{"title":"直觉模糊集到新全称的推广","authors":"G. Çuvalcıoğlu, S. Yılmaz","doi":"10.5899/2014/JFSVA-00181","DOIUrl":null,"url":null,"abstract":"Atanassov [1] defined the union, intersection and inclusion of intuitionistic fuzzy sets on the same universal. In [2], Riecan and Atanassov defined new intuitionistic fuzzy sets on different universals and they examined the union, intersection and inclusion of these sets. In this paper we gave counterexamples for the results of union, intersection and inclusion of these sets. For these situations we defined new intuitionistic fuzzy sets. In addition, we studied some properties of new intuitionistic fuzzy sets to be considered in their new universals.","PeriodicalId":308518,"journal":{"name":"Journal of Fuzzy Set Valued Analysis","volume":"39 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Extension of Intuitionistic Fuzzy Sets to New Universal\",\"authors\":\"G. Çuvalcıoğlu, S. Yılmaz\",\"doi\":\"10.5899/2014/JFSVA-00181\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Atanassov [1] defined the union, intersection and inclusion of intuitionistic fuzzy sets on the same universal. In [2], Riecan and Atanassov defined new intuitionistic fuzzy sets on different universals and they examined the union, intersection and inclusion of these sets. In this paper we gave counterexamples for the results of union, intersection and inclusion of these sets. For these situations we defined new intuitionistic fuzzy sets. In addition, we studied some properties of new intuitionistic fuzzy sets to be considered in their new universals.\",\"PeriodicalId\":308518,\"journal\":{\"name\":\"Journal of Fuzzy Set Valued Analysis\",\"volume\":\"39 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Fuzzy Set Valued Analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5899/2014/JFSVA-00181\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Fuzzy Set Valued Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5899/2014/JFSVA-00181","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Extension of Intuitionistic Fuzzy Sets to New Universal
Atanassov [1] defined the union, intersection and inclusion of intuitionistic fuzzy sets on the same universal. In [2], Riecan and Atanassov defined new intuitionistic fuzzy sets on different universals and they examined the union, intersection and inclusion of these sets. In this paper we gave counterexamples for the results of union, intersection and inclusion of these sets. For these situations we defined new intuitionistic fuzzy sets. In addition, we studied some properties of new intuitionistic fuzzy sets to be considered in their new universals.
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