Bi-capacities—II: the Choquet integral

descriptionPublicationkeyboard_double_arrow_right Article 01 Apr 2005 English Publisher:Elsevier BVJournal:Fuzzy Sets and Systems, volume 151, pages 237-259 (issn: 0165-0114,

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Authors: Michel Grabisch; Christophe Labreuche;

doi: 10.1016/j.fss.2004.08.013

Bi-capacities—II: the Choquet integral

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Abstract

Theoretical aspects of decision making on bipolar scales are considered. A new version of the Choquet integral is introduced to compute the overall utility of real-valued acts with respect to bipolar scales. The proposed model generalizes the Cumulative Prospect Theory by Tversky and Kahnemann. The authors state that the aim of the paper is ``to present the machinery behind bi-capacities, and thus remains on a rather theoretical level\dots''. For Part I see [Fuzzy Sets Syst. 151, No. 2, 211--236 (2005; Zbl 1106.91023)].

Related Organizations

University of Paris
France

Keywords

Cooperative games, fuzzy measure, Fuzzy measure theory, bi-capacity, Choquet integral, decision theory, Decision theory, cooperative games

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