{"title":"On fuzzy ωα - closed set in fuzzy topological spaces","authors":"I. Paymalan, Luzviminda A. Ranara","doi":"10.12988/imf.2019.9726","DOIUrl":null,"url":null,"abstract":"This paper introduced new classes of fuzzy sets in fuzzy topological spaces, namely, the class of fuzzy ωα -closed set and fuzzy ωα -open set by fuzzification of the ωα -closed set and fuzzy ωα -open set in Topology. Fuzzy ωα -open sets were used to define fuzzy pre g *-closed set. Lastly, some properties of the said fuzzy sets and its relationship to some existing class of fuzzy closed sets were proved.","PeriodicalId":107214,"journal":{"name":"International Mathematical Forum","volume":"6 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Mathematical Forum","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12988/imf.2019.9726","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
This paper introduced new classes of fuzzy sets in fuzzy topological spaces, namely, the class of fuzzy ωα -closed set and fuzzy ωα -open set by fuzzification of the ωα -closed set and fuzzy ωα -open set in Topology. Fuzzy ωα -open sets were used to define fuzzy pre g *-closed set. Lastly, some properties of the said fuzzy sets and its relationship to some existing class of fuzzy closed sets were proved.
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