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Fuzzy Approximate Solution of Positive Fully Fuzzy Linear Matrix Equations
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-12
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
The fuzzy matrix equations A~⊗X~⊗B~=C~ in which A~, B~, and C~ are m×m, n×n, and m×n nonnegative LR fuzzy numbers matrices, respectively, are investigated.
The fuzzy matrix systems is extended into three crisp systems of linear matrix equations according to arithmetic operations of LR fuzzy numbers.
Based on pseudoinverse of matrix, the fuzzy approximate solution of original fuzzy systems is obtained by solving the crisp linear matrix systems.
In addition, the existence condition of nonnegative fuzzy solution is discussed.
Two examples are calculated to illustrate the proposed method.
American Psychological Association (APA)
Guo, Xiaobin& Shang, Dequan. 2013. Fuzzy Approximate Solution of Positive Fully Fuzzy Linear Matrix Equations. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-452121
Modern Language Association (MLA)
Guo, Xiaobin& Shang, Dequan. Fuzzy Approximate Solution of Positive Fully Fuzzy Linear Matrix Equations. Journal of Applied Mathematics No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-452121
American Medical Association (AMA)
Guo, Xiaobin& Shang, Dequan. Fuzzy Approximate Solution of Positive Fully Fuzzy Linear Matrix Equations. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-452121
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-452121