Numerical solution of a fuzzy system of linear equations with polynomial parametric form

被引：15
作者：
Amirfakhrian, Majid [1 ]
机构：
[1] Islamic Azad Univ, Dept Math, Cent Tehran Branch, Tehran, Iran
来源：
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2007年 / 84卷 / 07期
关键词：
fuzzy number; value; ambiguity; fuzzy system of linear equations; polynomial parametric fuzzy number;
D O I：
10.1080/00207160701294400
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A systems of linear equations are used in many fields of science and industry, such as control theory and image processing, and solving a fuzzy linear system of equations is now a necessity. In this work we try to solve a fuzzy system of linear equations having fuzzy coefficients and crisp variables using a polynomial parametric form of fuzzy numbers.
引用
收藏
页码：1089 / 1097
页数：9
相关论文
共 20 条
[1]   Steepest descent method for system of fuzzy linear equations [J].
Abbasbandy, S. ;
Jafarian, A. .
APPLIED MATHEMATICS AND COMPUTATION, 2006, 175 (01) :823-833
[2]   Conjugate gradient method for fuzzy symmetric positive definite system of linear equations [J].
Abbasbandy, S ;
Jafarian, A ;
Ezzati, R .
APPLIED MATHEMATICS AND COMPUTATION, 2005, 171 (02) :1184-1191
[3]   LU decomposition method for solving fuzzy system of linear equations [J].
Abbasbandy, S ;
Ezzati, R ;
Jafarian, A .
APPLIED MATHEMATICS AND COMPUTATION, 2006, 172 (01) :633-643
[4]   The nearest approximation of a fuzzy quantity in parametric form [J].
Abbasbandy, S ;
Amirfakhrian, M .
APPLIED MATHEMATICS AND COMPUTATION, 2006, 172 (01) :624-632
[5]  
Abbasbandy S., 2005, IRAN J FUZZY SYST, V2, P37
[6]   Solution of a fuzzy system of linear equation [J].
Allahviranloo, T. ;
Kermani, M. Afshar .
APPLIED MATHEMATICS AND COMPUTATION, 2006, 175 (01) :519-531
[7]   The Adomian decomposition method for fuzzy system of linear equations [J].
Allahviranloo, T .
APPLIED MATHEMATICS AND COMPUTATION, 2005, 163 (02) :553-563
[8]   Successive over relaxation iterative method for fuzzy system of linear equations [J].
Allahviranloo, T .
APPLIED MATHEMATICS AND COMPUTATION, 2005, 162 (01) :189-196
[9]   Numerical methods for fuzzy system of linear equations [J].
Allahviranloo, T .
APPLIED MATHEMATICS AND COMPUTATION, 2004, 155 (02) :493-502
[10]  
[Anonymous], 1991, FUZZY SET THEORY ITS
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