The Choquet integral for 2-additive bi-capacities
Résumé
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.