A numerical method for solving fuzzy linear system

Author

Lazim, A. ; Hakimah, A. R Nur

Author_Institution

Dept. of Math., Univ. Malaysia Terengganu, Kuala Terengganu, Malaysia

fYear

2010

fDate

15-17 June 2010

Firstpage

1

Lastpage

5

Abstract

In solving system of linear equations, Jacobi method is one of the methods with fewer computations, but its rate of convergence is low. Thus Refinement of Jacobi methods was proposed to improve the convergence rate. However, Refinement of Jacobi method has never been tested in fuzzy linear equation especially in bigger systems. This paper presents Refinement of Jacobi method in solving a 5 × 5 fuzzy linear system. A numerical application is presented to illustrate the method. It was found that the rate of convergence is relatively faster with 46 iterations. It is a new evidence to test the convergence of Refinement of Jacobi method in solving fuzzy linear systems.

Keywords

Jacobian matrices; convergence of numerical methods; fuzzy set theory; fuzzy systems; iterative methods; linear systems; Jacobi method refinement; convergence rate; fuzzy linear equation; fuzzy linear system; linear equations; solving system; Convergence; Equations; Fuzzy systems; Iterative methods; Jacobian matrices; Linear systems; Mathematical model; Convergence; Fuzzy Linear System; Fuzzy number; Iterative methods;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent and Advanced Systems (ICIAS), 2010 International Conference on

Conference_Location

Kuala Lumpur, Malaysia

Print_ISBN

978-1-4244-6623-8

Type

conf

DOI

10.1109/ICIAS.2010.5716176

Filename

5716176