Journal
THEORY AND DECISION
Volume 71, Issue 3, Pages 297-324Publisher
SPRINGER
DOI: 10.1007/s11238-010-9198-3
Keywords
Capacity; Mobius transform; Choquet integral; Multiple criteria decision analysis; k-monotone function; Belief function
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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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