IJPAM: Volume 107, No. 3 (2016)

SOFT $L$-FUZZY PRE-UNIFORM SPACES INDUCED
BY SOFT $L$-FUZZY TOPOGENOUS ORDERS

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


Abstract. In this paper, we introduce the notions of soft $L$-fuzzy pre-uniformities and soft $L$-fuzzy topogenous orders in complete residuated lattices. We study some relationships between previous spaces. As main results, we investigate the soft $L$-fuzzy pre-uniformities (resp. soft $L$-quasi-uniformities) induced by soft $L$-fuzzy topogenous orders (resp. soft $L$-fuzzy topogenous structure). We give their examples.

Received: January 23, 2016

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

Key Words and Phrases: complete residuated lattice, soft $L$-quasi-uniformities, soft $L$-fuzzy topogenous orders

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DOI: 10.12732/ijpam.v107i3.23 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: 773 - 788


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