54 citations · 81 across the 8 of their papers we have counts for
8 papers
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…
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…
The Möbius transform on symmetric ordered structures and its application to capacities on finite sets
Michel Grabisch
Considering a linearly ordered set, we introduce its symmetric version, and endow it with two operations extending supremum and infimum, so as to obtain an algebraic structure clos…
Axiomatic structure of k-additive capacities
Pedro Miranda, Michel Grabisch, Pedro Gil
In this paper we deal with the problem of axiomatizing the preference relations modelled through Choquet integral with respect to a -additive capacity, i.e. whose Möbius transfo…
Derivative of functions over lattices as a basis for the notion of interaction between attributes
Michel Grabisch, Christophe Labreuche
The paper proposes a general notion of interaction between attributes, which can be applied to many fields in decision making and data analysis. It generalizes the notion of intera…
Bi-capacities -- Part I: definition, Möbius transform and interaction
Michel Grabisch, Christophe Labreuche
Bi-capacities arise as a natural generalization of capacities (or fuzzy measures) in a context of decision making where underlying scales are bipolar. They are able to capture a wi…