Axiomatizations of the discrete Choquet integral and extensions

DOI10.2991/EUSFLAT.2011.149zbMATH Open1254.28016OpenAlexW2149817561MaRDI QIDQ4902448

Miguel Couceiro, Jean-Luc Marichal

Publication date: 15 January 2013

Published in: Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-2011) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2991/eusflat.2011.149

zbMATH Keywords

functional equationCauchy equationaggregation functionLovász extensioncomonotonic additivitydiscrete Choquet integralhorizontal additivitydiscrete symmetric Choquet integral

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Fuzzy measure theory (28E10)

Related Items (3)

Conjoint Axiomatization of the Choquet Integral for Heterogeneous Product Sets ⋮ The domination of \(g\)-evaluations and Choquet evaluations ⋮ Complete Axiomatization of Discrete-Measure Almost-Everywhere Quantification

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