The Choquet integral for 2-additive bi-capacities

Michel Grabisch (1) , Christophe Labreuche

1 SYSDEF - Systèmes d'aide à la décision et à la formation

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.

Domaines: Informatique [cs]

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. ⟨hal-01533655⟩