Fuzzy uniformities induced by fuzzy proximities

Given a fuzzy proximity δ, we construct a fuzzy uniformity (in the sense of Lowen) which turns out to be the coarse stone among those which induce δ. We show that some basic theorems of general topology about precompact uniformities have a nice extension to fuzzy set topology.

Saved in:
Bibliographic Details
Published inFuzzy sets and systems Vol. 31; no. 1; pp. 111 - 121
Main Authors Artico, Giuliano, Moresco, Roberto
Format Journal Article
LanguageEnglish
Published Elsevier B.V 30.05.1989
Subjects
functor
fuzzy proximity space and map
Fuzzy uniform space and map
precompact uniformity
fuzzy proximity space and map
precompact uniformity
functor
54A40
Fuzzy uniform space and map
Online AccessGet full text

Cover

More Information
Summary:Given a fuzzy proximity δ, we construct a fuzzy uniformity (in the sense of Lowen) which turns out to be the coarse stone among those which induce δ. We show that some basic theorems of general topology about precompact uniformities have a nice extension to fuzzy set topology.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0165-0114
1872-6801
DOI:10.1016/0165-0114(89)90070-5