A Representation of preferences by the Choquet integral with respect to a 2-additive capacity
Mayag, Brice; Grabisch, Michel; Labreuche, Christophe (2011), A Representation of preferences by the Choquet integral with respect to a 2-additive capacity, Theory and Decision, 71, 3, p. 297-324. http://dx.doi.org/10.1007/s11238-010-9198-3
TypeArticle accepté pour publication ou publié
Journal nameTheory and Decision
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Abstract (EN)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.
Subjects / KeywordsBelief function; k-monotone function; Multiple criteria decision analysis; Choquet integral; Möbius transform; Capacity
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