{"title":"直觉模糊集的t-下水平集和t-上水平集","authors":"Ü. Deniz","doi":"10.7546/nifs.2022.28.4.375-380","DOIUrl":null,"url":null,"abstract":"In this paper we give the definitions of t-lower level set (Lt(A)) and t-upper level set (Ut(A)) of an Intuitionistic fuzzy set. [1] A t-lower level set is defined by giving a lower boundary on μA(x) + νA(x). A t-upper level set is defined by giving an upper boundary on μA(x) + νA(x). If A is an Intuitionistic fuzzy set of X, then Lt(A) and Ut(A) are subsets of X. In this paper we give some theorems by using t-lower level sets and t-upper level sets and prove them.","PeriodicalId":433687,"journal":{"name":"Notes on Intuitionistic Fuzzy Sets","volume":"11 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"t-Lower level set and t-upper level set of an intuitionistic fuzzy set\",\"authors\":\"Ü. Deniz\",\"doi\":\"10.7546/nifs.2022.28.4.375-380\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we give the definitions of t-lower level set (Lt(A)) and t-upper level set (Ut(A)) of an Intuitionistic fuzzy set. [1] A t-lower level set is defined by giving a lower boundary on μA(x) + νA(x). A t-upper level set is defined by giving an upper boundary on μA(x) + νA(x). If A is an Intuitionistic fuzzy set of X, then Lt(A) and Ut(A) are subsets of X. In this paper we give some theorems by using t-lower level sets and t-upper level sets and prove them.\",\"PeriodicalId\":433687,\"journal\":{\"name\":\"Notes on Intuitionistic Fuzzy Sets\",\"volume\":\"11 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-12-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Notes on Intuitionistic Fuzzy Sets\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.7546/nifs.2022.28.4.375-380\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Notes on Intuitionistic Fuzzy Sets","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7546/nifs.2022.28.4.375-380","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
t-Lower level set and t-upper level set of an intuitionistic fuzzy set
In this paper we give the definitions of t-lower level set (Lt(A)) and t-upper level set (Ut(A)) of an Intuitionistic fuzzy set. [1] A t-lower level set is defined by giving a lower boundary on μA(x) + νA(x). A t-upper level set is defined by giving an upper boundary on μA(x) + νA(x). If A is an Intuitionistic fuzzy set of X, then Lt(A) and Ut(A) are subsets of X. In this paper we give some theorems by using t-lower level sets and t-upper level sets and prove them.
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