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.