IJPAM: Volume 108, No. 3 (2016)

$L$-FUZZY $(K,E)$-SOFT INTERIOR OPERATORS
AND $L$-FUZZY $(K,E)$-SOFT QUASI-UNIFORM SPACES

A.A. Ramadan$^1$, Ju-Mok Oh$^2$
$^1$Department of Mathematics
Faculty of Science
Beni-Suef University
Beni-Suef, EGYPT
$^2$Department of Mathematics
Gangneung-Wonju University
Gangneung, Gangwondo, 210-702, KOREA


Abstract. This paper takes some investigations on $L$-fuzzy $(K,E)$-soft interior spaces and $L$-fuzzy $(K,E)$-soft quasi-uniform spaces which are a generalization of $L$-fuzzy topological structures and we gave some of its properties. Also, we give a systematic discussion on the relationship among these notions. Finally, we give their examples.

Received: April 21, 2016

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

Key Words and Phrases: complete residuated lattice, $L$-fuzzy $(K,E)$-soft interior space, $L$-fuzzy $(K,E)$-soft quasi-uniform space, $L$-fuzzy $(K,E)$-soft topological space

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DOI: 10.12732/ijpam.v108i3.11 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: 2016
Volume: 108
Issue: 3
Pages: 607 - 620


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