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To identify interactions among evaluation criteria and describe their importance, a new identification method making use of a fuzzy measure is presented. The relative weight and interaction degree of every evaluation criteria pair are obtained by using the diamond pairwise comparison method. Based on comparison results, the maximum eigenvector method of analytic hierarchy process (AHP), the hierarchical clustering method, and the phi(s) transformation are utilized to generate values of the fuzzy measure for each subset of the evaluation criterion set. Overall evaluation on each supplier is aggregated by Choquet integral with respect to the fuzzy measure. Finally, an illustrative example demonstrates the practical feasibility and validity of the proposed method.