(Fuzzy) Filters of Sheffer Stroke BL-Algebras
Kragujevac Journal of Mathematics, Tome 47 (2023) no. 1, p. 39 .

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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 $f_{p}$ is either empty or a (ultra) filter of $C$ for each $p\in [0, 1]$, and it is satisfied for $p=f(1)$ and for the characteristic function of a nonempty subset of a Sheffer stroke BL-algebra.
DOI : 10.46793/KgJMat2301.039O
Classification : 03G25, 03B60, 03G10
Keywords: (Sheffer stroke) BL-algebra, Sheffer stroke, filter
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Tahsin Oner; Tugce Katican; Arsham Boru; and Saeid. (Fuzzy) Filters of Sheffer Stroke BL-Algebras. Kragujevac Journal of Mathematics, Tome 47 (2023) no. 1, p. 39 . doi : 10.46793/KgJMat2301.039O. http://geodesic.mathdoc.fr/articles/10.46793/KgJMat2301.039O/

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