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系数为对称梯形模糊数的回归模型
引用本文:张凡弟,贾金平.系数为对称梯形模糊数的回归模型[J].温州大学学报(自然科学版),2010,31(3):7-12.
作者姓名:张凡弟  贾金平
作者单位:天水师范学院数学与统计学院,甘肃天水,741001
摘    要:针对输入为精确、输出和系数为对称梯形模糊数的情况,建立模糊线性回归模型,给出该模型的最小二乘估计和模型性能的评价方法.当输入、输出以及系数都退化为精确值时,该估计退化为经典的最小二乘估计.

关 键 词:对称梯形模糊数  模糊线性回归  最小二乘估计

Regressive Model with Symmetric Trapezoidal Fuzzy Number Type Coefficient
ZHANG Fandi,JIA Jinping.Regressive Model with Symmetric Trapezoidal Fuzzy Number Type Coefficient[J].Journal of Wenzhou University Natural Science,2010,31(3):7-12.
Authors:ZHANG Fandi  JIA Jinping
Institution:ZHANG Fandi,JIA Jinping (School of Mathematics and Statistics,Tianshui Normal University,Tianshui,China 741001)
Abstract:In view of the situation that input was exact,and output and the coefficient were the symmetric trapezoidal fuzzy numbers,fuzzy linear regression model was established,its least squares estimation was given and the evaluation method for model performance was proposed.When the input,output and coefficients are all depredated into exact value,the estimation is depredated into the classic least squares estimation.
Keywords:Symmetric Trapezoidal Fuzzy Number  Fuzzy Linear Regression  Least Squares Estimation  
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