[en] It is known that several discrete integrals, including the Choquet and Sugeno integrals as well as some of their generalizations, are comonotonically modular functions. Based on a recent description of the class of comonotonically modular functions, we axiomatically identify more general families of discrete integrals that are comonotonically modular, including signed Choquet integrals and symmetric signed Choquet integrals as well as natural extensions of Sugeno integrals.
Disciplines :
Mathématiques
Auteur, co-auteur :
Couceiro, Miguel; University Paris-Dauphine, Paris, France > Lamsade
MARICHAL, Jean-Luc ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Langue du document :
Anglais
Titre :
Discrete integrals based on comonotonic modularity
Date de publication/diffusion :
23 juillet 2013
Titre du périodique :
Axioms
eISSN :
2075-1680
Maison d'édition :
MDPI
Titre particulier du numéro :
Axiomatic Approach to Monotone Measures and Integrals
