A unified approach to the monotone convergence theorem for nonlinear integrals
type: Item
instance of: scholarly article
title: A unified approach to the monotone convergence theorem for nonlinear integrals
zbMATH Open document ID: 1368.28007
author: Jun Kawabe
published in: Fuzzy Sets and Systems
publication date: 2017-08-09T00:00:00Z
Mathematics Subject Classification ID: 28E10
zbMATH DE Number: 6758876
zbMATH Keywords: nonadditive measure
zbMATH Keywords: nonlinear integral
zbMATH Keywords: monotone convergence theorem
zbMATH Keywords: integral functional
zbMATH Keywords: perturbation
MaRDI profile type: Publication
full work available at URL: j.fss.2016.06.013
OpenAlex ID: W2462821663
cites work: Q4788832
cites work: Q3663565
cites work: The smallest semicopula-based universal integrals. II: Convergence theorems
cites work: Theory of capacities
cites work: Real Analysis and Probability
cites work: A note on the convergence theorem of generalized fuzzy integrals
cites work: Weak convergence of bounded monotone set functions in an abstract setting
cites work: Fuzzy measures and integrals. Theory and applications
cites work: Integrale monotono
cites work: Convergence theorems for monotone measures
cites work: The bounded convergence in measure theorem for nonlinear integral functionals
cites work: Weak convergence of nonadditive measures based on nonlinear integral functionals
cites work: Nonlinearity of the fuzzy integral
cites work: Measure and Integration
cites work: Further discussion on convergence theorems for seminormed fuzzy integrals and semiconormed fuzzy integrals
cites work: On the monotone convergence theorem for conormed-seminormed fuzzy integral
cites work: Search and Knightian uncertainty
cites work: Q4859898
cites work: Large deviations and idempotent probability
cites work: The fuzzy integral
cites work: Autocontinuity and convergence theorems for the Choquet integral
cites work: Integral Representation Without Additivity
cites work: Statistical metric spaces
cites work: Q5622474
cites work: Q3856990
cites work: Q3884340
cites work: Lebesgue theorems in non-additive measure theory
cites work: Q3781964
cites work: Two families of fuzzy integrals
cites work: Pseudo-additive measures and integrals
cites work: Q4308754
cites work: The autocontinuity of set function and the fuzzy integral
cites work: CONVERGENCE THEOREMS FOR SEQUENCES OF CHOQUET INTEGRALS
cites work: Generalized Measure Theory
cites work: Q5322361
cites work: Generalized fuzzy integrals. I: Fundamental concepts
cites work: Corrections and remarks to the paper ``On the convergence theorems of generalized fuzzy integral sequence''.
cites work: Q3781312
cites work: Generalized Lebesgue integral
cites work: Q3954015
cites work: Q3784354
DOI: 10.1016/J.FSS.2016.06.013
description: scientific article; zbMATH DE number 6758876