A Representation of Preferences by the Choquet Integral with Respect to a 2-Additive Capacity

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.
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Submitted on : Thursday, September 22, 2011 - 2:07:07 PM
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Brice Mayag, Michel Grabisch, Christophe Labreuche. A Representation of Preferences by the Choquet Integral with Respect to a 2-Additive Capacity. Theory and Decision, Springer Verlag, 2011, 71 (3), pp.297-324. ⟨10.1007/s11238-010-9198-3⟩. ⟨halshs-00625706⟩

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