Solving Fuzzy Nonlinear Equations with a New Class of Conjugate Gradient Method

Abstract

In this paper, we study the performance of a new conjugate gradient (CG) method for fuzzy nonlinear equations. This method is simple and converges globally to the solution. The parameterized fuzzy coefficients are transformed into unconstrained optimization problem (UOP) and the CG method under exact line search was employed to solve the equivalent optimization problem. The method is discussed in details followed by the simplification for easy analysis. Numerical result on some benchmark problems illustrates the efficiency of the proposed method.