{"title":"用Zadeh分离定理计算二类模糊集上的操作","authors":"H. Tahayori, A. Sadeghian","doi":"10.1109/FUZZ-IEEE.2017.8015722","DOIUrl":null,"url":null,"abstract":"Processing type-2 fuzzy sets is more demanding than processing interval type-2 fuzzy sets or type-1 fuzzy sets. In this paper we propose a method for calculating union and intersection operations using min t-norm and max t-conorm on general type-2 fuzzy sets. The proposed method is based on Zadeh's separation theorem and though is straightforward. The important feature of the algorithm is its simplicity and applicability on the type-2 fuzzy sets with convex membership grades.","PeriodicalId":408343,"journal":{"name":"2017 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","volume":"33 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2017-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":"{\"title\":\"Zadeh's separation theorem to calculate operations on type-2 fuzzy sets\",\"authors\":\"H. Tahayori, A. Sadeghian\",\"doi\":\"10.1109/FUZZ-IEEE.2017.8015722\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Processing type-2 fuzzy sets is more demanding than processing interval type-2 fuzzy sets or type-1 fuzzy sets. In this paper we propose a method for calculating union and intersection operations using min t-norm and max t-conorm on general type-2 fuzzy sets. The proposed method is based on Zadeh's separation theorem and though is straightforward. The important feature of the algorithm is its simplicity and applicability on the type-2 fuzzy sets with convex membership grades.\",\"PeriodicalId\":408343,\"journal\":{\"name\":\"2017 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)\",\"volume\":\"33 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2017-07-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2017 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/FUZZ-IEEE.2017.8015722\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2017 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/FUZZ-IEEE.2017.8015722","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Zadeh's separation theorem to calculate operations on type-2 fuzzy sets
Processing type-2 fuzzy sets is more demanding than processing interval type-2 fuzzy sets or type-1 fuzzy sets. In this paper we propose a method for calculating union and intersection operations using min t-norm and max t-conorm on general type-2 fuzzy sets. The proposed method is based on Zadeh's separation theorem and though is straightforward. The important feature of the algorithm is its simplicity and applicability on the type-2 fuzzy sets with convex membership grades.
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