Improved DEA Cross Efficiency Evaluation Method Based on Ideal and Anti-Ideal Points

A new model is introduced in the process of evaluating efficiency value of decision making units (DMUs) through data envelopment analysis (DEA) method. Two virtual DMUs called ideal point DMU and anti-ideal point DMU are combined to form a comprehensive model based on the DEA method. The ideal point...

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Main Authors: Qiang Hou, Meiou Wang, Xue Zhou
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2018/1604298
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author Qiang Hou
Meiou Wang
Xue Zhou
author_facet Qiang Hou
Meiou Wang
Xue Zhou
author_sort Qiang Hou
collection DOAJ
description A new model is introduced in the process of evaluating efficiency value of decision making units (DMUs) through data envelopment analysis (DEA) method. Two virtual DMUs called ideal point DMU and anti-ideal point DMU are combined to form a comprehensive model based on the DEA method. The ideal point DMU is taking self-assessment system according to efficiency concept. The anti-ideal point DMU is taking other-assessment system according to fairness concept. The two distinctive ideal point models are introduced to the DEA method and combined through using variance ration. From the new model, a reasonable result can be obtained. Numerical examples are provided to illustrate the new constructed model and certify the rationality of the constructed model through relevant analysis with the traditional DEA model.
format Article
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institution Kabale University
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language English
publishDate 2018-01-01
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record_format Article
series Discrete Dynamics in Nature and Society
spelling doaj-art-5ef123ba72424d2b9a38f70958cff59d2025-02-03T01:30:28ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2018-01-01201810.1155/2018/16042981604298Improved DEA Cross Efficiency Evaluation Method Based on Ideal and Anti-Ideal PointsQiang Hou0Meiou Wang1Xue Zhou2School of Management, Shenyang University of Technology, Shenyang 110870, ChinaSchool of Management, Shenyang University of Technology, Shenyang 110870, ChinaSchool of Management, Shenyang University of Technology, Shenyang 110870, ChinaA new model is introduced in the process of evaluating efficiency value of decision making units (DMUs) through data envelopment analysis (DEA) method. Two virtual DMUs called ideal point DMU and anti-ideal point DMU are combined to form a comprehensive model based on the DEA method. The ideal point DMU is taking self-assessment system according to efficiency concept. The anti-ideal point DMU is taking other-assessment system according to fairness concept. The two distinctive ideal point models are introduced to the DEA method and combined through using variance ration. From the new model, a reasonable result can be obtained. Numerical examples are provided to illustrate the new constructed model and certify the rationality of the constructed model through relevant analysis with the traditional DEA model.http://dx.doi.org/10.1155/2018/1604298
spellingShingle Qiang Hou
Meiou Wang
Xue Zhou
Improved DEA Cross Efficiency Evaluation Method Based on Ideal and Anti-Ideal Points
Discrete Dynamics in Nature and Society
title Improved DEA Cross Efficiency Evaluation Method Based on Ideal and Anti-Ideal Points
title_full Improved DEA Cross Efficiency Evaluation Method Based on Ideal and Anti-Ideal Points
title_fullStr Improved DEA Cross Efficiency Evaluation Method Based on Ideal and Anti-Ideal Points
title_full_unstemmed Improved DEA Cross Efficiency Evaluation Method Based on Ideal and Anti-Ideal Points
title_short Improved DEA Cross Efficiency Evaluation Method Based on Ideal and Anti-Ideal Points
title_sort improved dea cross efficiency evaluation method based on ideal and anti ideal points
url http://dx.doi.org/10.1155/2018/1604298
work_keys_str_mv AT qianghou improveddeacrossefficiencyevaluationmethodbasedonidealandantiidealpoints
AT meiouwang improveddeacrossefficiencyevaluationmethodbasedonidealandantiidealpoints
AT xuezhou improveddeacrossefficiencyevaluationmethodbasedonidealandantiidealpoints