Bin Pang - School of Mathematics, Beijing Institute of Technology, ۵ South Zhong- guancun Street, Haidian District, ۱۰۰۰۸۱ Beijing, P.R. China

In this paper, we discuss the equivalent conditions of pretopological and topological L-fuzzy Q-convergence structures and define T_{۰},~T_{۱},~T_{۲}-separation axioms in L-fuzzy Q-convergence space. {Furthermore, L-ordered Q-convergence structure is introduced and its relation with L-fuzzy Q-convergence structure is studied in a categorical sense}.

L-fuzzy Q-convergence, L-ordered Q-convergence, L-filter, Category theory, Separation axioms