Discrete integrals based on comonotonic modularity - Archive ouverte HAL Access content directly
Journal Articles Axioms Year : 2013

Discrete integrals based on comonotonic modularity

Abstract

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.
Fichier principal
Vignette du fichier
DiscreteIntegralBasedCoModularity.pdf (124.68 Ko) Télécharger le fichier
Origin Files produced by the author(s)
Loading...

Dates and versions

hal-01090567 , version 1 (18-02-2017)

Identifiers

Cite

Miguel Couceiro, Jean-Luc Marichal. Discrete integrals based on comonotonic modularity. Axioms, 2013, 2 (3), pp.14. ⟨10.3390/axioms2030390⟩. ⟨hal-01090567⟩
147 View
54 Download

Altmetric

Share

Gmail Mastodon Facebook X LinkedIn More