Approximate Solution of LR Fuzzy Sylvester Matrix Equations
| Autor: | Dequan Shang, Xiaobin Guo |
|---|---|
| Rok vydání: | 2013 |
| Předmět: |
Sylvester matrix
Discrete mathematics Article Subject Mathematics::General Mathematics lcsh:Mathematics Applied Mathematics Fuzzy set MathematicsofComputing_NUMERICALANALYSIS Fuzzy subalgebra lcsh:QA1-939 Fuzzy logic Matrix (mathematics) ComputingMethodologies_PATTERNRECOGNITION ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION Fuzzy number Applied mathematics Fuzzy associative matrix ComputingMethodologies_GENERAL Sylvester equation Mathematics |
| Zdroj: | Journal of Applied Mathematics, Vol 2013 (2013) J. Appl. Math. |
| ISSN: | 1687-0042 1110-757X |
| DOI: | 10.1155/2013/752760 |
| Popis: | The fuzzy Sylvester matrix equationAX~+X~B=C~in whichA,Barem×mandn×ncrisp matrices, respectively, andC~is anm×nLR 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. |
| Databáze: | OpenAIRE |
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