Approximate Solution of LR Fuzzy Sylvester Matrix Equations
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-14
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The fuzzy Sylvester matrix equation AX~+X~B=C~ in which A,B are m×m and n×n crisp matrices, respectively, and C~ is an m×n LR fuzzy numbers matrix is investigated.
Based on the Kronecker product of matrices, we convert the fuzzy Sylvester matrix equation into an LR fuzzy linear system.
Then we extend the fuzzy linear system into two systems of linear equations according to the arithmetic operations of LR fuzzy numbers.
The fuzzy approximate solution of the original fuzzy matrix equation is obtained by solving the crisp linear systems.
The existence condition of the LR fuzzy solution is also discussed.
Some examples are given to illustrate the proposed method.
American Psychological Association (APA)
Guo, Xiaobin& Shang, Dequan. 2013. Approximate Solution of LR Fuzzy Sylvester Matrix Equations. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-495974
Modern Language Association (MLA)
Guo, Xiaobin& Shang, Dequan. Approximate Solution of LR Fuzzy Sylvester Matrix Equations. Journal of Applied Mathematics No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-495974
American Medical Association (AMA)
Guo, Xiaobin& Shang, Dequan. Approximate Solution of LR Fuzzy Sylvester Matrix Equations. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-495974
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-495974