| 模糊线性系统的解 |
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| 引用本文： | 刘海忠,钱爱林,司书红,吴彦良. 模糊线性系统的解[J]. 兰州交通大学学报, 2006, 25(1): 145-147 |
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| 作者姓名： | 刘海忠 钱爱林 司书红 吴彦良 |
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| 作者单位： | 兰州交通大学,数理与软件工程学院,甘肃,兰州,730070;咸宁学院,数学系,湖北,咸宁,437005;中国酒泉卫星发射中心,甘肃,酒泉,732750 |
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| 摘 要： | 线性方程组的解历来是数学研究中的一个重大课题.模糊线性系统AX=b的求解已由Friedman等人提出并进行了一些研究,张仲荣等将A限定为一范德蒙矩阵得出了一些有用的结论.在此基础上,研究了模糊线性系统(Fuzzy Linear Systems)FLS:SX=Y有最小二乘解的条件;并附上了求解的方法与一个算例.
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| 关 键 词： | 模糊 线性系统 最小二乘解 |
| 文章编号： | 1001-4373(2006)01-0145-03 |
| 收稿时间： | 2005-10-29 |
| 修稿时间： | 2005-10-29 |
Solution of Fuzzy Linear System |
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| Liu Haizhong,Qian Ailin,Si Shuhong,Wu Yanliang. Solution of Fuzzy Linear System[J]. Journal of Lanzhou Jiaotong University, 2006, 25(1): 145-147 |
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| Authors: | Liu Haizhong Qian Ailin Si Shuhong Wu Yanliang |
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| Affiliation: | 1. School of Mathematics, Physics and Software Engineering, Lanzhou Jiaotong University, Lanzhou 730070,China; 2. Department of Mathematics,Xianning College,Xianning 437005,China; 3. Jiuquan Satellite Launch Center of China,Jiuquan 732750,China |
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| Abstract: | Solution of linear system is a very important problem in math science.Fuzzy linear systems AX=b and its solution have been raised and studied by Friedman.Besides,Zhang let A be Vandermond matrix,getting some interesting results.In this paper,the condition of least squares method solution of fuzzy linear systems(FLS) SX=Y is studied,and an example is given either. |
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| Keywords: | fuzzy linear systems solution of least squares method |
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