结构元方法的模糊线性回归模型  

A Fuzzy Linear Regression Model Based on the Structure Element

作　　者：曾繁慧[1] 刘斌[1] 魏帅[1] 

机构地区：[1]辽宁工程技术大学理学院,辽宁阜新123000

出　　处：《数学的实践与认识》2016年第7期162-167,共6页Mathematics in Practice and Theory

基　　金：国家自然科学基金(61350003);辽宁省教育厅科学技术研究一般项目(L2014133)

摘　　要：针对截集思想所转化的线性规划模型结构复杂、可操作差的问题.利用结构元方法重新考察含有模糊系数的模糊线性回归问题.定义了一类结构元加权内积,诱导出了模糊数的距离;利用最小二乘原理,给出一类含有模糊系数的多元模糊回归模型的解析表达式.通过实例说明方法的有效性.For the complicated structure and poor operative problems transformation through cut set ideas in the fuzzy linear regression model,this paper decision Re-examine the fuzzy linear regression problem based on the structured element .First, this article define the concept of the weighted inner product of structure element and induce fuzzy number distance Then using the least squares principle, this paper give analytical expression of the fuzzy multi-linear regression model with fuzzy of this method through an example. coefficients. Finally, illustrate the effectiveness

关 键 词：模糊数内积 结构元 模糊数距离 最小二乘法 

分 类 号：O159[理学—数学] O212.1[理学—基础数学]