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Entropy Cross-Efficiency Model for Decision Making Units with Interval Data

Lupei Wang, Lei Li, Ningxi Hong
2016 Entropy  
However, the existing cross-efficiency methods only evaluate the relative efficiencies of a set of DMUs with exact values of inputs and outputs.  ...  The cross-efficiency method, as a Data Envelopment Analysis (DEA) extension, calculates the cross efficiency of each decision making unit (DMU) using the weights of all decision making units (DMUs).  ...  Author Contributions: Lupei Wang and Lei Li cooperated with each other to conceive and design this study. They drafted the article together. Ningxi Hong programmed to calculate the data.  ... 
doi:10.3390/e18100358 fatcat:zx6ua57hmvb65ipxudmygwqmve

A Cross-Efficiency Evaluation Method Based on Evaluation Criteria Balanced on Interval Weights

Shi, Wang, Zhang
2019 Symmetry  
Numerical examples are provided to illustrate the applications of the cross-efficiency evaluation method based on evaluation criterion in DEA ranking.  ...  Unlike current cross-efficiency evaluation methods, which tend to choose the set of weights for peer evaluation based on certain preferences, the cross-efficiency evaluation method based on evaluation  ...  The cross-efficiency scores and the rankings based on all the methods mentioned in this paper are provided in Table 10 .  ... 
doi:10.3390/sym11121503 fatcat:ygl3eczizbab3ejtqhvgzri6xi

Ranking DMUs by Comparing DEA Cross-Efficiency Intervals Using Entropy Measures

Tim Lu, Shiang-Tai Liu
2016 Entropy  
Cross-efficiency evaluation, an extension of data envelopment analysis (DEA), can eliminate unrealistic weighing schemes and provide a ranking for decision making units (DMUs).  ...  Consequently, a number of cross-efficiency intervals is obtained for each DMU. The entropy, which is based on information theory, is an effective tool to measure the uncertainty.  ...  [43] use the DEA entropy model to calculate the intervals of all cross-efficiency values with imprecise inputs and outputs, and all DMUs are evaluated and ranked based upon the distance to ideal positive  ... 
doi:10.3390/e18120452 fatcat:oug4nufrprbcxbfpmf4vsz7dr4

Dealing with Interval DEA Based on Error Propagation and Entropy: A Case Study of Energy Efficiency of Regions in China Considering Environmental Factors

Jianping Fan, Weizhen Yue, Meiqin Wu
2015 Journal of Systems Science and Information  
get the ultimate cross efficiency of DMUs in the form of error distribution and ranks DMUs using the calculated ultimate cross efficiency by directional distance index.  ...  In contrast to the traditional approaches above, the paper deals with interval DEA by combining traditional DEA models with error propagation and entropy, uses idea of the modified cross efficiency to  ...  To improve the discriminatory power of DEA, cross efficiency based on peer-evaluation was proposed by Shannon [13] .  ... 
doi:10.1515/jssi-2015-0538 fatcat:3fygh6ccibhnxpafq5ezr55zsa

AIDEA: a methodology for supplier evaluation and selection in a supplier-based manufacturing environment

Teresa Wu, Dan Shunk, Jennifer Blackhurst, Rajendra Appalla
2007 International Journal of Manufacturing Technology and Management (IJMTM)  
Contributions of our proposed approach include the elimination of the poor discriminatory power and inability of traditional DEA to rank the efficient suppliers.  ...  Keywords: data envelopment analysis; imprecise data; supplier-based manufacturing; supplier evaluation and selection; virtual enterprise.  ...  Later, Despotis and Smirlis (2002) concentrate on interval data and propose an effective DEA model to deal with interval data.  ... 
doi:10.1504/ijmtm.2007.013190 fatcat:5quhomjgevg7xoofviehzleqnq

A new DEA ranking system based on interval Cross Efficiency and interval Analytic Hierarchy Process methods [article]

Dariush Akbarian
2014 arXiv   pre-print
The aim of this paper is to present a novel approach for ranking of all DMUs using the interval Cross-Efficiency (ICE) and interval Analytic Hierarchy Process (IAHP) methods.  ...  In the first stage using DEA models the interval cross-efficiency values of each DMU are specified.  ...  In Table 5 , DMU4 is ranked in the last place based on any cross efficiency and interval cross efficiency methods and our method.  ... 
arXiv:1409.7547v2 fatcat:wqnvnpbrtnhavmhe4s6j6acbji

Ranking All DEA-Efficient DMUs Based on Cross Efficiency and Analytic Hierarchy Process Methods

Dariush Akbarian
2015 Journal of Optimization  
The aim of this paper is to present an original approach for ranking of DEA-efficient DMUs based on the cross efficiency and analytic hierarchy process (AHP) methods.  ...  The advantage of this proposed method is its capability of ranking extreme and nonextreme DEA-efficient DMUs.  ...  The DEA-efficient DMUs are ranked based on these weights.  ... 
doi:10.1155/2015/594727 fatcat:pf2alpw62bhcbfogakhzr3hxga

