模糊线性回归及其在模糊可靠性分析中的应用  

Fuzzy Linear Regression and Its Applications in Fuzzy Reliability Analysis

作　　者：孙颉[1] 吕震宙[1] 

机构地区：[1]西北工业大学航空学院,陕西西安710072

出　　处：《西北工业大学学报》2006年第1期115-118,共4页Journal of Northwestern Polytechnical University

基　　金：国家自然科学基金(10572117);航天基金(2003CH0502);陕西省自然科学基金(2003CS050)资助

摘　　要：在T ANAKA提出的模糊线性回归模型的基础上,对其进行了扩展和改进,建立了输入变量和输出变量同为模糊量时的模糊线性回归模型,实现了从输入变量到输出变量之间的模糊性传递,从而使得结构/机构系统基本变量的模糊特性可以通过回归分析传递给响应变量,进而将一个多变量的模糊可靠性问题转化为只有模糊响应量和模糊允许量两个变量的问题,大大简化了模糊可靠性分析问题。最后,应用所提的模型对一个含隐式功能函数的弹性四连杆机构进行了模糊可靠性分析,分析结果表明了该模型的可行性。Three advanced fuzzy linear regression （FLR） models with fuzzy input basic variables and fuzzy output response variables are proposed on the basis of the available Tanaka regression model. By use of the proposed models, the fuzzy characteristics of the basic variables are transferred to the response variables; these fuzzy characteristics are of interest in fuzzy reliability analysis. Thus, the fuzzy characteristics of the response variables in complicated structure/mechanism system can be obtained from those of the basic variables, and the fuzzy reliability analysis is significantly simplified for the structure/mechanism system. An example with implicit performance function is used to illustrate the feasibility and efficiency of the models.

关 键 词：Tanaka回归模型 模糊线性回归 可靠性分析 

分 类 号：O213.2[理学—概率论与数理统计] TB114.3[理学—数学]