Weight determination in the cross-efficiency evaluation

Authors:
Ying-Ming Wang;Kwai-Sang Chin;Peng Jiang
Affiliations:
Institute of Decision Science, School of Public Administration, Fuzhou University, Fuzhou 350108, PR China;Department of Manufacturing Engineering and Engineering Management, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon Tong, Hong Kong;Environmental and Biological Engineering Institute, Chongqing Technology and Business University, Chongqing 400067, PR China
Venue:
Computers and Industrial Engineering
Year:
2011

Citing 2
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Abstract

A neutral data envelopment analysis (DEA) model for cross-efficiency evaluation was recently proposed by Wang and Chin [Wang and Chin (2010b). A neutral DEA model for cross-efficiency evaluation and its extension. Expert Systems with Applications, 37(5), 3666-3675], which maximinimizes the relative efficiency of each output and effectively reduces the number of zero weights of outputs. Since a large number of zero weights may still exist among inputs, this paper proposes a simultaneously input- and output-oriented weight determination DEA model for the cross-efficiency evaluation. The new DEA model proves to reduce the number of zero weights for both inputs and outputs very significantly, as illustrated by numerical examples. The weights determined by the new DEA model are neutral, neither aggressive nor benevolent.