Broyden's method for solving fuzzy nonlinear equations

Authors:
Amirah Ramli;Mohd Lazim Abdullah;Mustafa Mamat
Affiliations:
Department of Mathematics, Faculty of Science and Technology, University of Malaysia Terengganu, Kuala Terengganu, Malaysia;Department of Mathematics, Faculty of Science and Technology, University of Malaysia Terengganu, Kuala Terengganu, Malaysia;Department of Mathematics, Faculty of Science and Technology, University of Malaysia Terengganu, Kuala Terengganu, Malaysia
Venue:
Advances in Fuzzy Systems
Year:
2010

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Abstract

Instead of using standard analytical techniques, like Buckley and Qu method, which are not suitable for solving a system of fuzzy nonlinear equations where the coefficient is fuzzy number, Broyden's method is proposed for solving fuzzy nonlinear equations. In this paper, an eight-step algorithm is used to solve fuzzy nonlinear equations. Two numerical examples are given to illustrate the proposed method.