International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 9, Pages 549-556

Fuzzy structures of PI(,,)BCK-ideals in hyper BCK-algebras

Young Bae Jun and Wook Hwan Shim

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

Received 28 October 2001

Copyright © 2003 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.


The fuzzification of PI(,,)BCK-ideals is considered. Using the notion of α-cut, characterization of fuzzy PI(,,)BCK-ideals is given. Conditions for a fuzzy set to be a fuzzy PI(,,)BCK-ideal are provided.