In this paper, the relation between fuzzy bipartite graph and bipartite fuzzy graph is discussed. It is shown that fuzzy trees are fuzzy bipartite. It is proved that a fuzzy graph is fuzzy bipartite graph if and only if it has no odd strong cycles. The concepts of k-partite fuzzy graph, complete fuzzy bipartite graph and full fuzzy bipartite graph are introduced. The number of strong arcs and d-arcs of a full fuzzy bipartite graph is obtained.
