
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
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Type
Article accepté pour publication ou publiéDate
2011Journal name
Theory and DecisionVolume
71Number
3Publisher
Springer
Pages
297-324
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Show full item recordAbstract (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 / Keywords
Belief function; k-monotone function; Multiple criteria decision analysis; Choquet integral; Möbius transform; CapacityRelated items
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