Dealing with inconsistencies in the representation of ordinal information by a 2-additive Choquet integral

Abstract

We propose an algorithm to solve inconsistencies when the preferences of a decision-maker, given by a strict and an indifference relations on a set of binary actions, are not representable by a 2-additive Choquet integral. According to the characterization of this type of information, these inconsistencies arise from the violation of the MOPI property or occur in the presence of a strict cycle in his preferences.