International Journal of Mathematics and Mathematical Sciences
Volume 29 (2002), Issue 2, Pages 63-70

Fuzzy implicative hyper BCK-ideals of hyper BCK-algebras

Young Bae Jun and Wook Hwan Shim

Department of Mathematics Education, Gyeongsang National University, Chinju 660-701, Korea

Received 8 February 2001

Copyright © 2002 Young Bae Jun and Wook Hwan Shim. 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.


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.