Fiche du document
2016
- handle: 10670/1.ccu8hf
- hal: hal-01373325
info:eu-repo/semantics/OpenAccess
Sujets proches
Parliamentary government Representation Self-government Political representation Papers Analysis (Mathematics)Citer ce document
Mustapha Ridaoui et al., « Choquet integral calculus on a continuous support and its applications », HAL-SHS : économie et finance, ID : 10670/1.ccu8hf
Métriques
Partage / Export
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.