{"title":"基于凸模糊集伪最高交点集的二类模糊集的运算","authors":"H. Tahayori, A. Sadeghian, A. Visconti","doi":"10.1109/NAFIPS.2010.5548213","DOIUrl":null,"url":null,"abstract":"One of the main burdens of using general type-2 fuzzy sets relates to the cost of their basic operations. In this paper we will discuss how the set of pseudo highest intersection points of two convex fuzzy sets can be used to provide algorithms for performing union and intersection operations on convex type-2 fuzzy sets with min and product t-norm and max t-conorm.","PeriodicalId":394892,"journal":{"name":"2010 Annual Meeting of the North American Fuzzy Information Processing Society","volume":"357 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"12","resultStr":"{\"title\":\"Operations on type-2 fuzzy sets based on the set of pseudo-highest intersection points of convex fuzzy sets\",\"authors\":\"H. Tahayori, A. Sadeghian, A. Visconti\",\"doi\":\"10.1109/NAFIPS.2010.5548213\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"One of the main burdens of using general type-2 fuzzy sets relates to the cost of their basic operations. In this paper we will discuss how the set of pseudo highest intersection points of two convex fuzzy sets can be used to provide algorithms for performing union and intersection operations on convex type-2 fuzzy sets with min and product t-norm and max t-conorm.\",\"PeriodicalId\":394892,\"journal\":{\"name\":\"2010 Annual Meeting of the North American Fuzzy Information Processing Society\",\"volume\":\"357 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-07-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"12\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2010 Annual Meeting of the North American Fuzzy Information Processing Society\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/NAFIPS.2010.5548213\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 Annual Meeting of the North American Fuzzy Information Processing Society","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/NAFIPS.2010.5548213","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Operations on type-2 fuzzy sets based on the set of pseudo-highest intersection points of convex fuzzy sets
One of the main burdens of using general type-2 fuzzy sets relates to the cost of their basic operations. In this paper we will discuss how the set of pseudo highest intersection points of two convex fuzzy sets can be used to provide algorithms for performing union and intersection operations on convex type-2 fuzzy sets with min and product t-norm and max t-conorm.