On Fuzzy Sheffer Stroke Be-Algebras

Tahsin Oner, Tugce Katican () and Arsham Borumand Saeid ()
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Tahsin Oner: Department of Mathematics, Faculty of Science, Ege University, 35100 Ä°zmir, Turkey
Tugce Katican: Department of Mathematics, Izmir University of Economics, Izmir, Turkey
Arsham Borumand Saeid: Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran

New Mathematics and Natural Computation (NMNC), 2025, vol. 21, issue 01, 77-90

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.

Keywords: (Fuzzy) SBE-algebra; fuzzy point; weak SBE-algebra (filter) (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1142/S179300572550005X

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