A new approach for solving dual fuzzy nonlinear equations using Broyden's and Newton's methods

Authors:
M. Y. Waziri;Z. A. Majid
Affiliations:
Department of Mathematics, Bayero University Kano, Kano, Nigeria and Department of Mathematics, Universiti Putra Malaysia, Serdang, Malaysia;Department of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia, Selangor, Serdang, Malaysia
Venue:
Advances in Fuzzy Systems
Year:
2012

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Abstract

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.