On the convergence of fuzzy-number-valued functions
type: Item
instance of: scholarly article
title: On the convergence of fuzzy-number-valued functions
zbMATH Open document ID: 0924.26015
DOI: 10.1016/S0165-0114(96)00034-6
author: Byung Moon Ghil
published in: Fuzzy Sets and Systems
publication date: 1999-11-03T00:00:00Z
review text: Let be given a sequence of uniformly continuous real-valued functions, converging uniformly over a separable Banach space \(X\). These functions, via the extension principle of Zadeh, are extended to fuzzy-number-valued functions defined on the same space \(X\). The author proves that this new sequence converges uniformly with respect to the Hausdorff metric. A suitable example shows that this result is false if the assigned sequence converges pointwise.
reviewed by: Salvatore Sessa
Mathematics Subject Classification ID: 26E50
Mathematics Subject Classification ID: 46S40
zbMATH DE Number: 1255767
zbMATH Keywords: fuzzy-number-valued functions
zbMATH Keywords: Hausdorff metric
zbMATH Keywords: convergence
MaRDI profile type: Publication
cites work: Q5522002
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description: scientific article; zbMATH DE number 1255767