| 系数为梯形模糊数的模糊回归分析的最小二乘法 |
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| 引用本文： | 张爱武. 系数为梯形模糊数的模糊回归分析的最小二乘法[J]. 数学的实践与认识, 2012, 42(22): 235-244 |
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| 作者姓名： | 张爱武 |
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| 作者单位： | 盐城师范学院数学科学学院,江苏盐城,224002 |
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| 基金项目： | 国家自然科学基金，江苏省自然科学基金 |
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| 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.
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| 关 键 词： | 梯形模糊数 模糊线性回归 最小二乘估计 |
A Least-Squares Approach to Fuzzy Regression Analysis with Trapezoidal Fuzzy Number |
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| ZHANG Ai-wu. A Least-Squares Approach to Fuzzy Regression Analysis with Trapezoidal Fuzzy Number[J]. Mathematics in Practice and Theory, 2012, 42(22): 235-244 |
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| Authors: | ZHANG Ai-wu |
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| Affiliation: | ZHANG Ai-wu (School of Mathematics,Yancheng Teachers University,Yancheng 224002,China) |
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| Abstract: | 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. |
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| Keywords: | trapezoidal fuzzy number fuzzy linear regressive model least -squares estimations |
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