Article ID: | iaor20118023 |
Volume: | 71 |
Issue: | 3 |
Start Page Number: | 297 |
End Page Number: | 324 |
Publication Date: | Sep 2011 |
Journal: | Theory and Decision |
Authors: | Grabisch Michel, Labreuche Christophe, Mayag Brice |
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.