Abstract

The fuzzification of (weak, strong, reflexive) hyper h-ideals in hyper BCK-algebras is considered. It is shown that every fuzzy (weak, strong, reflexive) hyper h-ideal is a fuzzy (weak, strong, reflexive) hyper BCK-ideal. Relations among (fuzzy) weak hyper h-ideals, (fuzzy) hyper h-ideals, (fuzzy) strong hyper h-ideals and fuzzy reflexive hyper h-ideals are given. The hyper homomorphic pre-image of a fuzzy hyper h-ideal is discussed. It is proved that the product of fuzzy hyper h-ideals is also a fuzzy hyper h-ideal.

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