{"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}
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.