{"title":"On fuzzy sheffer stroke be-algebras","authors":"Tahsin Oner, Tugce Katican, Arsham Borumand Saeid","doi":"10.1142/s179300572550005x","DOIUrl":null,"url":null,"abstract":"In this study, fuzzy Sheffer stroke BE-algebras are studied. Then a fuzzy SBE-subalgebra, a fuzzy SBE-filter, the cartesian product of fuzzy subsets and fuzzy points on a Sheffer stroke BE-algebra (briefly, SBE-algebra) are defined and it is shown that the family of all fuzzy points in a SBE-algebra is a weak SBE-algebra which is usually not a SBE-algebra. The case in which this family forms a SBE-algebra is interpreted. Also, a weak SBE-filter of a SBE-algebra is described by means of the fuzzy points and the relationships between various SBE-filters on a SBE-algebra are investigated.","PeriodicalId":44835,"journal":{"name":"New Mathematics and Natural Computation","volume":null,"pages":null},"PeriodicalIF":0.7000,"publicationDate":"2023-11-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"New Mathematics and Natural Computation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1142/s179300572550005x","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
引用次数: 0
Abstract
In this study, fuzzy Sheffer stroke BE-algebras are studied. Then a fuzzy SBE-subalgebra, a fuzzy SBE-filter, the cartesian product of fuzzy subsets and fuzzy points on a Sheffer stroke BE-algebra (briefly, SBE-algebra) are defined and it is shown that the family of all fuzzy points in a SBE-algebra is a weak SBE-algebra which is usually not a SBE-algebra. The case in which this family forms a SBE-algebra is interpreted. Also, a weak SBE-filter of a SBE-algebra is described by means of the fuzzy points and the relationships between various SBE-filters on a SBE-algebra are investigated.
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