Axiomatic Approach to Monotone Measures and Integrals
390-403
Yes (verified by ORBilu)
International
2075-1680
[en] aggregation function ; discrete Choquet integral ; discrete Sugeno integral ; functional equation ; comonotonic additivity ; comonotonic modularity ; axiomatization
[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.
[University Paris-Dauphine, Paris, France > Lamsade]
