  In this paper, we obtain the general solution of the following functional
equation f(3x + y + z) + f(x + 3y + z) + f(x + y + 3z) + f(x) + f(y) + f(z) =
6f(x + y + z): We establish the Hyers-Ulam-Rassias stability of the above
functional equation in the fuzzy normed spaces. Further we show the above
functional equation is stable in the sense of Hyers and Ulam in fuzzy normed
spaces.
