统计与决策2024，Vol.40Issue(5)：44-49,6.DOI:10.13546/j.cnki.tjyjc.2024.05.008
综合评价方法中的最优无量纲化模型研究
Research on Optimal Dimensionless Models in Comprehensive Evaluation Methods
摘要
Abstract
Aiming at the blind selection of dimensionless methods in the process of comprehensive evaluation,this paper first introduces the measurement indicators of superiority of comprehensive evaluation results,optimizes the measurement functions of stability and differentiation degree of comprehensive evaluation results,and constructs a statistical test method for the effective-ness of the dimensionless methods.Secondly,taking the dimensionless effectiveness as the main constraint condition,the paper constructs three kinds of optimal dimensionless models with the objective functions of the highest stability,the highest differentia-tion degree and the highest stability and differentiation degree,analyzing the influences of large translation scale and small trans-lation scale constraints on the optimal dimensionless models.Finally,the paper carries out a large number of numerical simulation experiments to study the optimal dimensionless models in the six commonly used comprehensive evaluation methods,with the re-sults deeply analyzed.The results go as the following:Under the constraints of large translation scale,the optimal dimensionless results of several comprehensive evaluation methods are different from the existing dimensionless methods,and under the con-straints of small translation scale,the optimal dimensionless results are close to the mean value,but not identical.The stability function and differentiation degree function after continuous optimization can be used to measure the stability and differentiation degree of comprehensive evaluation results more scientifically,and the statistical test method of dimensionless effectiveness can be used to accurately judge whether the dimensional differences between indicators are effectively eliminated.Different compre-hensive evaluation methods,objective functions and constraint conditions lead to different optimal dimensionless results.关键词
综合评价方法/最优无量纲化模型/稳定性/区分度/有效性Key words
comprehensive evaluation methods/optimal dimensionless models/stability/differentiation degree/effectiveness分类
数理科学引用本文复制引用
李兴奇,高晓红..综合评价方法中的最优无量纲化模型研究[J].统计与决策,2024,40(5):44-49,6.基金项目
国家自然科学基金资助项目(11261001) （11261001）
云南省地方本科高校基础研究联合专项面上项目(202301BA070001-059 （）
202301BA070001-054) （）
