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The application of fuzzy systems to approximate the solutions of a nonlinear system of equations. (English) Zbl 1365.65146

A method of using fuzzy IF-THEN rules combined with a Newton-like iterative method is proposed to solve nonlinear algebraic systems of the form \(F(x)=0\). The involved fuzzy system uses a singleton fuzzifier and center average defuzzifier, and the fuzzy IF-THEN rule is based on a product inference engine of Lasens max-product type, with fuzzy set inputs written in pseudo-trapezoid form. The accuracy of the method is illustrated on three numerical experiments implemented in Matlab.

MSC:

65H10 Numerical computation of solutions to systems of equations
26E50 Fuzzy real analysis

Software:

Matlab
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