Fuzzy Approximate Solution of Positive Fully Fuzzy Linear Matrix Equations
| Autor: | Xiaobin Guo, Dequan Shang |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2013 |
| Předmět: | |
| Zdroj: | Journal of Applied Mathematics, Vol 2013 (2013) |
| Druh dokumentu: | article |
| ISSN: | 1110-757X 1687-0042 |
| DOI: | 10.1155/2013/178209 |
| Popis: | 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. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
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