具有集值系数的回归模型

REGRESSION MODELS WITH SET VALUE COEFFICIENTS

依据区间的概念，借鉴文献［９］的思想并借助于线性规划的方法提出了４种回归模型的确定方法，即：１）具有区间数系数的线性回归模型；２）具有区间数系数的多项式回归模型；３）具有模糊数系数的线性回归模型；４）具有模糊数系数的多项式回归模型．这４种回归模型不仅从理论上推广了经典的线性回归与多项式回归的理论，同时提出了一类新的回归模型的确定方法，而且这类方法充分利用样本点的信息。

Based on the concept of interval,and the viewpoint of reference ,the methods for determining four regression models are presented in this paper by virtue of procedures of linear programming.The theory of linear regression and polynomial regression are extended from the four regression models upon which a kind of new methods for determining regression models are derived.These methods make full use of the information of sample points,therefore,can efficiently deal with the regression models of applied problems.