模糊线性回归分析的结构元理论

目前的模糊回归分析方法都是用区间运算表达的,模糊回归系数表示为区间数,模糊值函数表示为区间值函数,这使理论上的分析很繁琐。为此,提出一种简便、实用的模糊回归分析的结构元理论,并提供了数值例子,验证了该方法的实用性和有效性,为工程上的数据分析引入一个全新的模糊回归分析结构元理论。

Structured Element Theory of Fuzzy Linear Regression Analysis

Fuzzy regression analysis is expressed with interval operation, and fuzzy regression coefficients are the intervals, fuzzy-valued function is the interval value function, all of these makes analysis in theory complicated. So, a simple and practical theory of fuzzy regression analysis based on structured element is presented. Numerical example is provided for illustrating the validity and practicability of this method. An innovative method for the data analysis on the engineering problems is presented.