DEA Cross-Efficiency Evaluation Method Based on Good Relationship

Ruijuan Guo, Yanling Dong, Wang Meiqiang, Li Yongjun
2015 Journal of Systems Science and Information  
On the basis of the interval efficiency, the authors provide the benevolent and aggressive DEA cross-efficiency evaluation models based on the good relationship among all decision-making units.  ...  AbstractBenevolent and aggressive cross-efficiency evaluation methods are the improvement of the cross-efficiency evaluation method.  ...  Cross-Efficiency Evaluation Method Based on Good Relationship In this paper, we introduce the good relationship based on aggressive and benevolent formulations proposed by Doyle and Green [9] .  ... 
doi:10.1515/jssi-2015-0014 fatcat:n3wpejh7kba7dkhdmvj7qts5gi

Optimizing the rank position of the DMU as secondary goal in DEA cross-evaluation

I. Contreras
2012 Applied Mathematical Modelling  
Cross-efficiency is a famous ranking method for data envelopment analysis (DEA) that deletes unrealistic weights pattern with no need to a priori information related to weights restrictions.  ...  In cross-efficiency evaluation, secondary goals such as aggressiveness, benevolence and neutrality are used because there are alternative optimal solutions.  ...  Acknowledgement The authors would like to thank the anonymous referees for constructive comments on earlier version of this paper.  ... 
doi:10.1016/j.apm.2011.09.046 fatcat:ln2wrtd4tzalvaedpfe73gw5ui

DEA Cross-Efficiency Aggregation with Deviation Degree Based on Standardized Euclidean Distance

Yan Zou, Weijie Chen, Mingyu Tong, Shuo Tao, Mahmoud Mesbah
2021 Mathematical Problems in Engineering  
Data envelopment analysis (DEA) has been extended to cross-efficiency to provide better discrimination and ranking of decision-making units (DMUs).  ...  Based on above definitions, an alternative method is presented to compare multiple optimal solutions, and further, a universal weighted cross-efficiency model considering both dynamic adjustment of weights  ...  Based on classic cross-efficiency model and dynamic weights, a novel extension model described by Model III is presented to implement cross-efficiency evaluation and ranking.  ... 
doi:10.1155/2021/6682499 fatcat:iw2iypxmgvawddirwmyomonqeu

Ranking Decision making units using Fuzzy Multi-Objective Approach

Hegazy M., Ramadan A., Gamil M.
2015 International Journal of Computer Applications  
Firstly using DEA to evaluate the efficient and inefficient decision-making units (DMUs) with the (CCR) model.  ...  This paper presents Data Envelopment Analysis (DEA) has been used in a wide variety of applied research and it is a linear programming methodology that has been widely used to evaluate the performance  ...  We would like to acknowledge the support provided by Institute of Statistical Studies and Research (ISSR) of University of Cairo.  ... 
doi:10.5120/ijca2015905985 fatcat:nkdpiitmk5cjhg3dwt7jjnqame

Suppliers ranking by cross-efficiency evaluation in the presence of volume discount offers

Mahdi Mahdiloo, Abdollah Noorizadeh, Reza Farzipoor Saen
2012 International Journal of Services and Operations Management  
Therefore, the main purpose of this study is to use the cross-efficiency method when suppliers offer volume discounts. A numerical example demonstrates the application of the proposed method.  ...  Therefore, the main purpose of this study is to use the cross-efficiency method when suppliers offer volume discounts. A numerical example demonstrates the application of the proposed method.  ...  Acknowledgements The authors are grateful to anonymous reviewers for their valuable suggestions and comments.  ... 
doi:10.1504/ijsom.2012.045657 fatcat:owgepeml2ja65psge3frgd6gtu

An Entropy-Based Cross-Efficiency under Variable Returns to Scale

Su, Lu
2019 Entropy  
Cross-efficiency evaluation is an effective methodology for discriminating among a set of decision-making units (DMUs) through both self- and peer-evaluation methods.  ...  In this paper, we propose a cross-efficiency evaluation method, with the technology of VRS.  ...  Introduction Data envelopment analysis (DEA) is a non-parametric method for efficiency evaluation of a group of homogeneous decision-making units (DMUs) that consume multiple inputs to produce multiple  ... 
doi:10.3390/e21121205 fatcat:rncqoclrxfdtxgdtnoetrtheza

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

Qiang Hou, Meiou Wang, Xue Zhou
2018 Discrete Dynamics in Nature and Society  
Two virtual DMUs called ideal point DMU and anti-ideal point DMU are combined to form a comprehensive model based on the DEA method.  ...  A new model is introduced in the process of evaluating efficiency value of decision making units (DMUs) through data envelopment analysis (DEA) method.  ...  Acknowledgments This paper is supported by Liaoning Education Department fund item "regional innovation efficiency evaluation and promotion strategy of Liaoning province" (serial no.  ... 
doi:10.1155/2018/1604298 fatcat:w2izmakkwjdvdjfskadeb2t7pq

Ranking units with fuzzy data in DEA

Mohammad Khodabakhshi, Kourosh Aryavash
2014 Data Envelopment Analysis and Decision Science  
In this study, both optimistic and pessimistic approaches of data envelopment analysis are applied to propose an equitable ranking method in fuzzy environments.  ...  Using the worst-best and best-worst approaches, the minimum and maximum possible efficiency scores of each DMU are estimated at some α-levels.  ...  The benchmarking ranking of DEA efficient DMUs initially developed by Torgersen et al. [32] . In this method, efficient DMUs are ranked based on their importance as a benchmark for the other DMUs.  ... 
doi:10.5899/2014/dea-00058 fatcat:wjkhzvzhh5gxved6mascgtmphm
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