International Journal of Mathematics and Mathematical Sciences 
Volume 2006 (2006), Article ID 35930, 12 pages
doi:10.1155/IJMMS/2006/35930

On sensible fuzzy ideals of BCK-algebras with respect to a t-conorm

M. Akram1 and Jianming Zhan2

 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

Abstract

We introduce the notion of sensible fuzzy ideals of BCK-algebras with respect to a t-conorm and investigate some of their properties. We give the conditions for a sensible fuzzy subalgebra with respect to a t-conorm to be a sensible fuzzy ideal with respect to a t-conorm. Some properties of the direct product and S -product of fuzzy ideals of BCK-algebras with respect to a t-conorm are also discussed.