几种综合评价方法的稳定性分析

张发明,华文举,李玉茹

系统科学与数学 ›› 2019, Vol. 39 ›› Issue (4) : 595-610.

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PDF(665 KB)
系统科学与数学 ›› 2019, Vol. 39 ›› Issue (4) : 595-610. DOI: 10.12341/jssms13616
论文

几种综合评价方法的稳定性分析

    张发明,华文举,李玉茹
作者信息 +

Stability Analysis of Several Comprehensive Evaluation Methods

    ZHANG Faming ,HUA Wenju, LI Yuru
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摘要

针对综合评价方法稳定性分析研究极少的情况, 提出一种基于 STDEV和 SPEARMAN 等级相关系数的 综合评价方法的稳定性测度方法.首先, 从规范化后的各综合评价方法评价值和排序值出发, 通过各种综合评价方法得出稳定性测度所需的初始评价值和排序值;其次, 将评价指标个数改变和评价对象个数改变两者作为``横向'' 与``纵向''切入点, 根据多次实验的评价值矩阵和排序值矩阵得出标准偏差均值和斯皮尔曼等级系数, 并由两者得 出综合稳定性指标值; 最后, 对7种常见综合评价方法稳定性进行比较分析, 并得出初步稳定性结论.文章设计了 综合评价方法稳定性的分析思路, 并通过一个算例分析了几种常见综合评价方法的稳定性, 为解决由于选取不同综合评价方法引起的评价结论不一致问题提供了一种途径.

Abstract

Aiming at the very few research on the stability analysis of the comprehensive evaluation method, a method for the stability evaluation of the comprehensive evaluation method based on the correlation coefficient of STDEV.A and SPEARMAN grades is proposed. First of all, starting from the normalized evaluation value and ranking value of each comprehensive evaluation method, the initial evaluation value and the rank value of the stability measure are obtained through various comprehensive evaluation methods. Secondly, the number of evaluation indicators and the evaluation object number as the entry points of ``horizontal" and ``vertical", we can get the standard deviation mean and Spearman rank coefficient according to the evaluation value matrix and sorting value matrix of multiple experiments, and get the comprehensive stability index value. Finally, the stability of the seven common comprehensive evaluation methods are comparatively analyzed and the preliminary stability conclusions are obtained. This paper designs the analysis method of the stability of the comprehensive evaluation method, and analyzes the stability of several common comprehensive evaluation methods through an example, which provide a way to solve the problem of inconsistent evaluation conclusions caused by selecting different comprehensive evaluation methods.

关键词

综合评价法 / 稳定性 / 标准偏差均值 / 斯皮尔曼相关系数.

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张发明 , 华文举 , 李玉茹. 几种综合评价方法的稳定性分析. 系统科学与数学, 2019, 39(4): 595-610. https://doi.org/10.12341/jssms13616
ZHANG Faming , HUA Wenju , LI Yuru. Stability Analysis of Several Comprehensive Evaluation Methods. Journal of Systems Science and Mathematical Sciences, 2019, 39(4): 595-610 https://doi.org/10.12341/jssms13616
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