International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 24, Pages 1239-1253
doi:10.1155/S0161171204306186
Fuzzy multiply positive implicative hyper BCK-ideals of hyper
BCK-algebras
Department of Mathematics, Hubei Institute for Nationalities, Hubei Province, Enshi 445000, China
Received 23 June 2003
Copyright © 2004 Jianming Zhan et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.