TY - JOUR
ID - 4646
TI - Categories of lattice-valued closure (interior) operators and Alexandroff L-fuzzy topologies
JO - Iranian Journal of Fuzzy Systems
JA - IJFS
LA - en
SN - 1735-0654
AU - Ramadan, A. A.
AU - Li, L.
AD - Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt
AD - Department of Mathematics, Liaocheng University, Liaocheng, 252059 P.R. China and College of Mathematics and Systems
Science, Shandong University of Science and Technology, Qingdao 266590, P.R.China.
Y1 - 2019
PY - 2019
VL - 16
IS - 3
SP - 73
EP - 84
KW - Complete residuated lattice
KW - Alexandroff $L$-fuzzy topological space
KW - $L$-fuzzy approximation space
KW - Galois correspondence
DO - 10.22111/ijfs.2019.4646
N2 - 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.
UR - https://ijfs.usb.ac.ir/article_4646.html
L1 - https://ijfs.usb.ac.ir/article_4646_2118d60fe9f7717e282848084f4e62c2.pdf
ER -