Advances in Fuzzy Systems (Jan 2012)

A New Approach for Solving Dual Fuzzy Nonlinear Equations Using Broyden's and Newton's Methods

  • M. Y. Waziri,
  • Z. A. Majid

DOI
https://doi.org/10.1155/2012/682087
Journal volume & issue
Vol. 2012

Abstract

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We present a new approach for solving dual fuzzy nonlinear equations. In this approach, we use Newton's method for initial iteration and Broyden's method for the rest of the iterations. The fuzzy coefficients are presented in parametric form. Numerical results on well-known benchmark fuzzy nonlinear equations are reported to authenticate the effectiveness and efficiency of the approach.