The Hausdorff fuzzy quasi-metric
type: Item
instance of: scholarly article
title: The Hausdorff fuzzy quasi-metric
zbMATH Open document ID: 1205.54015
author: J. M. Sánchez-Álvarez
author: Jesús Rodríguez-López
author: Salvador Romaguera
published in: Fuzzy Sets and Systems
publication date: 2010-05-10T00:00:00Z
review text: Removing the condition of symmetry in the notion of a fuzzy (pseudo-)metric in Kramosil and Michalek's sense, one has the notion of a fuzzy quasi-(pseudo-)metric. Then for each fuzzy quasi-pseudo-metric on a set \(X\), a fuzzy quasi-pseudo-metric is constructed on the collection of all nonempty subsets of \(X\), called the Hausdorff fuzzy quasi-pseudo-metric. Some properties of this structure are investigated. In fact, a KM fuzzy metric is exactly a \((2, I)\)-fuzzy metric which can be found in the reviewer's paper \textit{F.-G. Shi} [Indian J. Math. 52, No.~2, 231--250 (2010; Zbl 1204.54007)].
reviewed by: Fu-Gui Shi
Mathematics Subject Classification ID: 54A40
Mathematics Subject Classification ID: 03E72
Mathematics Subject Classification ID: 54E35
zbMATH DE Number: 5706283
zbMATH Keywords: Hausdorff fuzzy quasi-pseudo-metric
zbMATH Keywords: complete
zbMATH Keywords: precompact
zbMATH Keywords: preorder
zbMATH Keywords: domain of words
MaRDI profile type: Publication
full work available at URL: j.fss.2009.09.019
OpenAlex ID: W2154084163
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DOI: 10.1016/J.FSS.2009.09.019
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