A multiplicative version of Promethee II applied to multiobjective optimization problems |
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Authors: | RO Parreiras JA Vasconcelos |
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Institution: | Department of Electrical Engineering, Federal University of Minas Gerais (UFMG), Av. Antônio Carlos, 6627, 31270-010 BH, MG, Brazil |
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Abstract: | The method Promethee II has produced attractive results in the choice of the most satisfactory optimal solution of convex multiobjective problems. However, according to the current literature, it may not work properly with nonconvex problems. A modified version of this method, called multiplicative Promethee, is proposed in this paper. Both versions are applied to some analytical problems, previously optimized by an evolutionary algorithm. The multiplicative Promethee got much better results than the original Promethee II, being capable of solving convex and nonconvex problems, with continuous and discontinuous Pareto fronts. |
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Keywords: | Multiple criteria analysis Multiple objective programming Decision analysis |
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