Inconsistent fuzzy linear systems

被引：39

作者：

Wang, Ke ^{[1
]}

Zheng, Bing ^{[1
]}

机构：

[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 181卷 / 02期

关键词：

inconsistent; fuzzy linear system; fuzzy least squares solution; generalized inverse; Moore-Penrose inverse; nonnegative matrix;

D O I：

10.1016/j.amc.2006.02.019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The m x n inconsistent fuzzy linear system is studied. The fuzzy least squares solution and therefore the weak fuzzy least squares solution to the fuzzy system are expressed by using the generalized inverses of the coefficient matrix. The existence of the strong fuzzy least squares solution to the fuzzy system is also discussed. Some examples are presented to illustrate the theory. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：973 / 981

页数：9

共 7 条

[1] Fuzzy general linear systems
Asady, B
Abbasbandy, S
Alavi, M
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2005, 169 (01) : 34 - 40
[2] Structure of a nonnegative regular matrix and its generalized inverses
Bapat, RB
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1998, 268 : 31 - 39
[3] Ben-Israel A., 2003, GEN INVERSES THEORY, V15
[4] Berman A., 1987, NONNEGATIVE MATRICES
[5] Cong-Xin W., 1991, FUZZY SETS SYSTEMS, V44, P33
[6] Fuzzy linear systems
Friedman, M
Ming, M
Kandel, A
[J]. FUZZY SETS AND SYSTEMS, 1998, 96 (02) : 201 - 209
[7] ZHENG B, IN PRESS APPL MATH C

← 1 →