Broyden's Method for Solving Fuzzy Nonlinear Equations

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 algori...

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Main Authors: Amirah Ramli, Mohd Lazim Abdullah, Mustafa Mamat
Format: Article
Language:English
Published: Wiley 2010-01-01
Series:Advances in Fuzzy Systems
Online Access:http://dx.doi.org/10.1155/2010/763270
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author Amirah Ramli
Mohd Lazim Abdullah
Mustafa Mamat
author_facet Amirah Ramli
Mohd Lazim Abdullah
Mustafa Mamat
author_sort Amirah Ramli
collection DOAJ
description 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.
format Article
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institution Kabale University
issn 1687-7101
1687-711X
language English
publishDate 2010-01-01
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record_format Article
series Advances in Fuzzy Systems
spelling doaj-art-fe2a5bf3cdff41aeb10eb3a84ba950c52025-08-20T03:25:46ZengWileyAdvances in Fuzzy Systems1687-71011687-711X2010-01-01201010.1155/2010/763270763270Broyden's Method for Solving Fuzzy Nonlinear EquationsAmirah Ramli0Mohd Lazim Abdullah1Mustafa Mamat2Department of Mathematics, Faculty of Science and Technology, University of Malaysia Terengganu, 21030 Kuala Terengganu, MalaysiaDepartment of Mathematics, Faculty of Science and Technology, University of Malaysia Terengganu, 21030 Kuala Terengganu, MalaysiaDepartment of Mathematics, Faculty of Science and Technology, University of Malaysia Terengganu, 21030 Kuala Terengganu, MalaysiaInstead 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.http://dx.doi.org/10.1155/2010/763270
spellingShingle Amirah Ramli
Mohd Lazim Abdullah
Mustafa Mamat
Broyden's Method for Solving Fuzzy Nonlinear Equations
Advances in Fuzzy Systems
title Broyden's Method for Solving Fuzzy Nonlinear Equations
title_full Broyden's Method for Solving Fuzzy Nonlinear Equations
title_fullStr Broyden's Method for Solving Fuzzy Nonlinear Equations
title_full_unstemmed Broyden's Method for Solving Fuzzy Nonlinear Equations
title_short Broyden's Method for Solving Fuzzy Nonlinear Equations
title_sort broyden s method for solving fuzzy nonlinear equations
url http://dx.doi.org/10.1155/2010/763270
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AT mohdlazimabdullah broydensmethodforsolvingfuzzynonlinearequations
AT mustafamamat broydensmethodforsolvingfuzzynonlinearequations