A New Definition of Characteristic Function for Random Fuzzy Variable

A new concept of characteristic function for random fuzzy variable is introduced and some properties of characteristic function are obtained. It is proven that characteristic function for random fuzzy variable phi(t₁, t₂) is differentiable in t₁ and t₂, respectively, and partial derivatives of phi(t₁,t₂) are continuous. Furthermore, the Taylor´s expansion of phi(t₁,t₂) is given and the relation between chancedistribution and characteristic function such as inversion formulais obtained.