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20072025
most citedBi-capacities -- Part II: the Choquet integral

54 citations · 143 across the 34 of their papers we have counts for

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Showing 2008 · cs.DMShow all

9 papers · 2 filters

cs.DM2008

Belief functions on lattices

Michel Grabisch

We extend the notion of belief function to the case where the underlying structure is no more the Boolean lattice of subsets of some universal set, but any lattice, which we will e…

cs.DM2008★ 2 cited

On the vertices of the k-addiive core

Michel Grabisch, Pedro Miranda

The core of a game on , which is the set of additive games dominating such that , is a central notion in cooperative game theory, decision making and in c…

cs.DM2008★ 14 cited

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…

cs.DM2008

p-Symmetric fuzzy measures

Pedro Miranda, Michel Grabisch, Pedro Gil

In this paper we propose a generalization of the concept of symmetric fuzzy measure based in a decomposition of the universal set in what we have called subsets of indifference. So…

cs.DM2008

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…

cs.DM2008

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…