Lusin's theorem on fuzzy measure spaces

DOI10.1016/S0165-0114(03)00207-0zbMath1046.28012MaRDI QIDQ1876507

Masami Yasuda, Jun Li

Publication date: 20 August 2004

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

zbMATH Keywords

regularityfuzzy measureEgoroff theoremnon-additive measuresLusin's theoremapproximation in the meanweakly null-additivity

Mathematics Subject Classification ID

Fuzzy measure theory (28E10)

Related Items (19)

A Jensen type inequality for fuzzy integrals ⋮ Inner and outer representation by Choquet integral ⋮ Regularity and Lusin's theorem for Riesz space-valued fuzzy measures ⋮ Some notes on monotone set-valued measures and Egoroff's theorem ⋮ A Lusin type theorem for regular monotone uniformly autocontinuous set multifunctions ⋮ The Alexandroff theorem for Riesz space-valued non-additive measures ⋮ On a sufficient condition of Lusin's theorem for non-additive measures that take values in an ordered topological vector space ⋮ Set-valued Lusin type theorem for null-null-additive set multifunctions ⋮ Lusin's theorem on monotone measure spaces ⋮ A set-valued Egoroff type theorem ⋮ Convergence theorems for monotone measures ⋮ Regularities of Riesz space-valued non-additive measures with applications to convergence theorems for Choquet integrals ⋮ Integral with Respect to a Non Additive Measure: An Overview ⋮ Lusin's theorem for monotone set-valued measures on topological spaces ⋮ Nonadditive measures and nonlinear integrals —focusing on a theoretical aspect— ⋮ On Lusin's theorem for non-additive measures that take values in an ordered topological vector space ⋮ On a Lusin theorem for capacities ⋮ Approximation of fuzzy neural networks based on Choquet integral ⋮ Regularity of fuzzy measures on complete and separable metric spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Convergence of sequence of measurable functions on fuzzy measure spaces
• A further investigation for fuzzy measures on metric spaces
• Fuzzy measures on metric spaces
• On Egoroff's theorems on fuzzy measure spaces
• On the regularity of the fuzzy measure on metric fuzzy measure spaces
• Regularity of null-additive fuzzy measure on metric spaces
• Fuzzy regular measures on topological spaces

This page was built for publication: Lusin's theorem on fuzzy measure spaces