The core of a sequence of fuzzy numbers
type: Item
instance of: scholarly article
title: The core of a sequence of fuzzy numbers
zbMATH Open document ID: 1179.26093
author: Salih Aytar
author: Musa Mammadov
author: Serpil Pehlivan
published in: Fuzzy Sets and Systems
publication date: 2009-08-28T00:00:00Z
review text: The authors investigate the convergence behaviour of bounded sequences of fuzzy numbers. The choosen topology is the usual one: the supremum of Hausdorff distances wrt alpha-level sets. They prove and compare some results wrt limes inferior (liminf) and limes superior (limsup). Especially they discuss situations where equivalent definitions of liminf and limsup in the real case now for fuzzy numbers are not equivalent. Furthermore they discuss the core of a bounded sequence \(X\) of fuzzy numbers, and they prove core(\(X\)) = [liminf\(X\), limsup\(X\)].
reviewed by: Wolfgang Näther
Mathematics Subject Classification ID: 26E50
zbMATH DE Number: 5599524
zbMATH Keywords: fuzzy numbers
zbMATH Keywords: convergence of a sequence of fuzzy numbers
zbMATH Keywords: limit superior
zbMATH Keywords: limit inferior
zbMATH Keywords: core of a sequence
MaRDI profile type: Publication
full work available at URL: j.fss.2008.03.027
OpenAlex ID: W1974317455
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DOI: 10.1016/J.FSS.2008.03.027
description: scientific article; zbMATH DE number 5599524