Solving Fuzzy Nonlinear Systems -- A Class of Defuzzification in the Fuzzy Control

Abstract

In order to achieve defuzzification, converts fuzzy quantity to accurate quantity in fuzzy control, researching about solving fuzzy nonlinear systems. Parameters transform method combines with homotopy method are introduced in this paper. The parameters transform method transforms a class of general fuzzy nonlinear systems and full fuzzy nonlinear systems into numerical nonlinear systems. Then, one can get solutions of the numerical nonlinear systems based on the homotopy method. It is feasible to choose any appropriate initial value when using homotopy method, avoiding the hard work of selecting appropriate initial values. The numerical experiments approve this method is a useful defuzzification at last. It is easier to accomplish defuzzification by solving the two fuzzy nonlinear systems. In this way, a class of fuzzy control can be established based on the defuzzification.