Efficiency measures in DEA with grey interval data under the hypotheses of data consistency

Author

Wang Jiefang ; Liu Sifeng

Author_Institution

Sch. of Manage. & Econ., North China Univ. of Water Resources & Electr. Power, Zhengzhou, China

fYear

2011

Firstpage

456

Lastpage

459

Abstract

Some methods have been developed to calculate the interval efficiencies of decision making unit (DMU) in DEA model with interval data, in which there are two shortcomings. One is that the evaluated DMU and referenced DMUs are not be dealt with fairly, as they are not counterparts in locations of inputs and outputs within possible ranges. Another is that efficiency intervals may be too wide to provide valuable information. This paper proposes the hypotheses of data consistency in DEA model. Under the hypotheses, linear programming(LP)models to solve the upper and lower bounds of interval efficiencies are established. Lengths of efficiency intervals under the hypotheses are shorter, which produces more reliable and informative evaluation results and DUMs are deal with more fair.

Keywords

data envelopment analysis; decision making; grey systems; linear programming; DEA; DMU; data consistency; decision making unit; grey interval data; linear programming; Data models; Decision making; Reliability; Data consistency hypothesis; Data employment analysis; Interval efficiency; interval data;

fLanguage

English

Publisher

ieee

Conference_Titel

Grey Systems and Intelligent Services (GSIS), 2011 IEEE International Conference on

Conference_Location

Nanjing

Print_ISBN

978-1-61284-490-9

Type

conf

DOI

10.1109/GSIS.2011.6044103

Filename

6044103