signed discrete Choquet integral; signed capacity; Lovász extension; functional equation; comonotonic additivity; homogeneity; axiomatization
Résumé :
[en] We study the so-called signed discrete Choquet integral (also called non-monotonic discrete Choquet integral) regarded as the Lovász extension of a pseudo-Boolean function which vanishes at the origin. We present axiomatizations of this generalized Choquet integral, given in terms of certain functional equations, as well as by necessary and sufficient conditions which reveal desirable properties in aggregation theory.
Disciplines :
Méthodes quantitatives en économie & gestion Mathématiques
Identifiants :
UNILU:UL-ARTICLE-2011-148
Auteur, co-auteur :
Cardin, Marta; University Ca’ Foscari of Venice, Italy > Department of Applied Mathematics
COUCEIRO, Miguel ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Giove, Silvio; University Ca’ Foscari of Venice, Italy > Department of Applied Mathematics
MARICHAL, Jean-Luc ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Langue du document :
Anglais
Titre :
Axiomatizations of signed discrete Choquet integrals
Date de publication/diffusion :
avril 2011
Titre du périodique :
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
