Lusin's theorem on monotone measure spaces

DOI10.1016/j.fss.2011.03.004zbMath1218.28012OpenAlexW2105340979MaRDI QIDQ549338

Radko Mesiar, Jun Li

Publication date: 15 July 2011

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

Full work available at URL: https://doi.org/10.1016/j.fss.2011.03.004

zbMATH Keywords

regularitynon-additive measuresLusin's theorem

Mathematics Subject Classification ID

Fuzzy measure theory (28E10) Nonstandard measure theory (28E05)

Related Items (15)

Atomicity via regularity for non-additive set multifunctions ⋮ A note on the Choquet integral as a set function on a locally compact space ⋮ Some notes on monotone set-valued measures and Egoroff's theorem ⋮ Using the monotone measure sum to enrich the measurement of the interaction of multiple decision criteria ⋮ Atoms of weakly null-additive monotone measures and integrals ⋮ 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 ⋮ Regularity aspects of non-additive set multifunctions ⋮ Atoms of monotone set-valued measures and integrals ⋮ Convergence theorems for monotone measures ⋮ 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 ⋮ The sum interaction indices of some particular families of monotone measures ⋮ Approximation of fuzzy neural networks based on Choquet integral ⋮ Regularity of fuzzy measures on complete and separable metric spaces

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• EGOROFF'S THEOREM ON MONOTONE NON-ADDITIVE MEASURE SPACES

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