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ESSEC Working Papers,
ESSEC Research Center, ESSEC Business School

No DR 04002: Choice Rules with Size Constraints for Multiple Criteria Decision Making

Laurent Alfandari ()
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Laurent Alfandari: ESSEC Business School, Postal: Avenue Bernard Hirsch - B.P. 50105, 95021 CERGY-PONTOISE CEDEX , FRANCE,

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.

Keywords: Combinatorial optimization; Fuzzy preferences; Integer Programming; Location; Multiple Criteria Decision Aid

JEL-codes: C44

18 pages, January 2004

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