IJPAM: Volume 107, No. 3 (2016)

SOFT CLOSURE OPERATORS, SOFT TOPOLOGIES
AND SOFT QUASI-UNIFORMITIES

Yong Chan Kim
Department of Mathematics
Gangneung-Wonju University
Gangneung, Gangwondo, 210-702, KOREA


Abstract. In this paper, we study the notions of soft closure operators in complete residuated lattices. We investigate the relations among soft topologies, soft closure operators and soft $L$-quasi-uniformities in complete residuated lattices. We give their examples.

Received: January 23, 2016

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

Key Words and Phrases: complete residuated lattice, soft quasi-uniformities, soft topologies, soft closure operators, uniformly continuous soft map, continuous soft maps

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DOI: 10.12732/ijpam.v107i3.22 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: 107
Issue: 3
Pages: 759 - 771


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