Choquet integral calculus on a continuous support and its applications - Archive ouverte HAL
Article Dans Une Revue Operations Research and Decisions Année : 2016

Choquet integral calculus on a continuous support and its applications

Résumé

In this paper we give representation results about the calculation of the Choquet integral of a monotone function on the nonnegative real line. Next, we represent the Choquet integral of nonmonotone functions, by construction of monotone functions from nonmonotone ones, by using the increasing and decreasing rearrangement of a nonmono-tone function. Finally, this paper is completed with some applications of these results to the continuous agregation operator OWA, and to the representation of risk measures by Choquet integral.
Fichier principal
Vignette du fichier
Choquet integral calculus.pdf (182.38 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01373325 , version 1 (28-09-2016)

Identifiants

  • HAL Id : hal-01373325 , version 1

Citer

Mustapha Ridaoui, Michel Grabisch. Choquet integral calculus on a continuous support and its applications. Operations Research and Decisions, 2016. ⟨hal-01373325⟩
229 Consultations
1413 Téléchargements

Partager

More