Complex Neuro-Fuzzy System for Function Approximation

Abstract

Complex fuzzy sets have been developed recently and extends truth values to unit circle in complex plane. Complex fuzzy logic then developed by employing complex fuzzy sets. In this paper, a novel adaptive complex neuro fuzzy inference system based on complex fuzzy logic is proposed for function approximation. The underlying procedure of this network and its learning rule are described. Afterwards, the performance of this system is evaluated by two functions consisting of Sine wave and Sinc function.