In this paper, we characterize the Green's relations R; L; I and the usual relation N defined in terms of ordered filters on ordered Γ-semigroups in terms of fuzzy subsets. For an ordered Γ-semigroup we define relations RF; LF; IF; NF; in terms of fuzzy subsets and we prove that RF; = R;LF; = L; IF; = I; NF; = N