IJPAM: Volume 112, No. 4 (2017)

Title

$L$-CLOSURE OPERATORS AND
$L$-FUZZY PRE-PROXIMITIES

Authors

Jung Mi Ko$^1$, Ju-Mok Oh$^2$
$^{1,2}$Department of Mathematics
Gangneung-Wonju University
Gangneung, Gangwondo 210-702, KOREA

Abstract

In this paper, we introduce the notions of $L$-fuzzy pre-proximities and $L$-interior operators in complete residuated lattices. We obtain the $L$-fuzzy pre-proximities induced by $L$-closure operators. Moreover, we investigate the relations between the $L$-fuzzy pre-proximities and $L$-closure operators. We give their examples.

History

Received: July 20, 2016
Revised: February 8, 2017
Published: February 19, 2017

AMS Classification, Key Words

AMS Subject Classification: 03E72, 06A15, 06F07, 54A05
Key Words and Phrases: complete residuated lattice, $L$-closure space, $L$-fuzzy pre-proximity space, $L$-topologies

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How to Cite?

DOI: 10.12732/ijpam.v112i4.3 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: 2017
Volume: 112
Issue: 4
Pages: 683 - 694


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