Capacities on lattices and k-ary capacities

We propose a general notion of capacity defined on any finite distributive lattice, encompassing usual capacities, bi-capacities, and their immediate extensions called k-ary capacities. We define key notions such as M¨obius transform, derivative, Shapley value and Choquet integral.

• Type: Conference
• Year: 2003
• Where: EUSFLAT
• Authors: Michel Grabisch, Christophe Labreuche
• Keywords: EUSFLAT 2003, EUSFLAT 2007, K-ary Capacities, Usual Capacities, finite Distributive Lattice