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» On the Moments and the Distribution of the Choquet Integral
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EUSFLAT
2007
125views Fuzzy Logic» more  EUSFLAT 2007»
13 years 6 months ago
On the Moments and the Distribution of the Choquet Integral
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...
Ivan Kojadinovic, Jean-Luc Marichal
TFS
2008
94views more  TFS 2008»
13 years 4 months ago
An Empirical Study of Statistical Properties of the Choquet and Sugeno Integrals
This paper investigates the statistical properties of the Choquet and Sugeno integrals, used as multiattribute models. The investigation is done on an empirical basis, and focuses...
Michel Grabisch, Eric Raufaste
EUSFLAT
2003
13 years 6 months ago
Capacities on lattices and k-ary capacities
We propose a general notion of capacity defined on any finite distributive lattice, encompassing usual capacities, bi-capacities, and their immediate extensions called k-ary cap...
Michel Grabisch, Christophe Labreuche
ORL
2008
88views more  ORL 2008»
13 years 4 months ago
Approximating integrals of multivariate exponentials: A moment approach
We propose a method to calculate lower and upper bounds of some exponential multivariate integrals using moment relaxations and show that they asymptotically converge to the value...
Dimitris Bertsimas, Xuan Vinh Doan, Jean B. Lasser...
ISIPTA
2003
IEEE
13 years 10 months ago
Study of the Probabilistic Information of a Random Set
Given a random set coming from the imprecise observation of a random variable, we study how to model the information about the distribution of this random variable. Specifically,...
Enrique Miranda, Inés Couso, Pedro Gil