{"title":"(Fuzzy) Filters of Sheffer Stroke BL-Algebras","authors":"T. Oner, T. Katican, A. Borumand Saeid","doi":"10.46793/kgjmat2301.039o","DOIUrl":null,"url":null,"abstract":"In this study, some (fuzzy) filters of a Sheffer stroke BL-algebra and its properties are presented. To show a relationship between a filter and a fuzzy filter of Sheffer stroke BL-algebra, we prove that f is a fuzzy (ultra) filter of C if and only if fp is either empty or a (ultra) filter of C for each p ∈ [0, 1], and it is satisfied for p = f(1) and for the characteristic function of a nonempty subset of a Sheffer stroke BL-algebra.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":1.0000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Kragujevac Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46793/kgjmat2301.039o","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 8
Abstract
In this study, some (fuzzy) filters of a Sheffer stroke BL-algebra and its properties are presented. To show a relationship between a filter and a fuzzy filter of Sheffer stroke BL-algebra, we prove that f is a fuzzy (ultra) filter of C if and only if fp is either empty or a (ultra) filter of C for each p ∈ [0, 1], and it is satisfied for p = f(1) and for the characteristic function of a nonempty subset of a Sheffer stroke BL-algebra.
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