54 citations · 99 across the 17 of their papers we have counts for
9 papers · 1 filter
An improvement of Random Node Generator for the uniform generation of capacities
Peiqi Sun, Michel Grabisch, Christophe Labreuche
Capacity is an important tool in decision-making under risk and uncertainty and multi-criteria decision-making. When learning a capacity-based model, it is important to be able to…
An approximation algorithm for random generation of capacities
Michel Grabisch, Christophe Labreuche, Peiqi Sun
Capacities on a finite set are sets functions vanishing on the empty set and being monotonic w.r.t. inclusion. Since the set of capacities is an order polytope, the problem of rand…
On the decomposition of Generalized Additive Independence models
Michel Grabisch, Christophe Labreuche
The GAI (Generalized Additive Independence) model proposed by Fishburn is a generalization of the additive utility model, which need not satisfy mutual preferential independence. I…
Bipolarization of posets and natural interpolation
Michel Grabisch, Christophe Labreuche
The Choquet integral w.r.t. a capacity can be seen in the finite case as a parsimonious linear interpolator between vertices of . We take this basic fact as a starting poi…
On the Extension of Pseudo-Boolean Functions for the Aggregation of Interacting Criteria
Michel Grabisch, Christophe Labreuche, Jean-Claude Vansnick
The paper presents an analysis on the use of integrals defined for non-additive measures (or capacities) as the Choquet and the \Sipos{} integral, and the multilinear model, all se…
The Choquet integral for the aggregation of interval scales in multicriteria decision making
Christophe Labreuche, Michel Grabisch
This paper addresses the question of which models fit with information concerning the preferences of the decision maker over each attribute, and his preferences about aggregation o…