Categories of lattice-valued closure (interior) operators and Alexandroff L-fuzzy topologies

Author(s):

A. A. Ramadan * , L. Li

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
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.
Keywords:

Complete residuated lattice , Alexandroff $L$-fuzzy topological space , $L$-fuzzy approximation space , Galois correspondence

Language:
English
Published:
Iranian journal of fuzzy systems, Volume:16 Issue: 3, May-June 2019
Pages:
73 to 84
https://www.magiran.com/p1982543