Integrated cross-efficiency model based on directional distance function and information entropy

NING Yangxue; PAN Haojun; WANG Guoqiang

doi:10.12299/jsues.23-0022

Volume 38 Issue 3

Sep. 2024

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Article Navigation > Journal of Shanghai University of Engineering Science > 2024 > 38(3): 328-333

NING Yangxue, PAN Haojun, WANG Guoqiang. Integrated cross-efficiency model based on directional distance function and information entropy[J]. Journal of Shanghai University of Engineering Science, 2024, 38(3): 328-333. doi: 10.12299/jsues.23-0022

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NING Yangxue, PAN Haojun, WANG Guoqiang. Integrated cross-efficiency model based on directional distance function and information entropy[J]. Journal of Shanghai University of Engineering Science, 2024, 38(3): 328-333. doi: 10.12299/jsues.23-0022

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Integrated cross-efficiency model based on directional distance function and information entropy

doi: 10.12299/jsues.23-0022

School of Mathematics, Physics and Statistics, Shanghai University of Engineering Science, Shanghai 201620, China

Received Date: 2023-02-12
Available Online: 2024-11-14
Publish Date: 2024-09-30

Abstract

Abstract

Aiming at the problem that traditional cross-efficiency model cannot handle both input and output data containing negative numbers, an integrated cross-efficiency model based on directional distance function and information entropy was proposesed. First of all, the idea of direction distance function was used to deal with negative numbers. Secondly, the complete ranking of decision units was realized by combining cross efficiency. Then, with the help of the variation coefficient of information entropy, a set of public weights for cross-efficiency integration were obtained to avoid the weight deviation of the traditional model and retain the decision information in the evaluation process. Finally, the effectiveness and practicability of the proposed model were verified by a numerical example, and the research scope and application scenarios of the cross-efficiency model were extended.
- data envelopment analysis,
- cross-efficiency,
- directional distance function,
- information entropy

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References(16)

References

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