On Fuzzy Sheffer Stroke Be-Algebras
Articles > Article · 2023
Authors: Tahsin ÖNER, Tugce Katican, Arsham Borumand Saeid
New Mathematics and Natural Computation, Journal Indexed in ESCI, International, Scopus, 2023, vol 21, pp 77-90
DOI: 10.1142/s179300572550005x
Summary
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.