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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2012-01-01
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| Series: | Advances in Fuzzy Systems |
| Online Access: | http://dx.doi.org/10.1155/2012/318069 |
| Summary: | 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. |
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| ISSN: | 1687-7101 1687-711X |