A characterization of the 2-additive Choquet integral through cardinal information

Authors:
Brice Mayag;Michel Grabisch;Christophe Labreuche
Affiliations:
University of Paris I, Centre d'Economie de la Sorbonne, 106-112 Boulevard de l'Hôpital, 75013 Paris, France;University of Paris I, Centre d'Economie de la Sorbonne, 106-112 Boulevard de l'Hôpital, 75013 Paris, France;Thales R & T, Campus de Polytechnique, 1 avenue Augustin Fresnel, 91767 Palaiseau cedex, France
Venue:
Fuzzy Sets and Systems
Year:
2011

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Abstract

In the context of multiple criteria decision analysis, we present the necessary and sufficient conditions to represent a cardinal preferential information by the Choquet integral w.r.t. a 2-additive capacity. These conditions are based on some complex cycles called cyclones.