On the extension of the fuzzy number measures in Banach spaces. I: Representation of the fuzzy number measures

DOI10.1016/0165-0114(96)84616-1zbMath0930.28013OpenAlexW2064929106MaRDI QIDQ678967

Congxin Wu, Xiao-Ping Xue, Ming-Hu Ha

Publication date: 27 April 1997

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

Full work available at URL: https://doi.org/10.1016/0165-0114(96)84616-1

zbMATH Keywords

Banach spacesrandom fuzzy numbersset-valued measuresindefinite integralfuzzy number measures

Mathematics Subject Classification ID

Fuzzy measure theory (28E10) Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces) (46G99)

Related Items (7)

A new fuzzy-valued integral and its convergence theorems ⋮ Lebesgue decomposition theorem and weak Radon-Nikodým theorem for generalized fuzzy number measures ⋮ A new integral with respect to a generalized fuzzy number measure ⋮ An embedding theorem for fuzzy numbers on Banach spaces and its applications ⋮ A new fuzzy McShane integrability ⋮ Some properties and convergence theorems for fuzzy-valued Kluvánek-Lewis integrals ⋮ Radon-Nikodym theorem and Vitali-Hahn-Saks theorem on fuzzy number measures in Banach spacers

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• Contributions to the Theory of Set Valued Functions and Set Valued Measures
• Set-Valued Measures
• Fuzzy random variables
• Fuzzy differential equations

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