| 拟合模糊观测数据的线性回归模型 |
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| 引用本文： | 许若宁. 拟合模糊观测数据的线性回归模型[J]. 纯粹数学与应用数学, 1997, 13(2): 37-43,49 |
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| 作者姓名： | 许若宁 |
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| 作者单位： | 广州大学 |
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| 摘 要： | 本文讨论了实验观测数据为一般模糊数的线性最优拟合问题，通过定义模糊数空间中的距离，建立了模糊数空间到模糊数空间的回归模型，证明了最小二乘问题的解与其正则方程组的解的一致性，进而由正则方程组导出了问题的显式解。本模型的计算简便，具有实用价值。
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| 关 键 词： | 模糊数 模糊观测数据 线性回归 线性最优拟合 |
FUZZY DATA ANALYSIS BY LEAST SQUARES |
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| Xu Ruoning. FUZZY DATA ANALYSIS BY LEAST SQUARES[J]. Pure and Applied Mathematics, 1997, 13(2): 37-43,49 |
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| Authors: | Xu Ruoning |
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| Abstract: | This paper discusses the problem for linear least squares fitting to fuzzy valued data which are expressed as fuzzy numbers. First the metric on fuzzy number space is defined. Next the model for data analysis of fuzzy numbers using a least squares approach is developed, and the normal equations are derived. Lastly, the solution are explicitly given. |
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| Keywords: | fuzzy number least squares fuzzy observed data |
| 本文献已被 CNKI 维普 等数据库收录！ |
