Convergence properties of the monotone expectation and its application to the extension of fuzzy measures

DOI10.1016/0165-0114(89)90241-8zbMath0689.28009OpenAlexW2150954822MaRDI QIDQ581694

Manuel Jorge Bolaños Carmona, Antonio González Muñoz, Luis Miguel de Campos Ibañez

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0165-0114(89)90241-8

zbMATH Keywords

fuzzy integralChoquet's integral operatorfunctional on fuzzy measuresmonotone expectation

Mathematics Subject Classification ID

Fuzzy measure theory (28E10)

Related Items (10)

Monotone set functions defined by Choquet integral ⋮ On the convergence of the fuzzy valued functional defined by \(\mu\)-integrable fuzzy valued functions ⋮ Choquet integral of fuzzy-number-valued functions: the differentiability of the primitive with respect to fuzzy measures and Choquet integral equations ⋮ A unified approach to define fuzzy integrals ⋮ Unnamed Item ⋮ Stochastic convergence, uniform integrability and convergence in mean on fuzzy measure spaces ⋮ Linguistic quantifiers based on Choquet integrals ⋮ Choquet integrals and natural extensions of lower probabilities ⋮ Characterization and comparison of Sugeno and Choquet integrals ⋮ Real-valued Choquet integrals for set-valued mappings

Cites Work

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• Fuzzy integrals and conditional fuzzy measures
• Two integrals and some modified versions - critical remarks
• Entropy and fuzzy integral
• The fuzzy integral
• The degree of belief in a fuzzy event
• Probability measures of fuzzy events
• Theory of capacities

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