{"title":"A study of g∗ - fuzzy closed set via αm in double fuzzy topological space","authors":"Sanaa Abdullah, Hiba O Mousa","doi":"10.22075/IJNAA.2022.5460","DOIUrl":null,"url":null,"abstract":"The aim of this research paper is to present and study a new class of generalized closed sets in double fuzzy topological spaces, by using the fuzzy - αm closed set, that was previously presented. This new class is called the fuzzy αm - g∗fuzzy closed set. The relationship of the new concept with previous concepts is studied and the characteristics of this concept is investigated through important theorems that determine the position of this set in relation to sets that have been studied or that will be presented later. Also, generalizations of the functions are presented according to the concept, their properties are studied, and some necessary examples that show the properties of this concept and its relationships.","PeriodicalId":14240,"journal":{"name":"International Journal of Nonlinear Analysis and Applications","volume":"130 1","pages":"91-95"},"PeriodicalIF":0.0000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Nonlinear Analysis and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22075/IJNAA.2022.5460","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0
Abstract
The aim of this research paper is to present and study a new class of generalized closed sets in double fuzzy topological spaces, by using the fuzzy - αm closed set, that was previously presented. This new class is called the fuzzy αm - g∗fuzzy closed set. The relationship of the new concept with previous concepts is studied and the characteristics of this concept is investigated through important theorems that determine the position of this set in relation to sets that have been studied or that will be presented later. Also, generalizations of the functions are presented according to the concept, their properties are studied, and some necessary examples that show the properties of this concept and its relationships.
本文利用已有的模糊- αm闭集，提出并研究了双模糊拓扑空间中一类新的广义闭集。这个新类称为模糊αm - g *模糊闭集。研究了新概念与先前概念的关系，并通过一些重要的定理来研究这个概念的特征，这些定理决定了这个集合相对于已经研究过或将在后面提出的集合的位置。根据这一概念给出了函数的推广，研究了函数的性质，并举例说明了这一概念的性质及其相互关系。
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