综合评价中一种凹性指数型功效函数

目前主流功效函数多为凸性,在处理社会经济数据集中常见的右偏样本时效果难以令人满意。通过系统探讨凸性和凹性功效函数各自的适用特征,指出凹性函数在应用中有其必要性。归纳并使用偏度、区分度、P-P图三种方法作为分布形态的评判标准,比较了常见功效函数对指标原始数据分布形态的调整作用。在分析基础上,提出一种改进的凹性指数功效函数,能有效地处理右偏数据,且相比使用对数预处理的凸性功效函数更具适用性与便利性。

A Concave Exponential Ef-fective Function in Comprehensive Evaluation

The convex effective functions,which are the majority currently,often fail in dealing right-skewed socio-economic data.Based on the thorough discussion on the applicability of convex and concave effective functions,the necessity of concave function is established.By using skewness,discrimination index and P-P plot as standards,the adjust effects are compared among common effective functions.From that,a new type concave exponential effective function is raised,which lends itself to right-skewed data and is more applicable and convenient than the log-preprocessing convex effective functions.