The countability of induced R(L)-fuzzy topological spaces

In this paper, We prove that that the weight, character, density and Lindelof degree of (L^X, δ) are equal with those of (R(L)^X,ω(δ)),and that (L^X, δ) is a Lindelof space if and only if (R(L)^X, ω(δ)) is a Lindelof space. We also comepare (L^X, δ) and (R(L)^X, ω(δ)) in respects of dense set.