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

Mohammed Yusuf Waziri | Zendy; Zanariah Abdul Majid | Zendy

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

Author(s) -

Mohammed Yusuf Waziri,

Zanariah Abdul Majid

Publication year - 2012

Publication title -

advances in fuzzy systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.38

H-Index - 19

eISSN - 1687-711X

pISSN - 1687-7101

DOI - 10.1155/2012/682087

Subject(s) - nonlinear system , fuzzy logic , benchmark (surveying) , dual (grammatical number) , parametric statistics , mathematics , parametric equation , newton's method , computer science , mathematical optimization , artificial intelligence , physics , geometry , art , statistics , literature , geodesy , quantum mechanics , geography

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

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