The Uncertain Network DEA Model for Two-Stage System with Additive Relationship
When decision making units (DMUs) have internal structures with imprecise inputs and outputs, uncertain network data envelopment analysis (UNDEA) is appropriate to deal with the efficiency evaluation of these DMUs. However, a deep insight into clarifying the power’s differences between the internal...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-10-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/13/10/1893 |
| _version_ | 1797513040217767936 |
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| author | Bao Jiang Chen Yang Jian Li |
| author_facet | Bao Jiang Chen Yang Jian Li |
| author_sort | Bao Jiang |
| collection | DOAJ |
| description | When decision making units (DMUs) have internal structures with imprecise inputs and outputs, uncertain network data envelopment analysis (UNDEA) is appropriate to deal with the efficiency evaluation of these DMUs. However, a deep insight into clarifying the power’s differences between the internal structures of DMUs is a deficiency in the current UNDEA model. To address this issue, in this paper, we propose a new UNDEA model by differentiating the power asymmetry of each sub-stage with assumption of a two-stage system and demonstrate an additive relationship between stage 1 and stage 2 of each DMU. Moreover, the equivalent form and its proof of the new model are also presented for accurate calculation. Finally, a numerical example reflecting three different additive relationships between two sub-stages of DMUs is given to illustrate the results of evaluation. |
| first_indexed | 2024-03-10T06:10:07Z |
| format | Article |
| id | doaj.art-1365203dce584009974b26c21b343da3 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T06:10:07Z |
| publishDate | 2021-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-1365203dce584009974b26c21b343da32023-11-22T20:10:40ZengMDPI AGSymmetry2073-89942021-10-011310189310.3390/sym13101893The Uncertain Network DEA Model for Two-Stage System with Additive RelationshipBao Jiang0Chen Yang1Jian Li2Department of International Trade and Economy, Ocean University of China, Qingdao 266100, ChinaDepartment of International Trade and Economy, Ocean University of China, Qingdao 266100, ChinaMarine Development Studies Institute, Ocean University of China, Qingdao 266100, ChinaWhen decision making units (DMUs) have internal structures with imprecise inputs and outputs, uncertain network data envelopment analysis (UNDEA) is appropriate to deal with the efficiency evaluation of these DMUs. However, a deep insight into clarifying the power’s differences between the internal structures of DMUs is a deficiency in the current UNDEA model. To address this issue, in this paper, we propose a new UNDEA model by differentiating the power asymmetry of each sub-stage with assumption of a two-stage system and demonstrate an additive relationship between stage 1 and stage 2 of each DMU. Moreover, the equivalent form and its proof of the new model are also presented for accurate calculation. Finally, a numerical example reflecting three different additive relationships between two sub-stages of DMUs is given to illustrate the results of evaluation.https://www.mdpi.com/2073-8994/13/10/1893uncertain network data envelopment analysisuncertainty theoryadditive relationshiptwo-stage system |
| spellingShingle | Bao Jiang Chen Yang Jian Li The Uncertain Network DEA Model for Two-Stage System with Additive Relationship Symmetry uncertain network data envelopment analysis uncertainty theory additive relationship two-stage system |
| title | The Uncertain Network DEA Model for Two-Stage System with Additive Relationship |
| title_full | The Uncertain Network DEA Model for Two-Stage System with Additive Relationship |
| title_fullStr | The Uncertain Network DEA Model for Two-Stage System with Additive Relationship |
| title_full_unstemmed | The Uncertain Network DEA Model for Two-Stage System with Additive Relationship |
| title_short | The Uncertain Network DEA Model for Two-Stage System with Additive Relationship |
| title_sort | uncertain network dea model for two stage system with additive relationship |
| topic | uncertain network data envelopment analysis uncertainty theory additive relationship two-stage system |
| url | https://www.mdpi.com/2073-8994/13/10/1893 |
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