%0 Journal Article
%T Categories of lattice-valued closure (interior) operators and Alexandroff L-fuzzy topologies
%J Iranian Journal of Fuzzy Systems
%I University of Sistan and Baluchestan
%Z 1735-0654
%A Ramadan, A. A.
%A Li, L.
%D 2019
%\ 06/29/2019
%V 16
%N 3
%P 73-84
%! Categories of lattice-valued closure (interior) operators and Alexandroff L-fuzzy topologies
%K Complete residuated lattice
%K Alexandroff $L$-fuzzy topological space
%K $L$-fuzzy approximation space
%K Galois correspondence
%R 10.22111/ijfs.2019.4646
%X Galois connection in category theory play an important role inestablish the relationships between different spatial structures. Inthis paper, we prove that there exist many interesting Galoisconnections between the category of Alexandroff $L$-fuzzytopological spaces, the category of reflexive $L$-fuzzyapproximation spaces and the category of Alexandroff $L$-fuzzyinterior (closure) spaces. This indicates that there is a closeconnection between the three structures.
%U https://ijfs.usb.ac.ir/article_4646_2118d60fe9f7717e282848084f4e62c2.pdf