{"title":"Relationship between similarity measure and entropy of interval type-2 fuzzy sets","authors":"Xiang Zhang, Gao Zheng","doi":"10.1109/FSKD.2013.6816174","DOIUrl":null,"url":null,"abstract":"The similarity measure and entropy of fuzzy sets are two important fuzzy measures in fuzzy logic theory and it is significant to research their relationship. In this paper, we mainly discuss the relationship between the similarity measure and entropy of interval type-2 fuzzy sets (IT2 FSs) proposed by Zheng et al., and give two Theorems and a Corollary that can reflect the mutual conversion relationship between two indexes. These conclusions have extensive practicability in many fields.","PeriodicalId":368964,"journal":{"name":"2013 10th International Conference on Fuzzy Systems and Knowledge Discovery (FSKD)","volume":"145 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2013-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2013 10th International Conference on Fuzzy Systems and Knowledge Discovery (FSKD)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/FSKD.2013.6816174","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
The similarity measure and entropy of fuzzy sets are two important fuzzy measures in fuzzy logic theory and it is significant to research their relationship. In this paper, we mainly discuss the relationship between the similarity measure and entropy of interval type-2 fuzzy sets (IT2 FSs) proposed by Zheng et al., and give two Theorems and a Corollary that can reflect the mutual conversion relationship between two indexes. These conclusions have extensive practicability in many fields.
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