模糊线性回归模型的参数估计

The Parameter Estimates of Fuzzy Linear Regression Model

对观测值为梯形模糊数的线性回归模型,通过一个适当的距离利用最小二乘法讨论参数估计的存在性。对于一元线性回归得到参数估计的解析表达式,对多元线性回归的参数估计转化为二次规划问题。文中例子说明了模型的适用性。

The least square regression of the fuzzy linear model is developed to deal with the linear models with trapezoidal fuzzy observation data and crisp coefficients. The existence of the estimation of regression coefficients is proved. For single variable linear regression analytical formulations are derived directly. Moreover, the multiple linear regression is converted to a quadric programming. The example demonstrates the methods are applicable.