Stochastic convergence, uniform integrability and convergence in mean on fuzzy measure spaces

DOI10.1016/S0165-0114(01)00159-2zbMath1003.28014MaRDI QIDQ698807

M. C. Fu

Publication date: 30 September 2002

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

zbMATH Keywords

Choquet integraluniform integrabilityfuzzy measuresconvergence in meannon-additive measuresdominated convergence theoremstochastic convergenceconvergence of sequences of measurable functions

Mathematics Subject Classification ID

Fuzzy measure theory (28E10)

Related Items (3)

Generalized Lebesgue integral ⋮ The Vitali convergence in measure theorem of nonlinear integrals ⋮ Nonadditive measures and nonlinear integrals —focusing on a theoretical aspect—

Cites Work

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• Decision making problems in a general environment
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• Upper and lower fuzzy measures
• On the pseudo-autocontinuity of fuzzy measures
• Convergence of sequence of measurable functions on fuzzy measure spaces
• Characterization and comparison of Sugeno and Choquet integrals
• Non-additive measure and integral
• Pseudometric generating property and autocontinuity of fuzzy measures
• Property (S) of fuzzy measure and Riesz theorem
• Theory of capacities

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