Hu Zhao - College of Mathematics and Information Science, Shaanxi Normal Uni- versity, Xi&#۰۳۹;an, ۷۱۰۰۶۲, P. R. China and School of Science, Xian Polytechnic University, Xian ۷۱۰۰۴۸, P.R .China
Sheng-gang Li - College of Mathematics and Information Science, Shaanxi Normal University, Xi&#۰۳۹;an, ۷۱۰۰۶۲, P. R. China
Gui-xiu Chen - College of Mathematics and Information Science, Shaanxi Normal University, Xi&#۰۳۹;an, ۷۱۰۰۶۲, P. R. China

Following the idea of L-fuzzy neighborhood system as introduced byFu-Gui Shi, and its generalization to (L,M)-fuzzy neighborhood system, the relationship between  (L,M)-fuzzy topology and (L,M)-fuzzy neighborhood system will be further studied. As an application of the obtained results, we will describe the initial structures of (L,M)-fuzzy neighborhood subspaces and (L,M)-fuzzy topological product spaces.

(L, M)-fuzzy topology, M)-fuzzy neighborhood system, Subspace, Product space