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2009-07-07 - Colloque/Article dans les actes avec comité de lecture - Anglais - 1 page(s)

Pirlot Marc , Ersek E., Fortemps Philippe , "Questioning about weights and the strength of coalitions of criteria" in EURO XXIII, European operations research association, 128, Bonn, Allemagne

  • Codes CREF : Modèles mathématiques d'aide à la décision (DI1151), Recherche opérationnelle (DI1150), Informatique mathématique (DI1160)
  • Unités de recherche UMONS : Mathématique et Recherche opérationnelle (F151)

Abstract(s) :

(Anglais) We consider the problem of determining which coalitions are sufficiently strong in a multiple criteria aggregation procedure of the ELECTRE type (especially in the non-compensatory sorting model of Bouyssou and Marchant). Since we do not assume that the strength of a coalition can be represented by additive weights, the problem amounts to determine an antichain in the set of all subsets of criteria, namely, the antichain of minimally sufficient coalitions (or alternatively, the maximally insufficient). We propose an algorithm for guiding a questioning process dynamically and another for finding an optimal questioning strategy, in terms of the expected number of questions.