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A multiobjective evolutionary algorithm for deriving a final ranking from a medium-sized fuzzy outranking relation

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Listed:
  • Juan Carlos Leyva-López
  • Jesús Jaime Solano-Noriega
  • Diego Alonso Gastélum-Chavira

Abstract

The exploitation stage of a fuzzy outranking relation of the outranking methods aims to deal with the intransitivities in such a relation to consolidate and synthesise the decision maker's preferences between pairs of actions to obtain a ranking that is representative of his/her preferences over a given set of actions. In this paper, we propose this exploitation phase as a multiobjective optimisation problem and use a modified version of the multiobjective genetic algorithm (we refer to it as RP2-MOGA+H) to exploit a medium-sized fuzzy outranking relation to determining a partial pre-order of alternatives. To measure the performance of RP2-MOGA+H, we present an empirical study over a set of simulated ranking problems, which shows that RP2-MOGA+H can effectively exploit a medium-sized fuzzy outranking relation. Moreover, the RP2-MOGA+H outperforms other ranking procedures based on multiobjective evolutionary algorithms in the conducted experiments.

Suggested Citation

  • Juan Carlos Leyva-López & Jesús Jaime Solano-Noriega & Diego Alonso Gastélum-Chavira, 2021. "A multiobjective evolutionary algorithm for deriving a final ranking from a medium-sized fuzzy outranking relation," International Journal of Entrepreneurship and Innovation Management, Inderscience Enterprises Ltd, vol. 25(2/3), pages 184-210.
  • Handle: RePEc:ids:ijeima:v:25:y:2021:i:2/3:p:184-210
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