Fundamental convergence of sequences of measurable functions on fuzzy measure space
type: Item
instance of: scholarly article
title: Fundamental convergence of sequences of measurable functions on fuzzy measure space
zbMATH Open document ID: 0926.28010
DOI: 10.1016/S0165-0114(96)00314-4
author: Congxin Wu
author: Ming-Hu Ha
author: Xi-Zhao Wang
published in: Fuzzy Sets and Systems
publication date: 1999-06-17T00:00:00Z
review text: A fuzzy measure is considered as a monotone, continuous (from above and from below) extended real-valued function \(m\) defined on a \(\sigma\)-algebra such that \(m(\emptyset)=0\). It is said to be asymptotically null-additive, if \(m(A_n\cup B_m) \to 0\) \((n\to \infty,\;m\to \infty)\) whenever \(m(A_n) \to 0\) and \(m(B_m)\to 0\). It is proved that if \(m\) is asymptotically null-additive, then a sequence is fundamental in \(m\) if and only if the sequence is convergent in \(m\).
Mathematics Subject Classification ID: 28E10
zbMATH DE Number: 1305141
zbMATH Keywords: fundamental convergence
zbMATH Keywords: sequence of measurable functions
zbMATH Keywords: fuzzy measure
reviewed by: Beloslav Riečan
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1305141