InforLorV4, Hal, Checkpoint, bibRecord, 001342

Discrete integrals based on comonotonic modularity

Identifieur interne : 001342 ( Hal/Checkpoint ); précédent : 001341; suivant : 001343

Discrete integrals based on comonotonic modularity

Auteurs : Miguel Couceiro [France] ; Jean-Luc Marichal [Luxembourg (pays)]

Source :

RBID : Hal:hal-01090567

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.

Url:

https://hal.archives-ouvertes.fr/hal-01090567

DOI: 10.3390/axioms2030390

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Le document en format XML

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Discrete integrals based on comonotonic modularity

Discrete integrals based on comonotonic modularity

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