IJPAM: Volume 108, No. 2 (2016)

$(K,E)$-SOFT TOPOLOGIES AND
$L$-FUZZY $(K,E)$-SOFT NEIGHBORHOOD SYSTEMS

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

Abstract. In this paper, we define a $(K,E)$-soft topology in stsc-quantales. We investigate the relations between $(K,E)$-soft topologies and $L$-fuzzy $(K,E)$-soft neighborhood systems. We give their examples.

Received: March 25, 2016

Revised: March 25, 2016

Published: October 1, 2016

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

Key Words and Phrases: Stsc-quantales, fuzzy soft sets, soft map, $(K,E)$-soft topologies, $L$-fuzzy $(K,E)$-soft neighborhood systems
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DOI: 10.12732/ijpam.v108i2.10 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: 2
Pages: 341 - 351


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