The Choquet integral for 2-additive bi-capacities

Bi-capacities have been presented recently by the authors as a natural generalization of capacities (fuzzy measures). Usual concepts as M¨obius transform, Shapley value and interaction index, Choquet integral, kadditivity can be generalized. We present formulas of the Choquet integral w.r.t. the M¨obius transform, and w.r.t. the interaction index for 2-additive bi-capacities.

• Type: Conference
• Year: 2003
• Where: EUSFLAT
• Authors: Michel Grabisch, Christophe Labreuche
• Keywords: Choquet Integral, EUSFLAT 2003, EUSFLAT 2007, Interaction Index, M¨obius Transform