Abstract
In this paper, first, we consider the distribution and survival functions and we define intuitionistic random Lie C-algebras. As an application, using the fixed point method, we approximate the derivations on intuitionistic random Lie C-algebras for the the following additive functional equation
S-i=1(m) f(mx(i) + Sigma(m)(j=1,j not equal i) x(j)) + f(Sigma(m)(i=1)x(i)) = 2f (Sigma(m)(i=1) mx(i))
for all m is an element of N with m >= 2.