Affiliations: College of Mathematics and Information Science, Shaanxi Normal University, Xi'an, P.R. China
Note: [] Corresponding author. Hu Zhao, College of Mathematics and Information Science, Shaanxi Normal University, 710062, Xi'an, P.R. China. E-mails: [email protected]; [email protected] (S-g. Li); [email protected] (G-x. Chen).
Abstract: Following the idea of L-fuzzy neighborhood system as introduced by F.-G. Shi, and its generalization to (L, M)-fuzzy neighborhood systems, we introduce the notion of (L, M)-fuzzy topological group, and obtain various properties, including some results on quotient groups of (L, M)-fuzzy topological groups. We show that the category of (L, M)-fuzzy topological groups is topological over the category of groups with respect to the forgetful functor.
