International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 35930, 12 pages
On sensible fuzzy ideals of BCK-algebras with respect to
1University College of Information Technology,
University of The Punjab, Allama Iqbal Campus (Old Campus), P. O. Box 54000, Lahore, Pakistan
2Department of Mathematics, Hubei Institute for Nationalities, Enshi 445000, Hubei Province, China
Received 3 October 2005; Revised 29 May 2006; Accepted 5 June 2006
Copyright © 2006 M. Akram and Jianming Zhan. 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 introduce the notion of sensible fuzzy ideals of BCK-algebras
with respect to a -conorm and investigate some of their
properties. We give the conditions for a sensible fuzzy subalgebra
with respect to a -conorm to be a sensible fuzzy ideal with
respect to a -conorm. Some properties of the direct product and
-product of fuzzy ideals of BCK-algebras with respect to a
-conorm are also discussed.