Lebesgue theorems in non-additive measure theory

DOI10.1016/j.fss.2004.03.022zbMath1059.28016OpenAlexW2014366964MaRDI QIDQ705528

Jun Li, Jinjie Song

Publication date: 31 January 2005

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

Full work available at URL: https://doi.org/10.1016/j.fss.2004.03.022

zbMATH Keywords

convergence in measureLebesgue's theoremnon-additive measure

Mathematics Subject Classification ID

Fuzzy measure theory (28E10)

Related Items (10)

A METRIC ON SPACE OF MEASURABLE FUNCTIONS AND THE RELATED CONVERGENCE ⋮ The concave integral over large spaces ⋮ Pseudo-Convergences of Sequences of Measurable Functions on Monotone Multimeasure Spaces ⋮ A note on the space of fuzzy measurable functions for a monotone measure ⋮ Autocontinuity and convergence theorems for the Choquet integral ⋮ A set-valued Egoroff type theorem ⋮ A unified approach to the monotone convergence theorem for nonlinear integrals ⋮ Convergence theorems for monotone measures ⋮ Some remarks on the double asymptotic null-additivity of monotonic measures and related applications ⋮ Generalized convergence theorems for monotone measures

Cites Work

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• A theory of fuzzy measures: Representations, the Choquet integral, and null sets
• Order continuous of monotone set function and convergence of measurable functions sequence
• Conditions for Egoroff's theorem in non-additive measure theory

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