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.
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