Choice Rules with Size Constraints for Multiple Criteria Decision Making
AbstractIn 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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Bibliographic InfoPaper provided by ESSEC Research Center, ESSEC Business School in its series ESSEC Working Papers with number DR 04002.
Length: 18 pages
Date of creation: Jan 2004
Date of revision:
Combinatorial optimization; Fuzzy preferences; Integer Programming; Location; Multiple Criteria Decision Aid;
Find related papers by JEL classification:
- C44 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Operations Research; Statistical Decision Theory
This paper has been announced in the following NEP Reports:
- NEP-ALL-2004-03-22 (All new papers)
- NEP-DCM-2004-03-22 (Discrete Choice Models)
- NEP-DEV-2004-03-22 (Development)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Fodor, Janos C. & Roubens, Marc, 1995. "Structure of transitive valued binary relations," Mathematical Social Sciences, Elsevier, vol. 30(1), pages 71-94, August.
- 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.
- 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.
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