Fuzzy Symmetric Solutions of Fuzzy Matrix Equations

Fuzzy Symmetric Solutions of Fuzzy Matrix Equations

The fuzzy symmetric solution of fuzzy matrix equation AX˜=B˜, in which A is a crisp m×m nonsingular matrix and B˜ is an m×n fuzzy numbers matrix with nonzero spreads, is investigated. The fuzzy matrix equation is converted to a fuzzy system of linear equations according to the Kronecker product of m...

Full description

Bibliographic Details
Main Authors: Xiaobin Guo, Dequan Shang
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Advances in Fuzzy Systems
Online Access:http://dx.doi.org/10.1155/2012/318069
id doaj-17e56046fb6347b29795f36147d78baa
record_format Article
spelling doaj-17e56046fb6347b29795f36147d78baa2020-11-24T21:01:16ZengHindawi LimitedAdvances in Fuzzy Systems1687-71011687-711X2012-01-01201210.1155/2012/318069318069Fuzzy Symmetric Solutions of Fuzzy Matrix EquationsXiaobin Guo0Dequan Shang1College of Mathematics and Information Science, Northwest Normal University, Lanzhou 730070, ChinaDepartment of Public Courses, Gansu College of Chinese Medicine, Lanzhou 730000, ChinaThe fuzzy symmetric solution of fuzzy matrix equation AX˜=B˜, in which A is a crisp m×m nonsingular matrix and B˜ is an m×n fuzzy numbers matrix with nonzero spreads, is investigated. The fuzzy matrix equation is converted to a fuzzy system of linear equations according to the Kronecker product of matrices. From solving the fuzzy linear system, three types of fuzzy symmetric solutions of the fuzzy matrix equation are derived. Finally, two examples are given to illustrate the proposed method.http://dx.doi.org/10.1155/2012/318069
collection DOAJ
language English
format Article
sources DOAJ
author Xiaobin Guo
Dequan Shang
spellingShingle Xiaobin Guo
Dequan Shang
Fuzzy Symmetric Solutions of Fuzzy Matrix Equations
Advances in Fuzzy Systems
author_facet Xiaobin Guo
Dequan Shang
author_sort Xiaobin Guo
title Fuzzy Symmetric Solutions of Fuzzy Matrix Equations
title_short Fuzzy Symmetric Solutions of Fuzzy Matrix Equations
title_full Fuzzy Symmetric Solutions of Fuzzy Matrix Equations
title_fullStr Fuzzy Symmetric Solutions of Fuzzy Matrix Equations
title_full_unstemmed Fuzzy Symmetric Solutions of Fuzzy Matrix Equations
title_sort fuzzy symmetric solutions of fuzzy matrix equations
publisher Hindawi Limited
series Advances in Fuzzy Systems
issn 1687-7101
1687-711X
publishDate 2012-01-01
description The fuzzy symmetric solution of fuzzy matrix equation AX˜=B˜, in which A is a crisp m×m nonsingular matrix and B˜ is an m×n fuzzy numbers matrix with nonzero spreads, is investigated. The fuzzy matrix equation is converted to a fuzzy system of linear equations according to the Kronecker product of matrices. From solving the fuzzy linear system, three types of fuzzy symmetric solutions of the fuzzy matrix equation are derived. Finally, two examples are given to illustrate the proposed method.
url http://dx.doi.org/10.1155/2012/318069
work_keys_str_mv AT xiaobinguo fuzzysymmetricsolutionsoffuzzymatrixequations
AT dequanshang fuzzysymmetricsolutionsoffuzzymatrixequations
_version_ 1716778392582356992

Similar Items