期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2006
卷号：2006
DOI：10.1155/IJMMS/2006/25094
出版社：Hindawi Publishing Corporation
摘要：The main purpose of this paper is to introduce a new structure
that is a fuzzy TL-uniform space. We show that our structure
generates a fuzzy topological space, precisely, a fuzzy
T-locality space. Also, we deduce the concept of level
uniformities of a fuzzy TL-uniformity. We connect the category
of fuzzy TL-uniform spaces with the category of uniform spaces.
We establish a necessary and sufficient condition, under which a
fuzzy TL-uniformity is probabilistic pseudometrizable. Finally,
we define a functor from the category of fuzzy TL-uniform spaces
into the category of fuzzy T-locality spaces and we show that it
preserves optimal lifts.
