This paper presents a definition of L-fuzzifying nets and the related L-fuzzifying generalized convergence spaces. The Moore-Smith convergence is established in L-fuzzifying topology. It is shown that the category of L-fuzzifying generalized convergence spaces is a cartesianclosed topological category which embeds the category of L-fuzzifying topological spaces as a reflective subcategory.
Wei YAO1,2, Ling Xia LU3 1. College of Mathematics and Information Science, Shaanxi Normal University, Shaanxi 710062, P. R. China
