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Extensions of the prudence principle to exploit a valued outranking relation

par Dias, Luis L.C.;Lamboray, Claude
Référence European journal of operational research, 201, 3, page (828-837)
Publication Publié, 2010-03

Article révisé par les pairs

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Résumé :

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. © 2009 Elsevier B.V. All rights reserved.