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Extensions of the prudence principle to exploit a valued outranking relation

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  • Dias, Luis C.
  • Lamboray, Claude

Abstract

In many outranking methods, the alternatives are first compared pairwise to build a valued outranking relation, which is then exploited to derive a recommendation for the decision maker. This paper proposes extensions of Arrow and Raynaud's prudence principle to exploit a valued outranking relation, even in cases where the outranking values have an ordinal interpretation. The idea is to build a ranking that maximizes the weakest support for its implicit pairwise comparisons. We present a family of exploitation models providing three types of solutions, depending on the decision maker's request: a linear order, a weak order, or a partial preorder. An algorithm is provided which solves the exploitation models. Relations between these models and some of their properties are also discussed.

Suggested Citation

  • Dias, Luis C. & Lamboray, Claude, 2010. "Extensions of the prudence principle to exploit a valued outranking relation," European Journal of Operational Research, Elsevier, vol. 201(3), pages 828-837, March.
    • Handle: RePEc:eee:ejores:v:201:y:2010:i:3:p:828-837
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    References listed on IDEAS

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    1. Claude Lamboray, 2009. "A prudent characterization of the Ranked Pairs Rule," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 32(1), pages 129-155, January.
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    8. Denis Bouyssou, 1996. "Outranking Relations: Do They Have Special Properties?," Post-Print hal-02920213, HAL.
    9. ,, 1999. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 15(1), pages 151-160, February.
    10. Kenneth J. Arrow & Herve Raynaud, 1986. "Social Choice and Multicriterion Decision-Making," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262511754, April.
    11. Fernandez, Eduardo & Leyva, Juan Carlos, 2004. "A method based on multiobjective optimization for deriving a ranking from a fuzzy preference relation," European Journal of Operational Research, Elsevier, vol. 154(1), pages 110-124, April.
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    Cited by:

    1. Luis C. Dias & Humberto Rocha, 2023. "A stochastic method for exploiting outranking relations in multicriteria choice problems," Annals of Operations Research, Springer, vol. 321(1), pages 165-189, February.
    2. De Smet, Yves & Nemery, Philippe & Selvaraj, Ramkumar, 2012. "An exact algorithm for the multicriteria ordered clustering problem," Omega, Elsevier, vol. 40(6), pages 861-869.

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