{"title":"On the topological properties of intuitionistic fuzzy rough sets","authors":"Renbing Lin, Jiyi Wang","doi":"10.1109/GRC.2009.5255088","DOIUrl":null,"url":null,"abstract":"This paper is devoted to the discussion of the relationship between intuitionistic fuzzy rough set models and intuitionistic fuzzy topologies on a finite universe. The IFT Condition for intuitionistic fuzzy topology is proposed. It is proved that the set of all lower approximation sets based on a reflexive and transitive intuitionsitic fuzzy relation consists of a intuitionistic fuzzy topology which satisfies IFT Condition.","PeriodicalId":388774,"journal":{"name":"2009 IEEE International Conference on Granular Computing","volume":"279 1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2009-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 IEEE International Conference on Granular Computing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/GRC.2009.5255088","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
This paper is devoted to the discussion of the relationship between intuitionistic fuzzy rough set models and intuitionistic fuzzy topologies on a finite universe. The IFT Condition for intuitionistic fuzzy topology is proposed. It is proved that the set of all lower approximation sets based on a reflexive and transitive intuitionsitic fuzzy relation consists of a intuitionistic fuzzy topology which satisfies IFT Condition.
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