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Fuzzy multiply positive implicative hyper BCK-ideals of hyper BCK-algebras

Jianming Zhan, Dajing Xiang and Zhisong Tan

International Journal of Mathematics and Mathematical Sciences, 2004, vol. 2004, 1-15

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.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:682748

DOI: 10.1155/S0161171204306186

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