{"title":"Fuzzy multisets","authors":"A. Ramer, Chien-Chung Wang","doi":"10.1109/AFSS.1996.583653","DOIUrl":null,"url":null,"abstract":"We propose a design based on extending the notion of a fuzzy set to a fuzzy multiset. As the concept of fuzzy set is itself a generalization of a standard set notion, any further generalization should be carefully motivated. We concentrate on two reasons, the first one being the continuity of the fuzzy arithmetic, the other a virtual necessity for the otherwise elaborate structures in approximating continuous fuzzy sets by the finite ones.","PeriodicalId":197019,"journal":{"name":"Soft Computing in Intelligent Systems and Information Processing. Proceedings of the 1996 Asian Fuzzy Systems Symposium","volume":"15 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"21","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Soft Computing in Intelligent Systems and Information Processing. Proceedings of the 1996 Asian Fuzzy Systems Symposium","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/AFSS.1996.583653","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 21
Abstract
We propose a design based on extending the notion of a fuzzy set to a fuzzy multiset. As the concept of fuzzy set is itself a generalization of a standard set notion, any further generalization should be carefully motivated. We concentrate on two reasons, the first one being the continuity of the fuzzy arithmetic, the other a virtual necessity for the otherwise elaborate structures in approximating continuous fuzzy sets by the finite ones.
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