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一类加权最小二乘模糊线性回归
引用本文:梁艳,张文林.一类加权最小二乘模糊线性回归[J].宁夏师范学院学报,2012,33(3):19-23,31.
作者姓名:梁艳  张文林
作者单位:南航金城学院,江苏南京,211156
摘    要:讨论了输入、输出及回归系数都是LR-型模糊数的模糊线性回归模型参数估计的加权最小二乘法.该方法根据决策者对训练数据的置信度对观测数据设置不同的权重,从而得到能有效抵御异常值干扰的预测模型.

关 键 词:模糊线性回归  LR-型模糊数  加权最小二乘估计  异常值

A Weighted Least-squares Fuzzy Linear Regression
LIANG Yan,ZHANG Wenlin.A Weighted Least-squares Fuzzy Linear Regression[J].Journal of Ningxia Teachers College,2012,33(3):19-23,31.
Authors:LIANG Yan  ZHANG Wenlin
Institution:(Nanhang Jincheng College,Nanjing,Jiangsu 211156)
Abstract:This paper has discussed the weighted least-squares method to estimate the fuzzy linear regression model,whose input,output and regression coefficient is LR-type fuzzy number.This method will obtain prediciton mode that can resist interference of abnormal values effectively as a result of decision makers giving different weights to the observation data based on training data’s confidence.
Keywords:Fuzzy linear regression  LR- type fuzzy number  Weighted least-squares  Outliers
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