A Numerical Approach Based on Neuro-Fuzzy Systems for Obtaining Functional Inverse

Abstract

Abstract: In this paper, a new and easy available numerical method is presented in calculation of functional<br><br>inverse. As for ANFIS (Adaptive Network based Fuzzy Inference System) model is available without great difficulty<br><br>in MATLAB software also due to important of obtaining functional inverse in wide range applications, we present<br><br>ANFIS-based approach for the first time for obtaining inverse of mathematical functions. The proposed approach<br><br>includes two main stages, in the first step; some limited points are sampled from desired function using Monte Carlo<br><br>simulation and second step contains training of ANFIS system that input system is output points of function and<br><br>ANFIS desired values are input values to function. One of notes in the proposed approach is calculation of inverse of<br><br>time varying functions only with tuning of generated fuzzy model with the least square and the back propagation<br><br>(BP) algorithms to form of hybrid learning algorithm which able into tracking of time varying functions.<br><br>Experimental results over many functions show superiority of the proposed method relative MATLAB software.