Ranking DMUs by using the upper and lower bounds of the normalized efficiency in data envelopment analysis

被引:17
|
作者
Liu, Wenli [1 ,2 ]
Wang, Ying-Ming [1 ]
机构
[1] Fuzhou Univ, Decis Sci Inst, Fuzhou 350116, Fujian, Peoples R China
[2] Fuzhou Univ, Sch Math & Comp Sci, Fuzhou 350116, Fujian, Peoples R China
基金
中国国家自然科学基金;
关键词
Data envelopment analysis; Normalized efficiency; Interval efficiency; DECISION-MAKING UNITS; CROSS-EFFICIENCY; INTERVAL EFFICIENCIES; IMPRECISE DATA; DEA; MODEL; PERFORMANCES; EXTENSION;
D O I
10.1016/j.cie.2018.08.017
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
In data envelopment analysis, the existing methods for measuring the relative efficiencies of decision making units (DMUs) are to compare DMUs relative to the best or the worst of all DMUs. In this paper, we consider both the best DMU and the worst DMU as the reference DMUs and propose the normalized efficiency. Further, from the optimistic and pessimistic viewpoints, we construct two DEA models to obtain the upper and lower bounds of the normalized efficiency and then achieve an interval efficiency evaluation to rank all DMUs completely. Finally, two examples are presented to illustrate the performance of the interval efficiency evaluation.
引用
收藏
页码:135 / 143
页数:9
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