使用基于的权重和Mahalanobis距离的Hellwig扩展方法:在教育领域评估可持续发展的应用.
Ewa Roszkowska1, Marzena Filipowicz-Chomko1, Anna Łyczkowska-Hanćkowiak2
1Faculty of Computer Science, Bialystok University of Technology, Wiejska 45A, 15-351 Bialystok, Poland.
Entropy (Basel, Switzerland)
|March 28, 2024
概括
本研究介绍了使用权和Mahalanobis距离进行多标准决策分析的增强的Hellwig方法 (H_EM). 该方法对教育进步的国家排名产生了重大影响,突出显示了所选择指标的重要性.
科学领域:
- 决策科学 决策科学
- 教育政策分析 教育政策分析
- 统计建模 统计建模
背景情况:
- 多标准决策分析 (MCDA) 需要强大的标准权重和依赖性处理方法.
- 现有的方法可能无法充分捕捉标准之间的相互依赖关系或有效利用信息内容.
- 评估实现可持续发展目标的进展需要先进的分析框架.
研究的目的:
- 提出一个扩展的Hellwig的方法 (H_EM) 结合基于的重量和Mahalanobis距离.
- 加强对MCDA中标准重要性和相互依存性的分析.
- 评估H_EM在评估欧盟实现可持续发展目标4 (SDG4) 的进展方面的有效性.
主要方法:
- 开发了一个扩展的Hellwig的方法 (H_EM) 整合的基于信息内容的重量确定.
- 雇员Mahalanobis距离以考虑决策标准之间的相互依赖.
- 应用H_EM来分析欧盟国家使用2021年教育数据的SDG 4进展情况.
主要成果:
- 选择距离尺度 (欧几里德式与Mahalanobis) 和权重系统 (基于等比与) 显著改变了欧盟国家的SDG 4排名.
- 基于的权重和Mahalanobis距离通过考虑数据信息内容和标准相互依赖性,提供了更细致的评估.
- 扩展的H_EM在处理复杂的决策场景时表现得更好.
结论:
- 建议的扩展的Hellwig方法 (H_EM) 为复杂的MCDA提供了有价值的工具,特别是当标准相互依赖时.
- 准确的进展评估,如SDG 4,取决于权重和距离计算的方法选择.
- H_EM框架为教育政策和可持续发展等领域的决策提供了更复杂的方法.
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