IJPAM: Volume 100, No. 3 (2015)

$L$-FUZZY UNIFORMITIES INDUCED BY
$L$-NEIGHBORHOOD SYSTEMS AND $L$-FUZZY TOPOLOGIES

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 obtain $L$-fuzzy uniformities induced by $L$-neighborhood systems and $L$-fuzzy topologies in complete residuated lattices. Moreover, every $N$-continuous maps are fuzzy uniformly continuous and every fuzzy continuous maps are fuzzy uniformly continuous.

Received: September 18, 2014

AMS Subject Classification: 03E72, 06A15, 06F07, 54A05

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.v100i3.2 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: 361 - 370


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