Choquet integral calculus on a continuous support and its applications

Article dans une revue: 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.

Auteur(s)

Mustapha Ridaoui, Michel Grabisch

Revue
  • Operations Research and Decisions
Date de publication
  • 2016
Mots-clés
  • Choquet integral
  • Distorted Lebesgue measure
  • Risk measure
  • OWA oper-ator
Version
  • 1