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By Moslehian et al. investigated the fuzzy stability problems for the Cauchy additive functional equation and the Jensen additive functional equation in fuzzy Banach spaces. Using the fixed point method, we prove the  Hyers-Ulam stability of the following additive-quadratic-cubic-quartic  functional equation \begin{eqnarray}  f(x+2y)+f(x-2y)=4f(x+y)+4f(x-y) - 6 f(x) + f(2y) + f(-2y) - 4f(y) - 4 f(-y)  \end{eqnarray}  in fuzzy Banach spaces.

A fixed point approach to the fuzzy stability of an AQCQ-functional equation