A Representation of Preferences by the Choquet Integral with Respect to a 2-Additive CapacityReport as inadecuate




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1 LGI - Laboratoire Génie Industriel - EA 2606 2 CES - Centre d-économie de la Sorbonne 3 UMP CNRS-THALES - Unité mixte de physique CNRS-Thalès

Abstract : In the context of Multiple criteria decision analysis, we present the necessary and sufficient conditions allowing to represent an ordinal preferential information provided by the decision maker by a Choquet integral w.r.t a 2-additive capacity. We provide also a characterization of this type of preferential information by a belief function which can be viewed as a capacity. These characterizations are based on three axioms, namely strict cycle-free preferences and some monotonicity conditions called MOPI and 2-MOPI.

Keywords : multicriteria decision making Choquet integral 2-additive capacity MACBETH





Author: Brice Mayag - Michel Grabisch - Christophe Labreuche -

Source: https://hal.archives-ouvertes.fr/



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