Generalized Choquet-like aggregation functions for handling bipolar scales

Christophe Labreuche () and Michel Grabisch
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Christophe Labreuche: Laboratoire Albert Fert (ex-UMPhy Unité mixte de physique CNRS/Thales) - THALES [France] - Université Paris-Saclay - CNRS - Centre National de la Recherche Scientifique

Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) from HAL

Abstract: We are interested in modeling interaction between criteria in Multi-Criteria Decision Making when underlying scales are bipolar. Interacting phenomena involving behavioral bias between attractive and repulsive values are in particular considered here. We show in an example that both the Choquet integral and the Cumulative Prospect Theory (CPT) model fail to represent these interacting phenomena. Axioms that enable the construction of the preferences of the decision maker over each attribute, and the representation of his preferences about aggregation of criteria are introduced and justified. We show there is a unique aggregation operator that fits with these axioms. It is based on the notion of {\em bi-capacity} and generalizes both the Choquet integral and the CPT model.

Keywords: decision support systems; multiple criteria analysis; Choquet integral; capacities; axiomatic approach (search for similar items in EconPapers)
Date: 2006-08
Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00186907
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Citations: View citations in EconPapers (22)

Published in European Journal of Operational Research, 2006, 172 (3), pp.931-955. ⟨10.1016/j.ejor.2004.11.008⟩

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Journal Article: Generalized Choquet-like aggregation functions for handling bipolar scales (2006)
Working Paper: Generalized Choquet-like aggregation functions for handling bipolar scales (2006)
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Persistent link: https://EconPapers.repec.org/RePEc:hal:cesptp:halshs-00186907

DOI: 10.1016/j.ejor.2004.11.008

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