L-FUZZY UNIFORM SPACES

Title & Authors
L-FUZZY UNIFORM SPACES
Yue, Yue-Li; Shi, Fu-Gui;

Abstract
The aim of this paper is to study L-fuzzy uniformizable spaces. A new kind of topological fuzzy remote neighborhood system is defined and used for investigating the relationship between L-fuzzy co-topology and L-fuzzy (quasi-)uniformity. It is showed that this fuzzy remote neighborhood system is different from that in [23] when $\small{\mathcal{U}}$ is an L-fuzzy quasi-uniformity and they will be coincident when $\small{\mathcal{U}}$ is an L-fuzzy uniformity. It is also showed that each L-fuzzy co-topological space is L-fuzzy quasi-uniformizable.
Keywords
L-fuzzy co-topology;fuzzy remote neighborhood system;L-fuzzy (quasi-)uniformity;
Language
English
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