A Lusin type theorem for regular monotone uniformly autocontinuous set multifunctions

DOI10.1016/j.fss.2010.05.015zbMath1209.28023OpenAlexW2125679192MaRDI QIDQ622058

Alina Cristiana Gavriluţ

Publication date: 31 January 2011

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

Full work available at URL: https://doi.org/10.1016/j.fss.2010.05.015

zbMATH Keywords

monotoneatomregularLusin theoremautocontinuous from aboveexhaustivefinitely purely atomicmultisubmeasureorder-continuousuniformly autocontinuous

Mathematics Subject Classification ID

Fuzzy measure theory (28E10)

Related Items

Atomicity via regularity for non-additive set multifunctions ⋮ Some notes on monotone set-valued measures and Egoroff's theorem ⋮ Set-valued Lusin type theorem for null-null-additive set multifunctions ⋮ Convergence theorems for monotone measures ⋮ The pseudo-convergence of measurable functions on set-valued fuzzy measure space ⋮ Lusin's theorem for monotone set-valued measures on topological spaces

Cites Work

• Generalized measures
• Modeling attitude to risk in human decision processes: an application of fuzzy measures
• Regularity and Lusin's theorem for Riesz space-valued fuzzy measures
• Non-atomicity and the Darboux property for fuzzy and non-fuzzy Borel/Baire multivalued set functions
• Some notes on the regularity of fuzzy measures on metric spaces
• On set-valued fuzzy integrals
• Fuzzy measures on metric spaces
• On set-valued fuzzy measures.
• Regular fuzzy measure and representation of comonotonically additive functional
• Pseudo-additive measures and triangular-norm-based conditioning
• Finitely purely atomic measures: coincidence and rigidity properties
• Lusin's theorem on fuzzy measure spaces
• On the regularity of the fuzzy measure on metric fuzzy measure spaces
• Lebesgue and Saks decompositions of \(\sigma\)-finite fuzzy measures
• Generalized fuzzy integrals of set-valued functions
• A fuzzy Gould type integral
• Regularity and autocontinuity of set multifunctions
• Regularity of null-additive fuzzy measure on metric spaces
• Fuzzy regular measures on topological spaces
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