%0 Journal Article
%T Uniformities in fuzzy metric spaces
%J Iranian Journal of Fuzzy Systems
%I University of Sistan and Baluchestan
%Z 1735-0654
%A Yue, Yueli
%A Fang, Jinming
%D 2015
%\ 02/28/2015
%V 12
%N 1
%P 43-57
%! Uniformities in fuzzy metric spaces
%K Fuzzy metric
%K $I$-uniformity
%K Hutton quasi-uniformity
%R 10.22111/ijfs.2015.1841
%X The aim of this paper is to study induced (quasi-)uniformities in Kramosil and Michalek's fuzzy metric spaces. Firstly, $I$-uniformity in the sense of J. Guti'{e}rrezĀ Garc'{i}a and $I$-neighborhood system in the sense of H"{o}hle and u{S}ostak are induced by the given fuzzy metric. It is shown that the fuzzy metric and the induced $I$-uniformity will generate the same $I$-neighborhood system. Secondly, the relationship between Hutton quasi-uniformities and $I$-quasi-uniformities is given and it is proved that the category of strongly stratified $I$-quasi-uniform spaces can be embedded in the category of Hutton quasi-uniform spaces as a bicoreflective subcategory. Also it is shown that two kinds of Hutton quasi-uniformities can generate the same $I$-uniformity in fuzzy metric spaces.
%U https://ijfs.usb.ac.ir/article_1841_934512989c8d6bed65891801d995c6a2.pdf