Abstract
By using the notion of interval-valued intuitionistic fuzzy relations, we form the poset (IVIR(X), ≤ ) of intervalvalued intuitionistic fuzzy relations on a given set X. In particular, we form the subposet (IVIE(X), ≤ ) of interval-valued intuitionistic fuzzy equivalence relations on a given set X and prove that the poset (IVIE(X), ≤ ) is a complete lattice with the least element and greatest element.
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