A symmetric conjugate condition for the representation of comonotonically additive and monotone functionals

DOI10.1016/j.fss.2007.08.003zbMath1177.28042OpenAlexW1979816735MaRDI QIDQ834505

N. E. Zubov

Publication date: 26 August 2009

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

Full work available at URL: https://doi.org/10.1016/j.fss.2007.08.003

zbMATH Keywords

boundednessChoquet integralcomonotonically additive functionalnegative symmetric conjugatepositive symmetric conjugateregular fuzzy measure

Mathematics Subject Classification ID

Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Fuzzy measure theory (28E10)

Cites Work

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• A theory of fuzzy measures: Representations, the Choquet integral, and null sets
• Conditions for Choquet integral representation of the comonotonically additive and monotone functional.
• Regular fuzzy measure and representation of comonotonically additive functional
• Choquet integral and fuzzy measures on locally compact space
• A representation of a comonotone-\(\ovee\)-additive and monotone functional by two Sugeno integrals.
• Boundedness and symmetry of comonotonically additive functionals