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A Dea-Based Approach To Ranking Multi-Criteria Alternatives

Author

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  • MURAT KÖKSALAN

    (Department of Industrial Engineering, Middle East Technical University, 06531, Ankara, Turkey)

  • CEREN TUNCER

    (Department of Industrial Engineering, Middle East Technical University, 06531, Ankara, Turkey)

Abstract

We propose a data envelopment analysis (DEA)-based approach to ranking multi-criteria alternatives. We call it "the area of the efficiency score graph" (AES) approach. Unlike the classical DEA score andDkmeasure that counts the number of DMUs (alternatives in DEA terminology) that should be removed from the set for each DMUkto become efficient, AES is not fully dependent on relative values of inputs/outputs of the alternatives in the set. It considers the change in efficiency scores of the alternatives while we delete 0,…,Dknumber of alternatives from the set. The method avoids the negative effect of outliers and crowding in certain areas. It favors DMUs that manage to improve their efficiency scores quickly as we delete units from the set, and also alternatives that maintain high levels of efficiency scores as we delete units. We propose inclusion of weight restrictions into AES to incorporate decision maker preferences into the analysis. We apply our approach to ranking MBA programs. We provide rank lists of MBA programs by both AES and another DEA-based method for comparison. We also use AES scores to place programs in a small number of classes that are preference ordered from the best to the worst.

Suggested Citation

  • Murat Köksalan & Ceren Tuncer, 2009. "A Dea-Based Approach To Ranking Multi-Criteria Alternatives," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 8(01), pages 29-54.
    • Handle: RePEc:wsi:ijitdm:v:08:y:2009:i:01:n:s0219622009003259
    DOI: 10.1142/S0219622009003259
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    Cited by:

    1. Karasakal, Esra & Aker, Pınar, 2017. "A multicriteria sorting approach based on data envelopment analysis for R&D project selection problem," Omega, Elsevier, vol. 73(C), pages 79-92.
    2. Abdullah Üstün, 2016. "Evaluating İstanbul’s disaster resilience capacity by data envelopment analysis," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 80(3), pages 1603-1623, February.
    3. Abdullah Korkut Üstün, 2016. "Evaluating İstanbul’s disaster resilience capacity by data envelopment analysis," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 80(3), pages 1603-1623, February.
    4. Gouveia, M.C. & Dias, L.C. & Antunes, C.H. & Boucinha, J. & Inácio, C.F., 2015. "Benchmarking of maintenance and outage repair in an electricity distribution company using the value-based DEA method," Omega, Elsevier, vol. 53(C), pages 104-114.
    5. Jiamin Wang, 2012. "Robust optimization analysis for multiple attribute decision making problems with imprecise information," Annals of Operations Research, Springer, vol. 197(1), pages 109-122, August.
    6. Yugang Yu & Chengbin Chu & Haoxun Chen & Feng Chu, 2012. "Large scale stochastic inventory routing problems with split delivery and service level constraints," Annals of Operations Research, Springer, vol. 197(1), pages 135-158, August.
    7. Dehnokhalaji, Akram & Korhonen, Pekka J. & Köksalan, Murat & Nasrabadi, Nasim & Wallenius, Jyrki, 2010. "Efficiency analysis to incorporate interval-scale data," European Journal of Operational Research, Elsevier, vol. 207(2), pages 1116-1121, December.
    8. Gwo-Hshiung Tzeng & Chi-Yo Huang, 2012. "Combined DEMATEL technique with hybrid MCDM methods for creating the aspired intelligent global manufacturing & logistics systems," Annals of Operations Research, Springer, vol. 197(1), pages 159-190, August.
    9. Murat Köksalan & Vincent Mousseau & Selin Özpeynirci, 2017. "Multi-Criteria Sorting with Category Size Restrictions," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 16(01), pages 5-23, January.
    10. Abdullah Üstün & Gülay Barbarosoğlu, 2015. "Performance evaluation of Turkish disaster relief management system in 1999 earthquakes using data envelopment analysis," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 75(2), pages 1977-1996, January.
    11. Tien-Hsiang Chang & Ling-Jing Kao & Tsung-Yin Ou & Hsin-Pin Fu, 2018. "A Hybrid Method to Measure the Operational Performance of Fast Food Chain Stores," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 17(04), pages 1269-1298, July.

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