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Bi-capacities. II: The Choquet integral. (English) Zbl 1114.91028
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…”.
Part I, see Fuzzy Sets Syst. 151, No. 2, 211–236 (2005; Zbl 1106.91023).

MSC:
91B06 Decision theory
91A12 Cooperative games
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