Some notes on the characterization of compact sets of fuzzy sets with \(L_p\) metric
type: Item
instance of: scholarly article
title: Some notes on the characterization of compact sets of fuzzy sets with \(L_p\) metric
zbMATH Open document ID: 1175.54016
author: Congxin Wu
author: Zhitao Zhao
published in: Fuzzy Sets and Systems
publication date: 2009-08-28T00:00:00Z
review text: Let \((S^n_0,d_p)\) denote the space of fuzzy star-shaped numbers with respect to the origin with \(L_p\)-metric \(d_p\) for \(1\leq p<\infty\). The authors characterize compact sets in \((S^n_0,d_p)\). Let \((E^n, d_p)\) be the space of fuzzy numbers with \(L_p\)-metric \(d_p\). The compact sets in \((E^n,d_p)\) are also characterized.
reviewed by: K. Chandrasekhara Rao
Mathematics Subject Classification ID: 54A40
zbMATH DE Number: 5599447
zbMATH Keywords: fuzzy number
zbMATH Keywords: fuzzy star-shaped number
zbMATH Keywords: compact set
zbMATH Keywords: \(L_p\) metric
MaRDI profile type: Publication
full work available at URL: j.fss.2007.11.010
OpenAlex ID: W2027887682
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DOI: 10.1016/J.FSS.2007.11.010
description: scientific article; zbMATH DE number 5599447