The Choquet integral for 2-additive bi-capacities

Abstract : Bi-capacities have been presented recently by the authors as a natural generalization of capacities (fuzzy measures). Usual con cepts as M öbius transform, Shapley value and interaction index, Choquet integral, k-additivity can be generalized. We present formulas of the Choquet integral w.r.t. the Möbius transform, and w.r.t. the interaction index for 2-additive bi-capacities.
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Submitted on : Tuesday, June 6, 2017 - 4:36:14 PM
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  • HAL Id : hal-01533655, version 1

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Michel Grabisch, Christophe Labreuche. The Choquet integral for 2-additive bi-capacities. EUSFLAT 2003 - 3rd International Conference of the European Society for Fuzzy Logic and Technology, Sep 2003, Zittau, Germany. EUSFLAT 2003 - 3rd International Conference of the European Society for Fuzzy Logic and Technology. 〈hal-01533655〉

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