Discrete Integrals Based on Comonotonic Modularity
Copyright policy )Discrete Integrals Based on Comonotonic Modularity
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.
Physique, chimie, mathématiques & sciences de la terre, Fuzzy measure theory, discrete Sugeno integral, [MATH] Mathematics [math], comonotonic modularity, 003, discrete Choquet integral, 510, Functional Analysis (math.FA), Mathematics - Functional Analysis, Mathématiques, comonotonic additivity, Physical, chemical, mathematical & earth Sciences, 26B35, 39B22, 39B72, QA1-939, FOS: Mathematics, axiomatization, functional equation, Recherche opérationnelle, Mathematics, aggregation function
Physique, chimie, mathématiques & sciences de la terre, Fuzzy measure theory, discrete Sugeno integral, [MATH] Mathematics [math], comonotonic modularity, 003, discrete Choquet integral, 510, Functional Analysis (math.FA), Mathematics - Functional Analysis, Mathématiques, comonotonic additivity, Physical, chemical, mathematical & earth Sciences, 26B35, 39B22, 39B72, QA1-939, FOS: Mathematics, axiomatization, functional equation, Recherche opérationnelle, Mathematics, aggregation function
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