A Representation of Preferences by the Choquet Integral with Respect to a 2-Additive Capacity

Brice Mayag (), Michel Grabisch and Christophe Labreuche ()
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Brice Mayag: LGI - Laboratoire Génie Industriel - EA 2606 - CentraleSupélec
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

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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.

Keywords: multicriteria decision making; Choquet integral; 2-additive capacity; MACBETH (search for similar items in EconPapers)
Date: 2011
Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00625706
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Citations: View citations in EconPapers (12)

Published in Theory and Decision, 2011, 71 (3), pp.297-324. ⟨10.1007/s11238-010-9198-3⟩

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Related works:
Journal Article: A representation of preferences by the Choquet integral with respect to a 2-additive capacity (2011)
Working Paper: A Representation of Preferences by the Choquet Integral with Respect to a 2-Additive Capacity (2011)
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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:halshs-00625706

DOI: 10.1007/s11238-010-9198-3

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