Regularity of null-additive fuzzy measure on metric spaces

DOI10.1080/0308107031000107775zbMath1030.28010OpenAlexW1981286794MaRDI QIDQ4408653

Jun Li, Jinjie Song

Publication date: 18 February 2004

Published in: International Journal of General Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/0308107031000107775

zbMATH Keywords

regularityEgoroff's theoremLusin's theoremnull-additive fuzzy measures

Mathematics Subject Classification ID

Fuzzy measure theory (28E10)

Related Items (11)

Lusin's theorem on fuzzy measure spaces ⋮ A Jensen type inequality for fuzzy integrals ⋮ Inner and outer representation by Choquet integral ⋮ A Lusin type theorem for regular monotone uniformly autocontinuous set multifunctions ⋮ 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 ⋮ Convergence theorems for monotone measures ⋮ Regularity and autocontinuity of set multifunctions ⋮ Lusin's theorem for monotone set-valued measures on topological spaces ⋮ On the analysis and computation of topological fuzzy measure in distributed monoid spaces ⋮ Regularity of fuzzy measures on complete and separable metric spaces

Cites Work

• Convergence of sequence of measurable functions on fuzzy measure spaces
• A further investigation for fuzzy measures on metric spaces
• On the regularity of the fuzzy measure on metric fuzzy measure spaces
• Fuzzy regular measures on topological spaces

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