A RANKING METHOD FOR DMUS WITH INTERVAL DATA BASED ON DEA CROSS-EFFICIENCY EVALUATION AND TOPSIS

• Published in: Journal of systems science and systems engineering Vol. 22; no. 2; pp. 191 - 201
• Main Authors: Wu, Jie, Sun, Jiasen, Song, Malin, Liang, Liang
• Format: Journal Article
• Language: English
• Published: Heidelberg SP Systems Engineering Society of China 01.06.2013; Springer; Springer Nature B.V; School of Management, University of Science & Technology of China, Hefei, 230026, China
• Subjects: Applied sciences; Complexity; Computer science; control theory; systems; Data processing. List processing. Character string processing; DEA模型; Decision theory. Utility theory; Economic Theory/Quantitative Economics/Mathematical Methods; Engineering; Exact sciences and technology; Mathematics; Memory organisation. Data processing; Nonparametric inference; Operational research and scientific management; Operational research. Management science; Operations Research/Decision Theory; Probability and statistics; Sciences and techniques of general use; Software; Statistics; TOPSIS法; 内燃动车组; 区间数据; 排序方法; 数据包络分析; 时间间隔; 评价; Data envelopment analysis (DEA); TOPSIS; cross-efficiency; Performance evaluation; Input output; Ordinal analysis; Multicriteria analysis; Hierarchical classification; Decision making; Non parametric method; Non parametric estimation; Decision analysis; Relative efficiency; Modeling; Interval arithmetic; Imperfect information; Ordering; Incomplete information; Data envelopment analysis
• ISSN: 1004-3756; 1861-9576
• DOI: 10.1007/s11518-013-5216-7

The traditional data envelopment analysis （DEA） model can evaluate the relative efficiencies of a set of decision making units （DMUs） with exact values of inputs and outputs, but it cannot handle imprecise data. Imprecise data, for example, can be expressed in the form of the interval data or mixtures of interval data and ordinal data. In this study, a cross-efficiency method is introduced into the DEA model to calculate the interval of cross-efficiency values, based on which a new TOPSIS method is proposed to rank the DMUs. Two examples are presented to illustrate and validate the proposed method.