A remark on stationary fuzzy metric spaces

A remark on stationary fuzzy metric spaces

Show other versions (1)

The main result states that the category of stationary fuzzy metric spaces (with respect to an archimedean $t$-norm) and nonexpanding maps is isomorphic to a full subcategory of the category of metric spaces and nonexpanding maps. The case of non-archimedean $t$-norms is also discussed.

Bibliographic Details
Main Author: A. Savchenko
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2013-01-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Online Access:http://journals.pu.if.ua/index.php/cmp/article/view/85
id doaj-85d2532b0b0a475c9d616ce35c4a28f7
record_format Article
spelling doaj-85d2532b0b0a475c9d616ce35c4a28f72020-11-25T01:29:36ZengVasyl Stefanyk Precarpathian National UniversityKarpatsʹkì Matematičnì Publìkacìï2075-98272313-02102013-01-013112412910.15330/cmp.3.1.124-12989A remark on stationary fuzzy metric spacesA. Savchenko0Kherson State Agricultural UniversityThe main result states that the category of stationary fuzzy metric spaces (with respect to an archimedean $t$-norm) and nonexpanding maps is isomorphic to a full subcategory of the category of metric spaces and nonexpanding maps. The case of non-archimedean $t$-norms is also discussed.http://journals.pu.if.ua/index.php/cmp/article/view/85
collection DOAJ
language English
format Article
sources DOAJ
author A. Savchenko
spellingShingle A. Savchenko
A remark on stationary fuzzy metric spaces
Karpatsʹkì Matematičnì Publìkacìï
author_facet A. Savchenko
author_sort A. Savchenko
title A remark on stationary fuzzy metric spaces
title_short A remark on stationary fuzzy metric spaces
title_full A remark on stationary fuzzy metric spaces
title_fullStr A remark on stationary fuzzy metric spaces
title_full_unstemmed A remark on stationary fuzzy metric spaces
title_sort remark on stationary fuzzy metric spaces
publisher Vasyl Stefanyk Precarpathian National University
series Karpatsʹkì Matematičnì Publìkacìï
issn 2075-9827
2313-0210
publishDate 2013-01-01
description The main result states that the category of stationary fuzzy metric spaces (with respect to an archimedean $t$-norm) and nonexpanding maps is isomorphic to a full subcategory of the category of metric spaces and nonexpanding maps. The case of non-archimedean $t$-norms is also discussed.
url http://journals.pu.if.ua/index.php/cmp/article/view/85
work_keys_str_mv AT asavchenko aremarkonstationaryfuzzymetricspaces
AT asavchenko remarkonstationaryfuzzymetricspaces
_version_ 1725096071800029184

Similar Items