Abstract-- Choquet integral has proved to be an effective aggregation model in multiple criteria decision analysis when interactions between criteria have to be taken into consider...
The Choquet integral w.r.t. a capacity can be seen in the finite case as a parsimonious linear interpolator between vertices of [0, 1]n. We take this basic fact as a starting poin...
We introduce a measure of entropy for any discrete Choquet capacity and we interpret it in the setting of aggregation by the Choquet integral. Keywords : entropy, discrete Choquet...
A Sugeno and a Choquet integrals are commonly used fuzzy integrals for aggregation. As a generalization of both integrals, the twofold integral is induced. The twofold integral en...
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 inter...
We study the notion of conditional relative importance in a quantitative framework. This is an important notion in the context of the Choquet integral since this latter is usually...
In decision under uncertainty, the Choquet integral yields the expectation of a random variable with respect to a fuzzy measure (or non-additive probability or capacity). In gener...
We investigate the distribution functions and the moments of the so-called Choquet integral, also known as the Lov´asz extension, when regarded as a real function of a random sam...
The Choquet integral has been applied in data mining, such as nonlinear multiregressions and nonlinear classifications. Adopting signed efficiency measure in the Choquet integral ...