一种新的非线性无量纲化方法与应用  

A New Nonlinear Dimensionless Method and Its Application

作　　者：张和平[1] 汤发庚 熊丽华 Zhang Heping;Tang Fageng;Xiong Lihua(School of Economics&Management,Nanchang University,Nanchang 330031,China;Jiangxi Copper Co.,Ltd.,Nanchang 330096,China;Jiangxi Railway&Aviation Investment Group Co.,Ltd.,Nanchang 330000,China)

机构地区：[1]南昌大学经济管理学院,南昌330031 [2]江西铜业集团有限公司,南昌330096 [3]江西省铁路航空投资集团有限公司,南昌330000

出　　处：《统计与决策》2021年第12期19-23,共5页Statistics & Decision

基　　金：江西省青年马克思主义者理论研究创新工程资助项目(19QM39)。

摘　　要：文章从数学结构上分析了传统无量纲化方法的主要分类与基本原理,提出一种新的非线性无量纲化方法,并应用于多元化集团公司行业对标与分类考核。结果表明:新的非线性无量纲化函数参数相对独立,不易受极端值影响。原始数据映射至评分区间能较多地保留原有分布特征,无量纲化数值区分度较为协调。函数收敛速度可控,值域与评分区间统一,适用于行业对标与分类考核。This paper analyzes the main classification and basic principles of traditional dimensionless methods from the mathematical structure,and proposes a new nonlinear dimensionless method,which is also applied to benchmarking and classification assessment of diversified group companies.The results show that the parameters of the new nonlinear dimensionless function are relatively independent and not easily affected by extreme values,that the original distribution characteristics can be well retained by mapping the original data to the scoring interval,and the dimensionless values have a more harmonious distinction,and that the function convergence speed is controllable,the value range unified with scoring interval,which is suitable for industry benchmarking and classification assessment.

关 键 词：非线性无量纲化 阈指针 协调底数 行业对标 分类考核 

分 类 号：O29[理学—应用数学] C81[理学—数学]