Fuzzy multiply positive implicative hyper BCK‐ideals of hyperBCK‐algebras

Abstract

We consider the fuzzification of the notion of fuzzy multiply positive implicative hyper BCK‐ideals of BCK‐algebras and then some related results are obtained. Using the concept of level subsets, we give a characterization of a fuzzy multiply positive implicative hyper BCK‐ideal. We state a relation between a fuzzy hyper BCK‐ideal and a fuzzy multiply positive implicative hyper BCK‐ideal. Moreover, we introduce the notions of Noetherian hyper BCK‐algebras and hyper homomorphisms of hyper BCK‐algebras and investigate some related properties. Finally, we introduce the concept of hyper normalization of hyper BCK‐algebras and discuss related properties.