International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 8, Pages 65921, 11 p.
doi:10.1155/IJMMS/2006/65921
Intuitionistic fuzzy Hv-ideals
Bijan Davvaz1
and Wiesław A. Dudek2
1Department of Mathematics, Yazd University, P.O. Box 89195-741, Yazd, Iran
2Institute of Mathematics and Computer
Science, Wroclaw University of Technology, Ul. Wybrzeze
Wyspiańskiego 27, Wroclaw 50-370, Poland
Abstract
The notion of intuitionistic fuzzy sets was introduced by Atanassov as a generalization of the notion of fuzzy sets. In this paper, we apply the concept of intuitionistic fuzzy sets to Hv-rings. We introduce the notion of an intuitionistic fuzzy Hv-ideal of an Hv-ring and then some related properties are investigated. We state some characterizations of intuitionistic fuzzy Hv-ideals. Also we investigate some natural equivalence relations on the set of all intuitionistic fuzzy Hv-ideals of an Hv-ring.