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中国管理科学

中国管理科学 ›› 2023, Vol. 31 ›› Issue (1): 168-175.doi: 10.16381/j.cnki.issn1003-207x.2021.1435

• 论文 • 上一篇    

一种新的基于双前沿面的交叉效率方法及其应用

李美娟1, 2, 卢锦呈1   

  1. 1.福州大学经济与管理学院，福建 福州350108；2.福建省社会科学研究基地福州大学福建经济高质量发展研究中心，福建 福州350108
  • 收稿日期:2021-07-21 修回日期:2021-12-18 发布日期:2023-02-09
  • 通讯作者: 卢锦呈(1996-),男(汉族),福建永定人,福州大学经济与管理学院,博士研究生,研究方向:评价方法及其应用,Email: jclu0405@163.com. E-mail:jclu0405@163.com
  • 基金资助:
    国家自然科学基金资助项目(71872047)

A New Cross-efficiency Evaluation Method Based on Double Frontier and Its Application

LI Mei-juan1, 2, LU Jin-cheng1   

  1. 1. School of Economics & Management, Fuzhou University, Fuzhou 350108, China;2. Funding for Research Center of Fujian Economic High Quality Development Based on Social Science Planning of Fujian Province in China, Fuzhou 350108, China
  • Received:2021-07-21 Revised:2021-12-18 Published:2023-02-09
  • Contact: 卢锦呈 E-mail:jclu0405@163.com

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摘要： 本文将双前沿面效率评价的思想引入到传统交叉效率模型中，同时，针对双前沿面交叉效率方法中仁慈型和激进型交叉效率策略无法抉择，以及这两种交叉效率策略的应用范围有限的不足，提出了一种新的基于双前沿面的交叉效率方法。该方法的基本思想是选取一个理想决策单元和负理想决策单元，使用被评价决策单元的权重来计算理想决策单元和负理想决策单元的效率，并使被评价决策单元的效率尽可能接近理想解的效率，同时，尽可能远离负理想解的效率。根据该思想，分别在乐观前沿面和悲观前沿面下求解交叉效率值并进行集结，避免了由于前沿面的选择不同导致的差异以及决策者对仁慈型和激进型交叉效率策略进行抉择的困难。最后，将本文方法与现有方法进行对比分析，并将本文方法应用于我国东部地区10个省(直辖市)的创新效率评价中，以验证方法的有效性。

关键词: 数据包络分析；交叉效率策略；双前沿面数据包络分析；创新效率评价

Abstract: The efficiency evaluation based on double frontier is introduced to traditional cross-efficiency model. At the same time, in view of the fact that decision makers cannot determine whether to choose an aggressive or a benevolent strategy and the limited application of these two cross-efficiency strategies, a new cross-efficiency method based on double frontier is proposed. The basic idea of this method is to select an ideal decision making unit (IDMU) and an anti-ideal decision making unit (ADMU), and the input and output weights of the evaluated decision making unit (DMU) are used to calculate the efficiencies of IDMU and ADMU. And then making the efficiency of each evaluated DMU as close to the efficiency of IDMU as possible and as far away from the efficiency of ADMU as possible simultaneously. According to the idea, the cross-efficiency value is solved and aggregated under the optimistic frontier and the pessimistic frontier respectively, which avoids the difference caused by the different choices of frontiers and the difficulty of decision makers to choose between benevolent and aggressive cross-efficient strategies. Finally, the proposed method is compared with the existing methods to valid its effectiveness, and the model is applied to the evaluation of innovation efficiency in eastern China.

Key words: data envelopment analysis; cross-efficiency strategy; data envelopment analysis based on double frontier; evaluation of innovation efficiency

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