基于修正Russell方法的模糊决策单元的排序

中国管理科学 ›› 2014, Vol. 22 ›› Issue (3): 115-120.

基于修正Russell方法的模糊决策单元的排序

王美强¹, 李勇军²

1. 贵州大学管理学院, 贵州贵阳 550025;
2. 中国科学技术大学管理学院, 安徽合肥 230026

收稿日期:2011-10-11 修回日期:2013-01-28 出版日期:2014-03-20 发布日期:2014-03-19
作者简介:王美强（1972- ），男（汉族），贵州人，贵州大学管理学院教授，博士，研究方向：数据包络分析.
基金资助:
国家自然科学基金资助项目（71261003）；贵州省科学技术基金资助项目（黔科合J字[2011]2101）；贵州省教育厅高等学校人文社会科学研究项目资助项目（10SSD02）；国家自然科学基金资助项目（71271196）

Full Rank of Fuzzy Decision Making Units Based on Enhanced Russell Measure

WANG Mei-qiang¹, LI Yong-jun²

1. College of Management, Guizhou University, Guiyang 550025, China;
2. College of Management, University of Science and Technology of China, Hefei 230026, China

Received:2011-10-11 Revised:2013-01-28 Online:2014-03-20 Published:2014-03-19

摘要/Abstract

摘要： 文章首先建立基于修正Russell方法的超效率DEA模型，然后基于模糊数的比较，建立并求解模糊环境下的基于修正Russell方法的超效率DEA模型，从而解决了模糊决策单元的全排序问题。文末的算例将基于修正Russell方法的模糊超效率DEA模型，与基于CCR模型的模糊超效率DEA模型的结果进行了比较分析。

关键词: 模糊, 修正Russell方法, 超效率DEA模型, 全排序

Abstract: Just like crisp case, the problem of the existence of multi efficient decision making units (DMUs) under fuzzy environment is ubiquitous in application of Data Envelopment Analysis (DEA), this would make decision maker puzzled. To overcome this difficulty, a super efficiency DEA model based on enhanced Russell measure is presented in the paper firstly. Then, based on comparison of fuzzy numbers, a super efficiency DEA model based on enhanced Russell measure under fuzzy environment is also presented. Thereby, the problem of full sorting fuzzy decision making units is solved. Comparative analysis of fuzzy super efficiency DEA model based on enhanced Russell measure and based on CCR model is carried through a numerical example in the end of the paper. The proposed method will be particularly useful when the number of fuzzy DMUs are small compared with the number of criteria employed for evaluation.

Key words: fuzzy, enhanced Russell measure, super efficiency DEA model, rank

中图分类号:

C934

王美强, 李勇军. 基于修正Russell方法的模糊决策单元的排序[J]. 中国管理科学, 2014, 22(3): 115-120.

WANG Mei-qiang, LI Yong-jun. Full Rank of Fuzzy Decision Making Units Based on Enhanced Russell Measure[J]. Chinese Journal of Management Science, 2014, 22(3): 115-120.

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