线性无量纲化方法比较研究

根据线性无量纲化方法函数构成所使用的中心点值和值域指标以及其斜率和截距的表达式,对8种线性无量纲化方法进行分析,从不同的角度再次论证不同线性无量纲化方法所满足的性质定理,并进行了理论论证。同时,通过对线性无量纲化方法的分类比较,结合相关性质定理提出了多种线性无量纲化方法,并说明了其相关性质,具有一定的科学性。同时还分析了在对多指标数据进行综合评价的过程中只采用一种线性无量纲化方法的不足,提出了采用多种无量纲化方法的设想的理论可行性,并用案例进行了实证分析,表明其存在一定的合理性。

Character Analysis of Linear Dimensionless Methods

According to indexs used by the function form of the linear dimensionless method,the center value and range,and expression of the function to the slope and intercept,eight kinds of linear dimensionless methods commonly used were analyzed and we summarized the nature of the different linear dimensionless,and theoretical argumented.Meanwhile,through the classification and comparision of linear dimensionless method,this paper proposed the conceive that we can use various linear dimensionless methods in a multi-index comprehensive evaluation,and described the constructor of linear will also be possible and conducted empirical analysis.