Fuzzy Filter Spectrum of a BCK Algebra

الملخص EN

The notion of fuzzy s-prime filters of a bounded BCK-algebra is introduced.

We discuss the relation between fuzzy s-prime filters and fuzzy prime filters.

By the fuzzy s-prime filters of a bounded commutative BCK-algebra X, we establish a fuzzy topological structure on X.

We prove that the set of all fuzzy s-prime filters of a bounded commutative BCK-algebra forms a topological space.

Moreover, we show that the set of all fuzzy s-prime filters of a bounded implicative BCK-algebra is a Hausdorff space.