{"title":"More on Fuzzy Pre-γ-Open and Fuzzy Pre-γ-generalized Closed Sets","authors":"C. Sivashanmugaraja","doi":"10.22457/apam.v25n2a03852","DOIUrl":null,"url":null,"abstract":"This study aims to continue the study of the properties of pre-γ-open and pre-γ-generalized closed sets in fuzzy topological spaces. Also, we introduce the concepts of fuzzy pre-γ-closed, fuzzy pre-γ-closure, fuzzy pre-γ-interior, and fuzzy preγ-generalized open sets. We prove that every fuzzy pre-γ-closed set is fuzzy pre-γgeneralized-closed but not converse. In addition, we introduce some characterizations and properties of these concepts. Finally, we investigate the relationship between these fuzzy sets.","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","volume":"33 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annals of Pure and Applied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22457/apam.v25n2a03852","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 study aims to continue the study of the properties of pre-γ-open and pre-γ-generalized closed sets in fuzzy topological spaces. Also, we introduce the concepts of fuzzy pre-γ-closed, fuzzy pre-γ-closure, fuzzy pre-γ-interior, and fuzzy preγ-generalized open sets. We prove that every fuzzy pre-γ-closed set is fuzzy pre-γgeneralized-closed but not converse. In addition, we introduce some characterizations and properties of these concepts. Finally, we investigate the relationship between these fuzzy sets.