Abstract

We consider the fuzzification of the notion of implicative hyper BCK‐ideals, and then investigate several properties. Using the concept of level subsets, we give a characterization of a fuzzy implicative hyper BCK‐ideal. We state a relation between a fuzzy hyper BCK‐ideal and a fuzzy implicative hyper BCK‐ideal. We establish a condition for a fuzzy hyper BCK‐ideal to be a fuzzy implicative hyper BCK‐ideal. Finally, we introduce the notion of hyper homomorphisms of hyper BCK‐algebras, and discuss related properties.

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