{"title":"模糊多重集","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":"{\"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}","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}
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.