Simplification of Erceg's fuzzy metric function and its application
type: Item
instance of: scholarly article
title: Simplification of Erceg's fuzzy metric function and its application
zbMATH Open document ID: 0796.54007
DOI: 10.1016/0165-0114(93)90275-M
author: Yu Wei Peng
published in: Fuzzy Sets and Systems
publication date: 1994-01-27T00:00:00Z
review text: This paper uses the theory of continuous lattices, in particular the relation ``way below'' to simplify significantly the fuzzy metric first introduced by Erceg. This pointwise fuzzy metric induces the same fuzzy topology as that of Erceg and reduces to the Hausdorff metric on a crisp set. Some properties of such fuzzy metric spaces are studied, in particular that of countable products.
Mathematics Subject Classification ID: 54A40
zbMATH DE Number: 487492
zbMATH Keywords: continuous lattices
zbMATH Keywords: pointwise fuzzy metric
MaRDI profile type: Publication
cites work: Metric spaces in fuzzy set theory
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cites work: Uniformities on fuzzy topological spaces
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description: scientific article; zbMATH DE number 487492