【摘要】 针对输入和输出的模糊数据,引入了一种模糊数的距离.基于该距离,类似于传统的最小二乘方法,研究了模糊线性回归模型的一般形式,详细讨论了输入为实数输出为模糊数的模糊线性回归模型,给出了正规方程、最小解和唯一解的理论结果,以及最小解的解析表达式,最后附以一个实例来说明该方法的可行性,故具有较好的实用价值.更多还原

【Abstract】 Aimed at the fuzzy data of input and output,a kind of distance between fuzzy numbers is introduced.Similar to the traditional least square method,the generalized fuzzy linear regression model is introduced based on this distance,and fuzzy linear regression model with crisp input and fuzzy output is investigated in detail;some relative theoretical conclusions including normal equations,unique solution and minimum solution of fuzzy parameters are discussed,and this solution is proposed in analytical expressions.Finally,one numerical example is used to illustrate our proposed method reasonable.更多还原