Fuzzy relation plays an important role in many applications. In this work, I-fuzzy equivalence relation and I-transitive approximations are studied. Firstly, the methods for judging an I-fuzzy equivalence relation are investigated. Secondly, the relationship between I-fuzzy equivalence relation and T-fuzzy equivalence relation is discussed. Finally, the I-transitive approximations of fuzzy similarity relation are defined and studied.
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