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Ranking DMUs by Combining Cross-Efficiency Scores Based on Shannon’s Entropy
Cross-efficiency evaluation is an effective approach for ranking decision-making units (DMUs), and there exist different perspectives from different cross-efficiency evaluation models. However, efficiency ranking results derived from cross-efficiency models may not be the same, and these models may...
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Formato: | Online Artículo Texto |
Lenguaje: | English |
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MDPI
2019
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Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7514956/ https://www.ncbi.nlm.nih.gov/pubmed/33267181 http://dx.doi.org/10.3390/e21050467 |
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author | Lee, Yueh-Chiang |
author_facet | Lee, Yueh-Chiang |
author_sort | Lee, Yueh-Chiang |
collection | PubMed |
description | Cross-efficiency evaluation is an effective approach for ranking decision-making units (DMUs), and there exist different perspectives from different cross-efficiency evaluation models. However, efficiency ranking results derived from cross-efficiency models may not be the same, and these models may provide some precious information that we cannot ignore. In this case, it may not be easy for one to decide which method should be used in some underlying assumptions, and we need several cross-efficiency evaluation models to measure simultaneously the cross-efficiency scores of DMUs. Hence, combining different viewpoints for ranking DMUs is a possible way to apply cross-efficiency evaluation. Since Shannon’s entropy is an effective tool to measure uncertainty, in this study we adopt the idea of Shannon’s entropy to combine cross-efficiency scores, which are obtained from different evaluation models, for comparison of DMUs. An example of commercial banks in Taiwan is used to illustrate the idea proposed in this paper. |
format | Online Article Text |
id | pubmed-7514956 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2019 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
spelling | pubmed-75149562020-11-09 Ranking DMUs by Combining Cross-Efficiency Scores Based on Shannon’s Entropy Lee, Yueh-Chiang Entropy (Basel) Article Cross-efficiency evaluation is an effective approach for ranking decision-making units (DMUs), and there exist different perspectives from different cross-efficiency evaluation models. However, efficiency ranking results derived from cross-efficiency models may not be the same, and these models may provide some precious information that we cannot ignore. In this case, it may not be easy for one to decide which method should be used in some underlying assumptions, and we need several cross-efficiency evaluation models to measure simultaneously the cross-efficiency scores of DMUs. Hence, combining different viewpoints for ranking DMUs is a possible way to apply cross-efficiency evaluation. Since Shannon’s entropy is an effective tool to measure uncertainty, in this study we adopt the idea of Shannon’s entropy to combine cross-efficiency scores, which are obtained from different evaluation models, for comparison of DMUs. An example of commercial banks in Taiwan is used to illustrate the idea proposed in this paper. MDPI 2019-05-04 /pmc/articles/PMC7514956/ /pubmed/33267181 http://dx.doi.org/10.3390/e21050467 Text en © 2019 by the author. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/). |
spellingShingle | Article Lee, Yueh-Chiang Ranking DMUs by Combining Cross-Efficiency Scores Based on Shannon’s Entropy |
title | Ranking DMUs by Combining Cross-Efficiency Scores Based on Shannon’s Entropy |
title_full | Ranking DMUs by Combining Cross-Efficiency Scores Based on Shannon’s Entropy |
title_fullStr | Ranking DMUs by Combining Cross-Efficiency Scores Based on Shannon’s Entropy |
title_full_unstemmed | Ranking DMUs by Combining Cross-Efficiency Scores Based on Shannon’s Entropy |
title_short | Ranking DMUs by Combining Cross-Efficiency Scores Based on Shannon’s Entropy |
title_sort | ranking dmus by combining cross-efficiency scores based on shannon’s entropy |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7514956/ https://www.ncbi.nlm.nih.gov/pubmed/33267181 http://dx.doi.org/10.3390/e21050467 |
work_keys_str_mv | AT leeyuehchiang rankingdmusbycombiningcrossefficiencyscoresbasedonshannonsentropy |