Stability of derivations in fuzzy normed algebras

In this paper, we find a fuzzy approximation of derivation for an mvariable additive functional equation. In fact, using the fixed point method, we prove the HyersUlam stability of derivations on fuzzy Lie C*-algebras for the the following additive functional equation \[\Sigma^m _{i=1} f ( mx_i + \Sigma^m _{j=1, j\neq i} x_j ) + f (\Sigma^m _{i=1} x_i ) = 2f (\Sigma^m_{ i=1} mx_i )\] for a given integer m with m ≥ 2.