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Choice Rules with Size Constraints for Multiple Criteria Decision Making

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    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.

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    File URL: http://www.essec.fr/faculty/showDeclFileRes.do?declId=3999&key=__workpaper__
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    Paper provided by ESSEC Research Center, ESSEC Business School in its series ESSEC Working Papers with number DR 04002.

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    Length: 18 pages
    Date of creation: Jan 2004
    Date of revision:
    Handle: RePEc:ebg:essewp:dr-04002
    Contact details of provider: Postal: ESSEC Research Center, BP 105, 95021 Cergy, France
    Web page: http://www.essec.edu/
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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. 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.
    3. 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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