Alexandrov L-Fuzzy Pre-Proximities

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 operato...

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Bibliographic Details
Published in:Mathematics (Basel) 2019-01, Vol.7 (1), p.85
Main Authors: Kim, Yong, Oh, Ju-Mok
Format: Article
Language:English
Subjects:
Alexandrov L-fuzzy pre-proximities
Alexandrov L-fuzzy topologies
Approximation
complete residuated lattice
L-lower and L-upper approximation operators
Lattices
Mathematics
Operators
Topology
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Summary: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.
ISSN:2227-7390
2227-7390
DOI:10.3390/math7010085