A note on derivatives of functions with respect to fuzzy measures

DOI10.1016/j.fss.2012.11.003zbMath1284.28018OpenAlexW2044366386MaRDI QIDQ2445417

Michio Sugeno

Publication date: 14 April 2014

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.fss.2012.11.003

zbMATH Keywords

Choquet integralfuzzy measureChoquet integral equationderivative with respect to fuzzy measuredifferential equation with respect to fuzzy measure

Mathematics Subject Classification ID

Fuzzy measure theory (28E10)

Related Items (22)

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• An interpretation of fuzzy measures and the Choquet integral as an integral with respect to a fuzzy measure
• The fuzzy integral
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• Advances in prospect theory: cumulative representation of uncertainty
• Non-monotonic fuzzy measures and the Choquet integral
• Theory of capacities
• A Radon-Nikodym theorem for capacities.
• Integral Representation Without Additivity
• Completely monotonic functions
• An Introduction to Random Sets
• A decade of application of the Choquet and Sugeno integrals in multi-criteria decision aid

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