(Fuzzy) Filters of Sheffer Stroke BL-Algebras
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Authors: T. ONER, T. KATICAN AND A. BORUMAND SAEID
DOI: 10.46793/KgJMat2301.039O
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.
Keywords:
(Sheffer stroke) BL-algebra, Sheffer stroke, filter.
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