Abstract
By using the concept of fuzzy points, we generalize the notion of hyper BCK-algebra and the notions of fuzzy point hyper BCK-(sub) algebras, fuzzy point (weak, strong) hyper BCK-ideals, quasi hyper BCK-(sub) algebras and quasi (weak, strong) hyper BCK-ideals are introduced. The relationship between these notions are stated and proved. Finally, we study the condition QH on quasi hyper BCK-algebras.
Highlights
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Since the concept of the hyper BCK-algebra is a generalization of the notion of the BCK-algebra, it is natural to search for logic whose algebraic structure is a hyper BCK-algebra
We use the notion of fuzzy point to establish the notions of fuzzy point hyper BCK-(sub) algebras, fuzzy point hyper BCK-ideals, quasi hyper BCK(sub) algebras and quasi hyper BCKideals, we obtain some related results which have been mentioned in the abstract
Summary
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