On the algebraic solution of fuzzy linear systems based on interval theory

被引：46
|
作者：
Allahviranloo, T. [1 ]
Ghanbari, M. [1 ]
机构：
[1] Islamic Azad Univ, Sci & Res Branch, Dept Math, Tehran, Iran
来源：
APPLIED MATHEMATICAL MODELLING | 2012年 / 36卷 / 11期
关键词：
Fuzzy number; Fuzzy linear system; Interval number; Interval linear system; Interval inclusion linear system; Algebraic solution; SYMMETRIC-SOLUTIONS; SOLVING INTERVAL; ZEROS;
D O I：
10.1016/j.apm.2012.01.002
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, fuzzy linear systems involving a crisp square matrix and a fuzzy right-hand side vector are considered. A new approach to solve such systems based on interval theory and the new concept "interval inclusion linear system" is proposed. Also, new necessary and sufficient conditions are derived for obtaining the unique algebraic solution. Numerical examples are given to illustrate the efficiency of the proposed method. (C) 2012 Elsevier Inc. All rights reserved.
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页码：5360 / 5379
页数：20
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