中文摘要：

使用形心法将模糊数转化清晰数,从而将模糊线性回归模型转化为传统的线性回归模型来研究,此模型输入、输出都为模糊数,回归系数为清晰数,讨论了该模型的参数估计及基于数据删除的影响分析,并通过对实例的研究及与其它模型比较,说明了该模型应用方便,具有更优的拟合性。

英文摘要：

This paper transform fuzzy number into clear number using the centroid method, thus we can research the traditional linear regression model which transformed form the fuzzy linear regression model. The model＇s input and output are fuzzy numbers, and the regression coefficients are clear numbers. This paper discusses the parameter estimation of model and impact analysis based on data deletion. Through the study of example and comparison with other models, it indicates that the model in this paper is applied easily and better.