In this paper, we associate each L-fuzzy topology on a nonempty set X with two preorders on the set of all L-fuzzy points on X, and investigate the relationships between these L-fuzzy topologies and preorders. The role of order properties in L-fuzzy topological spaces in connection with separation axioms is discussed and the concept of order induced L-fuzzy topological properties is provided. The concept of R connectedness in L-fuzzy topological spaces is defined and it has been proved that R-connectedness is stronger than connectedness.