【摘要】 研究观测数据为模糊数据的统计线性回归模型 ,由该模型所得回归系数非模糊 ,易于应用。对于对称三角模糊数据一元线性回归给出最优解的解析表达式 ;将对称三角模糊数多元线性回归问题给出转化为一类二次规划问题的方法 ;证明了最优解的存在性和估计量的无偏性。更多还原

【Abstract】 This paper deals with the statistical linear regression with fuzzy observation data. The regression coefficients are crisp and applicable. Analytical formulations are derived for single variable linear regression with symmetric fuzzy data. The multiple linear regression is converted to a quadric programming. The existence of the optimal solution and the unbiased estimation of regression coefficients are proved.更多还原