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Mathematics 2019, 7(1), 85; https://doi.org/10.3390/math7010085

Alexandrov L-Fuzzy Pre-Proximities

and
*,†
Department of Mathematics, Gangneung-Wonju National University, Gangneung, Gangwondo 25457, Korea
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Received: 1 December 2018 / Revised: 11 January 2019 / Accepted: 11 January 2019 / Published: 15 January 2019
(This article belongs to the Section Mathematics and Computers Science)
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Abstract

In this paper, we introduce the concepts of Alexandrov L-fuzzy pre-proximities on complete residuated lattices. Moreover, we investigate their relations among Alexandrov L-fuzzy pre-proximities, Alexandrov L-fuzzy topologies, L-fuzzy upper approximate operators, and L-fuzzy lower approximate operators. We give their examples. View Full-Text
Keywords: complete residuated lattice; Alexandrov L-fuzzy topologies; L-lower and L-upper approximation operators; Alexandrov L-fuzzy pre-proximities complete residuated lattice; Alexandrov L-fuzzy topologies; L-lower and L-upper approximation operators; Alexandrov L-fuzzy pre-proximities
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Kim, Y.C.; Oh, J.-M. Alexandrov L-Fuzzy Pre-Proximities. Mathematics 2019, 7, 85.

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