Affiliations: [a]
School of Mathematics and Statistics, Yulin University, Yulin, P.R. China | [b]
Shenzhen Graduate School, Harbin Institute of Technology, Shenzhen, P.R. China | [c]
School of Science, Xi’an Polytechnic University, Xi’an, P.R. China
Correspondence:
[*]
Corresponding author. Xiao-Yan Gao, School of Mathematics and Statistics, Yulin University, Yulin 719000, P.R. China. Tel./Fax: +0912 3891374; E-mail: Gaoxiaoyan200808@163.com.
Abstract: In this paper, the concept of extensional L-fuzzy Q-convergence structures is proposed. It is shown that there is an adjunction between the category of extensional L-fuzzy topological spaces and the category of extensional L-fuzzy topological spaces. In particular, the category of extensional L-fuzzy topological spaces can be embedded in the category of extensional L-fuzzy Q-convergence spaces as a reflective subcategory. Also, the notion of topological extensional L-fuzzy Q-convergence spaces is introduced and the resulting category is shown to be isomorphic to the category of extensional L-fuzzy topological spaces.
