Normal fuzzy filters in BE-algebras
In this paper, we introduce the notion of normal fuzzy filters and maximal fuzzy filters in a BE-algebra. We prove that every maximal fuzzy filter of X is normal and if mu is a maximal fuzzy filter of X, then x(mu) = {x is an element of X vertical bar mu(x) = mu(1)} is a maximal filter of X.
normal be-algebra maximal (fuzzy) filter