摘要
由于模糊数往往可以用梯形模糊数来逼近,因此对梯形模糊数的模糊回归模型的研究就有一定的实用价值.采用最小二乘的方法,针对输入为精确数、输出和回归系数都是梯形模糊数的模糊线性回归模型,讨论了该模型回归系数的最小二乘估计及误差项的估计,实例说明了提出的参数估计的拟合度比较好.
Since fuzzy numbers can often be approximated by trapezoidal fuzzy numbers, therefore the fuzzy regression model with trapezoidal fuzzy numbers study have some practical value.In this paper,fuzzy linear regression model was established ,in which input are crise ,output and coefficients are trapezoidal.Its least -squares estimations of coefficients and estimations of the error term were discussed.Through the examples of research indicate that the estimations of parameter in this paper fitting results are betters.
出处
《数学的实践与认识》
CSCD
北大核心
2012年第22期235-244,共10页
Mathematics in Practice and Theory
基金
国家自然科学基金(11071207
11171065)
江苏省自然科学基金(BK2011058)
关键词
梯形模糊数
模糊线性回归
最小二乘估计
trapezoidal fuzzy number
fuzzy linear regressive model
least -squares estimations
