AXIOMATIZATIONS OF SIGNED DISCRETE CHOQUET INTEGRALS

DOI10.1142/S0218488511006964zbMath1382.28015arXiv1007.0711OpenAlexW2014936898MaRDI QIDQ2907969

Miguel Couceiro, Jean-Luc Marichal, Silvio Giove, Marta Cardin

Publication date: 4 September 2012

Published in: International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.0711

zbMATH Keywords

functional equationhomogeneityaxiomatizationLovász extensioncomonotonic additivitysigned capacitysigned discrete Choquet integral

Mathematics Subject Classification ID

Decision theory (91B06) Fuzzy measure theory (28E10)

Related Items (2)

Discrete integrals and axiomatically defined functionals ⋮ Discrete integrals based on comonotonic modularity

Cites Work

• Characterization and comparison of Sugeno and Choquet integrals
• Non-monotonic fuzzy measures and the Choquet integral
• Theory of capacities
• Extensions of functions of 0-1 variables and applications to combinatorial optimization
• Nonmonotonic Choquet integrals

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