On the solution of the fully fuzzy Sylvester matrix equation

被引：3

作者：

Keyanpour, Mohammad ^{[1
]}

Salkuyeh, Davod Khojasteh ^{[1
]}

Moosaei, Hossein ^{[2
]}

Ketabchi, Saeed ^{[1
]}

机构：

[1] Univ Guilan, Fac Math Sci, Rasht, Iran

[2] Univ Bojnord, Dept Math, Bojnord, Iran

来源：

INTERNATIONAL JOURNAL OF MODELLING AND SIMULATION | 2020年 / 40卷 / 01期

关键词：

Fuzzy Sylvester equation; system of linear equations; trapezoidal fuzzy number; M-matrix;

D O I：

10.1080/02286203.2018.1548119

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The aim of this paper is to propose a method for solving fully fuzzy Sylvester equation (FFSE) AX+XB=C, where A, B and C are fuzzy matrices. By using of alpha -cutting, FFSE is transformed to a generalized Sylvester matrix equation, and then to a crisp system of linear equations. Existence and uniqueness of a solution to this system are investigated. Two numerical examples are given to illustrate the proposed method.

引用

页码：80 / 85

页数：6

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