Reference : On the moments and the distribution of the Choquet integral
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On the moments and the distribution of the Choquet integral
Kojadinovic, Ivan mailto [Ecole polvtechnique de l'Université de Nantes, Nantes, France > LINA CNRS FRE 2729]
Marichal, Jean-Luc mailto [University of Luxembourg > Faculty of Law, Economics and Finance > Applied Mathematics Unit (SMA)]
New Dimensions in Fuzzy Logic and Related Technologies. Proceedings of the 5th EUSFLAT Conference, Ostrava, Czech Republic, September 11-14, 2007. Volume I: Invited Lectures and Special Sessions
Štěpnička, Martin
Novák, Vilém
Bodenhofer, Ulrich
Universitas Ostraviensis
Czech Republic
5th Conf. of the Eur. Society for Fuzzy Logic and Technology (EUSFLAT 2007)
from 11-09-2007 to 14-09-2007
Czech Republic
[en] discrete Choquet integral ; Lovász extension ; order statistic ; distribution function ; moment ; B-spline ; divided difference ; moment approximation ; asymptotic distribution
[en] We investigate the distribution functions and the moments of the so-called Choquet integral, also known as the Lovász extension, when regarded as a real function of a random sample drawn from a continuous population. Since the Choquet integral includes weighted arithmetic means, ordered weighted averaging operators, and lattice polynomials as particular cases, our results encompass the corresponding results for these aggregation operators. After recalling the results obtained by the authors in the uniform case, we present approaches that can be used in the non-uniform case to obtain moment approximations.
University of Luxembourg - UL
Recherches méthodologiques et mathématiques en aide à la décision et à la classification > 01/01/2005 – 12/12/2007 > BISDORFF Raymond
Researchers ; Professionals ; Students

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