模糊数据的回归模型结构分析

Structure Analysis of Regression Model with Fuzzy Data

本文在给出对称三角模糊数样本基础上,提出模糊数据回归分析模型的一般结构。在使用线性规划LP方法进行模糊回归系数估计时,根据模糊集合的择近原则,给出了利用样本平均贴近度评价模型拟合效果的一个准则。通过实例计算,比较了模糊样本回归模型未知参数估计的FLP方法和FLS方法。

In this paper, we propose a fuzzy regression model, based on symmetric triangular fuzzy sample. In the process of estimating the regression parameters with linear programming （LP） method, we give a principle of evaluating the fitness of the model, using the sample average of the closeness. This priciple is developed on the basis of the closeness principle of fuzzy sets. Through an example, we compare two methods of estimating the unknown parameters of the regression model with fuzzy sample, fuzzy LP method and fuzzy LS method.