(Fuzzy) Filters of Sheffer Stroke BL-Algebras

Tahsin Oner, Tugce Katican, Arsham Borumand Saeid

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.