Title of article
Categories of lattice-valued closure (interior) operators and Alexandro L-fuzzy topologies
Author/Authors
Ramadan, A.A Department of Mathematics - Faculty of Science - Beni-Suef University, Beni-Suef, Egypt , Li, L Department of Mathematics - Liaocheng University, Liaocheng, 252059 P.R. China
Pages
12
From page
73
To page
84
Abstract
Galois connection in category theory play an important role in establish the relationships between different spatial
structures. In this paper, we prove that there exist many interesting Galois connections between the category of
Alexandroff L-fuzzy topological spaces, the category of reflexive L-fuzzy approximation spaces and the category of
Alexandroff L-fuzzy interior (closure) spaces. This indicates that there is a close connection between the three structures.
Keywords
Galois correspondence , L-fuzzy approximation space , Alexandroff L-fuzzy topological space , Complete residuated lattice
Serial Year
2019
Record number
2494004
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