A characterization of the 2-additive Choquet integral

Brice Mayag, Michel Grabisch, Christophe Labreuche.

We present the necessary and sufficient conditions on ordinal preferential information provided by the decision maker for the existence of a 2-additive capacity such that the Choquet integral w.r.t. this capacity represents the preference of the decision maker. These conditions help the decision-maker to understand the main reasons of the recommendations made when inconsistencies occur in his preferences on the set of binary actions.

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