基于主成分分析的交叉环境DEA模型的应用

张恪渝, 周玲玲, 韩永明

北京化工大学学报（自然科学版） ›› 2018, Vol. 45 ›› Issue (6) : 93-99.

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北京化工大学学报（自然科学版） ›› 2018, Vol. 45 ›› Issue (6) : 93-99. DOI: 10.13543/j.bhxbzr.2018.06.015
机电工程和信息科学

基于主成分分析的交叉环境DEA模型的应用

  • 张恪渝1, 周玲玲2, 韩永明3,4
作者信息 +

Application of an environmental cross data envelopment analysis (DEA) model based on the principal component analysis (PCA) method

  • ZHANG KeYu1, ZHOU LingLing2, HAN YongMing3,4
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文章历史 +

摘要

定义一般环境交叉互评指数，并针对现有交叉数据包络分析（DEA）模型计算指数时未能体现整体数据信息的缺点，结合主成分分析（principal component analysis，PCA）提出一种改进型交叉互评指数方法，使得每一个决策单元的评价向量依据其对评价矩阵中变异量的贡献度而赋予不同的权重；并筛除一些影响较小的信息，从而达到降维的目的，改善了交叉环境模型的评估效率。最后基于真实的能源投入与产出数据，对比传统交叉评价方法及改进型方法在计算能源效率结果上的异同。

Abstract

In this work we define a cross environmental performance index (EPI), and propose a new method which integrates principal component analysis (PCA) into a cross evaluation matrix (CEM) in order to calculate the EPI; this overcomes the problem of the traditional cross data envelopment analysis (DEA) model being unable to utilize the information in a CEM. Moreover, our PCA-based method can give different weights to each decision making unit according to the contributions of variances in the CEM. In addition, the new method also removes redundant information in the CEM and improves the evaluation efficiency of the environmental cross-DEA model. Finally, by using the data for input and output of energy, we compare and analyze the results of the traditional cross-efficiency evaluation method and our revised method based on PCA in an assessment of energy efficiency.

关键词

交叉环境DEA模型 / 主成分分析 / 降维 / 能源效率

Key words

environmental cross data envelopment analysis (DEA) model / principal component analysis (PCA) / dimension reduction / energy efficiency

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导出引用
张恪渝, 周玲玲, 韩永明. 基于主成分分析的交叉环境DEA模型的应用[J]. 北京化工大学学报（自然科学版）, 2018, 45(6): 93-99 https://doi.org/10.13543/j.bhxbzr.2018.06.015
ZHANG KeYu, ZHOU LingLing, HAN YongMing. Application of an environmental cross data envelopment analysis (DEA) model based on the principal component analysis (PCA) method[J]. Journal of Beijing University of Chemical Technology, 2018, 45(6): 93-99 https://doi.org/10.13543/j.bhxbzr.2018.06.015

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基金

国家社会科学基金（14BTJ026）；国家自然科学基金青年基金（61603025）
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