On fuzzy pseudo-metric spaces
type: Item
instance of: scholarly article
title: On fuzzy pseudo-metric spaces
zbMATH Open document ID: 1194.54014
author: Yue Li Yue
author: Fu-Gui Shi
published in: Fuzzy Sets and Systems
publication date: 2010-05-10T00:00:00Z
review text: Results of the paper include the following: Result 1. Let \(d_1\) and \(d_2\) be fuzzy pseudo-metrics for \(X\) and \(Y\), respectively. If \(F:(X,d_1)\to (Y,d_2)\) is continuous, then \(F:(X,\text{Id}_1)\to (Y,\text{Id}_2)\) is continuous. Result 2. Let \(\phi\) be a pseudo-metric chain on \(X\). Let \(d_\phi\) be a fuzzy pseudo-matrix for \(X\). Then \(I_{d_\phi}= I_\phi\). Result 3. Let \(F:(X,d_1)\to (Y,d_2)\) be continuous. Then \(F: (X, U^{d_1})\to (Y,U^{d_2})\) is uniformly continuous, where \(U^{d_1}\) and \(U^{d_2}\) are fuzzifying uniformities on \(X\) and \(Y\), respectively.
reviewed by: K. Chandrasekhara Rao
Mathematics Subject Classification ID: 54A40
zbMATH DE Number: 5706285
zbMATH Keywords: fuzzy pseudo-metric
zbMATH Keywords: generalized neighborhood system
zbMATH Keywords: fuzzifying topology
zbMATH Keywords: fuzzifying uniformity
MaRDI profile type: Publication
Wikidata QID: Q57587746
full work available at URL: j.fss.2009.10.001
OpenAlex ID: W2009194191
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DOI: 10.1016/J.FSS.2009.10.001
description: scientific article; zbMATH DE number 5706285