{"title":"模糊拓扑空间中的模糊ω -闭集","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":"{\"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}","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}
On fuzzy ωα - closed set in fuzzy topological spaces
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.