Kefang Zeng\",\"doi\":\"10.1109/GSIS.2015.7301848\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"According to the concept of complete correlation, based on similarity incidence degree, it is proved that complete correlation is an equivalence relation. At the same time, the convergence of quotient space under the condition of the classification in this equivalence relation is discussed. And it is proved that the incidence degrees between similarity classes in quotient space are closeness incidence degrees. Finally, a new method of similarity incidence degree deriving the closeness incidence degree is given in this paper.\",\"PeriodicalId\":246110,\"journal\":{\"name\":\"2015 IEEE International Conference on Grey Systems and Intelligent Services (GSIS)\",\"volume\":\"52 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-10-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2015 IEEE International Conference on Grey Systems and Intelligent Services (GSIS)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/GSIS.2015.7301848\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2015 IEEE International Conference on Grey Systems and Intelligent Services (GSIS)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/GSIS.2015.7301848","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0

摘要

根据完全相关的概念,基于相似关联度,证明了完全相关是一种等价关系。同时,讨论了在该等价关系的分类条件下商空间的收敛性。并证明了商空间中相似类之间的关联度为紧密关联度。最后,本文给出了一种新的相似关联度的推导方法。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
The equivalence classes of similarity incidence degree and properties of incidence degree in the quotient space
According to the concept of complete correlation, based on similarity incidence degree, it is proved that complete correlation is an equivalence relation. At the same time, the convergence of quotient space under the condition of the classification in this equivalence relation is discussed. And it is proved that the incidence degrees between similarity classes in quotient space are closeness incidence degrees. Finally, a new method of similarity incidence degree deriving the closeness incidence degree is given in this paper.
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
自引率
0.00%
发文量
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:604180095
Book学术官方微信