Discrete Integrals Based on Comonotonic Modularity
AbstractIt 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.
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Couceiro, M.; Marichal, J.-L. Discrete Integrals Based on Comonotonic Modularity. Axioms 2013, 2, 390-403.
Couceiro M, Marichal J-L. Discrete Integrals Based on Comonotonic Modularity. Axioms. 2013; 2(3):390-403.Chicago/Turabian Style
Couceiro, Miguel; Marichal, Jean-Luc. 2013. "Discrete Integrals Based on Comonotonic Modularity." Axioms 2, no. 3: 390-403.