Fuzzy Approximate Solution of Positive Fully Fuzzy Linear Matrix Equations
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...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/178209 |
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| Summary: | 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. |
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| ISSN: | 1110-757X 1687-0042 |