IJPAM: Volume 100, No. 3 (2015)

TOPOLOGICAL PROPERTIES OF
$L$-FUZZY UNIFORM SPACES

A.A. Ramadan$^1$, E.H. Elkordy$^2$, Yong Chan Kim$^3$
$^{1,2}$Department of Mathematics
Faculty of Science
Beni-Suef University, Beni-Suef, EGYPT
$^3$Department of Mathematics
Gangneung-Wonju University
Gangneung, Gangwondo 210-702, KOREA


Abstract. In this paper, we define $L$-neighborhood spaces and investigated the topological properties of $L$-fuzzy uniformity in complete residuated lattices. We obtain $L$-fuzzy topology and $L$-neighborhood spaces induced by $L$-fuzzy uniformity. Moreover, we study the relations among $L$-fuzzy topology, $L$-neighborhood system and $L$-fuzzy uniformity.

Received: September 4, 2014

AMS Subject Classification: 03E72, 06A15, 06F07, 54F05

Key Words and Phrases: complete residuated lattice, $L$-neighborhood space, $L$-fuzzy uniform space, $L$-fuzzy topologies

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DOI: 10.12732/ijpam.v100i3.1 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 100
Issue: 3
Pages: 347 - 360


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