Weak convergence of nonadditive measures based on nonlinear integral functionals

DOI10.1016/j.fss.2015.02.011zbMath1374.28029OpenAlexW2034435408MaRDI QIDQ1677823

Jun Kawabe

Publication date: 13 November 2017

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

Full work available at URL: https://doi.org/10.1016/j.fss.2015.02.011

zbMATH Keywords

perturbationChoquet integralintegral functionalSugeno integralShilkret integralnonadditive measureweak convergence of measuresportmanteau theorem

Mathematics Subject Classification ID

Fuzzy measure theory (28E10)

Related Items (7)

The Sugeno integral. A point of view ⋮ Sharp bounds of Jensen type for the generalized Sugeno integral ⋮ A unified approach to the monotone convergence theorem for nonlinear integrals ⋮ Convergence in measure theorems of nonlinear integrals of functions integrable to the \(p\)th power ⋮ The Vitali convergence in measure theorem of nonlinear integrals ⋮ Generalization of Portmanteau theorem for a sequence of interval-valued pseudo-probability measures ⋮ Nonadditive measures and nonlinear integrals —focusing on a theoretical aspect—

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