On the use of the Choquet integral with fuzzy numbers in multiple criteria decision support

Authors:
Patrick Meyer;Marc Roubens
Affiliations:
Service de Mathématiques Appliquées, Université du Luxembourg, 162a, avenue de la Faïencerie, L-1511 Luxembourg;Mathématique & Recherche Opéérationnelle, Faculté Polytechnique de Mons, 9, rue de Houdain, B-7000 Mons, Belgium
Venue:
Fuzzy Sets and Systems
Year:
2006

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Abstract

This paper presents a multiple criteria decision support approach in order to build a ranking and suggest a best choice on a set of alternatives. The partial evaluations of the alternatives on the points of view can be fuzzy numbers. The aggregation is performed through the use of a fuzzy extension of the Choquet integral. We detail how to assess the coefficients of the aggregation operator by using alternatives which are well-known to the decision maker, and which originate from his domain of expertise.