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The framework of multiobjective optimization is used to tackle the multicriteria ranking problem. The conceptual advantages of the multiobjective formulation are discussed and a new multiobjective evolutionary algorithm is introduced with the purpose of transforming a known valued outranking relation into an antisymmetric crisp outranking relation, on a set of classes of alternatives, where the elements of each class are indifferent each other, and with this as a background, we propose a recommendation for ranking problems of medium-sized set of alternatives. The performance of the algorithm is evaluated on a test problem. It was capable of producing a high-quality recommendation.

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A Multiobjective Evolutionary Approach to a Medium- Sized Multicriteria Ranking Problem A Multiobjective Evolutionary Approach to a Medium- Sized Multicriteria Ranking Problem