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Choice Rules with Size Constraints for Multiple Criteria Decision Making

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Abstract

In outranking methods for Multiple Criteria Decision Making (MCDM), pair-wise comparisons of alternatives are often summarized through a fuzzy preference relation. In this paper, the binary preference relation is extended to pairs of subsets of alternatives in order to define on this basis a scoring function over subsets. A choice rule based on maximizing score under size constraint is studied, which turns to formulate as solving a sequence of classical location problems. For comparison with the kernel approach, the interior stability property of the selected subset is discussed and analyzed.

Suggested Citation

  • Alfandari, Laurent, 2004. "Choice Rules with Size Constraints for Multiple Criteria Decision Making," ESSEC Working Papers DR 04002, ESSEC Research Center, ESSEC Business School.
    • Handle: RePEc:ebg:essewp:dr-04002
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    1. Fodor, Janos C. & Roubens, Marc, 1995. "Structure of transitive valued binary relations," Mathematical Social Sciences, Elsevier, vol. 30(1), pages 71-94, August.
    2. S. L. Hakimi, 1964. "Optimum Locations of Switching Centers and the Absolute Centers and Medians of a Graph," Operations Research, INFORMS, vol. 12(3), pages 450-459, June.
    3. Denis Bouyssou, 1996. "Outranking Relations: Do They Have Special Properties?," Post-Print hal-02920213, HAL.
    4. Owen, Susan Hesse & Daskin, Mark S., 1998. "Strategic facility location: A review," European Journal of Operational Research, Elsevier, vol. 111(3), pages 423-447, December.
    5. Bertrand Mareschal & Jean Pierre Brans & Philippe Vincke, 1984. "Prométhée: a new family of outranking methods in multicriteria analysis," ULB Institutional Repository 2013/9305, ULB -- Universite Libre de Bruxelles.
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    More about this item

    Keywords

    Combinatorial optimization; Fuzzy preferences; Integer Programming; Location; Multiple Criteria Decision Aid;
    All these keywords.

    JEL classification:

    • C44 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Operations Research; Statistical Decision Theory

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