Bulletin of the Georgian National Academy of Sciences, Vol. 10, No. 3, (2016) 33-44.

In this paper, systems of nonlinear equations are considered to solve. To approximate the solution we are interested in combining both fuzzy systems and iterative methods. The elementary properties of the designed fuzzy system are given. To design fuzzy systems we used a singleton fuzzifier and center average defuzzifier. The proposed method overcomes the difficulties arising in calculating a complicated system of nonlinear equations using different iterative methods. To show the accuracy of the method, we apply it to some examples including some types of nonlinear systems of equations.

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