Affiliations: [a]
College of Mathematics and Econometrics, Hunan University, Hunan, P.R. China | [b]
College of Applied Mathematics, Chengdu University of Information Technology, Chengdu, P.R. China
Correspondence:
[*]
Corresponding author. Qing-Guo Li, College of Mathematics and Econometrics, Hunan University,
Hunan 410082, P.R. China. E-mail: [email protected].
Abstract: In this paper, by means of implication operator → in a completely distributive lattice M, we define degrees of (L, M)-fuzzy convex structures, (L, M)-fuzzy closure systems and (L, M)-fuzzy Alexandrov topologies. Moreover, We discuss some properties of the degree of (L, M)-fuzzy convex spaces, the relations between the degree of (L, M)-fuzzy convex structures and the degree of (L, M)-fuzzy closure systems, and the relations between the degree of (L, M)-fuzzy convex structures and the degree of (L, M)-fuzzy Alexandrov topologies.
