A New Approach for Solving Dual Fuzzy Nonlinear Equations Using Broyden's and Newton's Methods. (26th August 2012)

• Record Type: Journal Article
• Authors: Waziri, M. Y.; Majid, Z. A.
• Other Names: Kilic Kemal Academic Editor.
• Is Part Of: Advances in fuzzy systems. Volume 2012(2012)
• Publication Date: 2012-08-26
• Subjects: Fuzzy systems -- Periodicals; Systèmes flous; Fuzzy systems; Periodicals; 511.313
• DOI: 10.1155/2012/682087
• Languages: English
• ISSNs: 1687-7101

Abstract

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.