A characterization of the 2-additive Choquet integral through cardinal information

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 to represent a cardinal preferential information by the Choquet integral w.r.t. a 2-additive capacity. These conditions are based on some complex cycles called cyclones.

Keywords: MCDA; Choquet integral; 2-Additive capacity; MACBETH methodology (search for similar items in EconPapers)
Date: 2011-12-01
Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00625708
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Citations: View citations in EconPapers (5)

Published in Fuzzy Sets and Systems, 2011, 184 (1), pp.84-105. ⟨10.1016/j.fss.2010.10.012⟩

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Related works:
Working Paper: A characterization of the 2-additive Choquet integral through cardinal information (2011)
Working Paper: A characterization of the 2-additive Choquet integral through cardinal information (2009)
Working Paper: A characterization of the 2-additive Choquet integral through cardinal information (2009)
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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:halshs-00625708

DOI: 10.1016/j.fss.2010.10.012

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