Gap Minimization for Peer-Evaluation in DEA Cross-Efficiency
Cross-efficiency evaluation is an effective and widely used method for ranking decision making units (DMUs) in data envelopment analysis (DEA). Gap minimization criterion is introduced in aggressive and benevolent cross-efficiency methods to avoid possible extreme efficiency from peer-evaluation and...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/453749 |
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| _version_ | 1832567030011658240 |
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| author | Anrong Yang Zigang Zhang Yishi Zhang Dunliang Chen |
| author_facet | Anrong Yang Zigang Zhang Yishi Zhang Dunliang Chen |
| author_sort | Anrong Yang |
| collection | DOAJ |
| description | Cross-efficiency evaluation is an effective and widely used method for ranking decision making units (DMUs) in data envelopment analysis (DEA). Gap minimization criterion is introduced in aggressive and benevolent cross-efficiency methods to avoid possible extreme efficiency from peer-evaluation and to get equitable results. On the basis of this criterion, a weighted cross-efficiency method with similarity distance that, respectively, considers the aggressive and the benevolent formulations is proposed to determine cross-efficiency. The weights of the cross-evaluation determined by this method are positively influenced by self-evaluation and thus are propitious to resolving conflict. Numerical demonstration reveals the feasibility of the proposed method. |
| format | Article |
| id | doaj-art-4475e75ce2b241468a5413c7f485b4fd |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-4475e75ce2b241468a5413c7f485b4fd2025-02-03T01:02:32ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/453749453749Gap Minimization for Peer-Evaluation in DEA Cross-EfficiencyAnrong Yang0Zigang Zhang1Yishi Zhang2Dunliang Chen3School of Management, Huazhong University of Science and Technology, 1037 Luoyu Road, Hongshan District, Wuhan 430074, ChinaSchool of Management, Huazhong University of Science and Technology, 1037 Luoyu Road, Hongshan District, Wuhan 430074, ChinaSchool of Management, Huazhong University of Science and Technology, 1037 Luoyu Road, Hongshan District, Wuhan 430074, ChinaSchool of Management, Huazhong University of Science and Technology, 1037 Luoyu Road, Hongshan District, Wuhan 430074, ChinaCross-efficiency evaluation is an effective and widely used method for ranking decision making units (DMUs) in data envelopment analysis (DEA). Gap minimization criterion is introduced in aggressive and benevolent cross-efficiency methods to avoid possible extreme efficiency from peer-evaluation and to get equitable results. On the basis of this criterion, a weighted cross-efficiency method with similarity distance that, respectively, considers the aggressive and the benevolent formulations is proposed to determine cross-efficiency. The weights of the cross-evaluation determined by this method are positively influenced by self-evaluation and thus are propitious to resolving conflict. Numerical demonstration reveals the feasibility of the proposed method.http://dx.doi.org/10.1155/2014/453749 |
| spellingShingle | Anrong Yang Zigang Zhang Yishi Zhang Dunliang Chen Gap Minimization for Peer-Evaluation in DEA Cross-Efficiency Journal of Applied Mathematics |
| title | Gap Minimization for Peer-Evaluation in DEA Cross-Efficiency |
| title_full | Gap Minimization for Peer-Evaluation in DEA Cross-Efficiency |
| title_fullStr | Gap Minimization for Peer-Evaluation in DEA Cross-Efficiency |
| title_full_unstemmed | Gap Minimization for Peer-Evaluation in DEA Cross-Efficiency |
| title_short | Gap Minimization for Peer-Evaluation in DEA Cross-Efficiency |
| title_sort | gap minimization for peer evaluation in dea cross efficiency |
| url | http://dx.doi.org/10.1155/2014/453749 |
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