A representation of preferences by the Choquet integral with respect to a 2‐additive capacity

A representation of preferences by the Choquet integral with respect to a 2‐additive capacity

0.00 Avg rating0 Votes
Article ID: iaor20118023
Volume: 71
Issue: 3
Start Page Number: 297
End Page Number: 324
Publication Date: Sep 2011
Journal: Theory and Decision
Authors: , ,
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.

Reviews

Required fields are marked *. Your email address will not be published.