On L-fuzzy closure operators and L-fuzzy pre-proximities

被引:0
|
作者
A. A. Ramadan
E. H. Elkordy
M. A. Usama
机构
[1] Beni-Suef University,Mathematics and Computer Science Department, Faculty of Science
关键词
Complete residuated lattice; -fuzzy pre-proximity; -fuzzy closure operators; -fuzzy co-topologies; Galois correspondence; 54F05; 54D10; 54B05; 54B10;
D O I
10.1186/s42787-021-00117-8
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摘要
The aim of this paper is to investigate the relations among the L-fuzzy pre-proximities, L-fuzzy closure operators and L-fuzzy co-topologies in complete residuated lattices. We show that there is a Galois correspondence between the category of separated L-fuzzy closure spaces and that of separated L-fuzzy pre-proximity spaces and we give their examples.
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