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Data envelopment analysis model with decision makers’ preferences: a robust credibility approach

Author

Listed:
  • Hashem Omrani

    (Urmia University of Technology)

  • Arash Alizadeh

    (University of Missouri)

  • Ali Emrouznejad

    (Aston University
    National Research University Higher School of Economics)

  • Tamara Teplova

    (National Research University Higher School of Economics)

Abstract

Data envelopment analysis (DEA) is one of the widely used methods to measure the efficiency scores of decision making units (DMUs). Conventional DEA is unable to consider both uncertainty in data and decision makers’ (DMs) judgments in the evaluations. This study, to address the shortcomings of the conventional DEA, proposes a new best worst method (BWM)- robust credibility DEA (BWM-RCDEA) model to estimate the efficiency scores of DMUs considering DMs’ preferences and uncertain data, simultaneously. First, to handle uncertainty in input and output variables, fuzzy credibility model has been applied. Additionally, uncertainty in constructing fuzzy sets is modeled using robust optimization with fuzzy perturbation degree. In this paper, two new types of RCDEA models are proposed: RCDEA model with exact perturbation in fuzzy inputs and outputs and RCDEA model with fuzzy perturbation in fuzzy inputs and outputs. In addition, to deal with flexibility of weights and incorporating DMs’ judgement into the RCDEA model, a bi-objective BWM-RCDEA model is introduced. Finally, the proposed bi-objective model is solved using min–max approach. To illustrate the usefulness and capability of the proposed model, efficiency scores of 39 distribution companies in Iran is investigated and results are analyzed and discussed. Finally, based on the results, recommendations have been made for policy makers.

Suggested Citation

  • Hashem Omrani & Arash Alizadeh & Ali Emrouznejad & Tamara Teplova, 2024. "Data envelopment analysis model with decision makers’ preferences: a robust credibility approach," Annals of Operations Research, Springer, vol. 339(3), pages 1269-1306, August.
    • Handle: RePEc:spr:annopr:v:339:y:2024:i:3:d:10.1007_s10479-021-04262-2
    DOI: 10.1007/s10479-021-04262-2
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    1. Lai, Po‐Lin & Potter, Andrew & Beynon, Malcolm & Beresford, Anthony, 2015. "Evaluating the efficiency performance of airports using an integrated AHP/DEA-AR technique," Transport Policy, Elsevier, vol. 42(C), pages 75-85.
    2. Konstantinos Triantis & Olivier Girod, 1998. "A Mathematical Programming Approach for Measuring Technical Efficiency in a Fuzzy Environment," Journal of Productivity Analysis, Springer, vol. 10(1), pages 85-102, July.
    3. Adel Hatami-Marbini & Madjid Tavana & Ali Emrouznejad & Saber Saati, 2012. "Efficiency measurement in fuzzy additive data envelopment analysis," International Journal of Industrial and Systems Engineering, Inderscience Enterprises Ltd, vol. 10(1), pages 1-20.
    4. Charnes, A. & Cooper, W. W. & Huang, Z. M. & Sun, D. B., 1990. "Polyhedral Cone-Ratio DEA Models with an illustrative application to large commercial banks," Journal of Econometrics, Elsevier, vol. 46(1-2), pages 73-91.
    5. TAVANA, Madjid & SHIRAZ, Rashed Khanjani & HATAMI-MARBINI, Adel & AGRELL, Per J., 2012. "Fuzzy stochastic data envelopment analysis with application to base realignment and closure (BRAC)," LIDAM Reprints CORE 2412, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    6. Hatami-Marbini, Adel & Emrouznejad, Ali & Tavana, Madjid, 2011. "A taxonomy and review of the fuzzy data envelopment analysis literature: Two decades in the making," European Journal of Operational Research, Elsevier, vol. 214(3), pages 457-472, November.
    7. Charnes, A. & Cooper, W. W. & Rhodes, E., 1978. "Measuring the efficiency of decision making units," European Journal of Operational Research, Elsevier, vol. 2(6), pages 429-444, November.
    8. Russell G. Thompson & F. D. Singleton & Robert M. Thrall & Barton A. Smith, 1986. "Comparative Site Evaluations for Locating a High-Energy Physics Lab in Texas," Interfaces, INFORMS, vol. 16(6), pages 35-49, December.
    9. R. Allen & A. Athanassopoulos & R.G. Dyson & E. Thanassoulis, 1997. "Weights restrictions and value judgements in Data Envelopment Analysis: Evolution, development and future directions," Annals of Operations Research, Springer, vol. 73(0), pages 13-34, October.
    10. Petridis, Konstantinos & Ünsal, Mehmet Güray & Dey, Prasanta Kumar & Örkcü, H. Hasan, 2019. "A novel network data envelopment analysis model for performance measurement of Turkish electric distribution companies," Energy, Elsevier, vol. 174(C), pages 985-998.
    11. Degl'Innocenti, Marta & Kourtzidis, Stavros A. & Sevic, Zeljko & Tzeremes, Nickolaos G., 2017. "Investigating bank efficiency in transition economies: A window-based weight assurance region approach," Economic Modelling, Elsevier, vol. 67(C), pages 23-33.
    12. A. L. Soyster, 1973. "Technical Note—Convex Programming with Set-Inclusive Constraints and Applications to Inexact Linear Programming," Operations Research, INFORMS, vol. 21(5), pages 1154-1157, October.
    13. Sarıca, Kemal & Or, Ilhan, 2007. "Efficiency assessment of Turkish power plants using data envelopment analysis," Energy, Elsevier, vol. 32(8), pages 1484-1499.
    14. M Zohrehbandian & A Makui & A Alinezhad, 2010. "A compromise solution approach for finding common weights in DEA: an improvement to Kao and Hung's approach," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(4), pages 604-610, April.
    15. Dimitris Bertsimas & Melvyn Sim, 2004. "The Price of Robustness," Operations Research, INFORMS, vol. 52(1), pages 35-53, February.
    16. Jang Ho Kim & Woo Chang Kim & Frank J. Fabozzi, 2018. "Recent advancements in robust optimization for investment management," Annals of Operations Research, Springer, vol. 266(1), pages 183-198, July.
    17. Yao Chen & Wade D. Cook & Sungmook Lim, 2019. "Preface: DEA and its applications in operations and data analytics," Annals of Operations Research, Springer, vol. 278(1), pages 1-4, July.
    18. Çelen, Aydın & Yalçın, Neşe, 2012. "Performance assessment of Turkish electricity distribution utilities: An application of combined FAHP/TOPSIS/DEA methodology to incorporate quality of service," Utilities Policy, Elsevier, vol. 23(C), pages 59-71.
    19. Hashem Omrani & Farzane Adabi & Narges Adabi, 2017. "Designing an efficient supply chain network with uncertain data: a robust optimization—data envelopment analysis approach," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(7), pages 816-828, July.
    20. Sadjadi, S.J. & Omrani, H., 2008. "Data envelopment analysis with uncertain data: An application for Iranian electricity distribution companies," Energy Policy, Elsevier, vol. 36(11), pages 4247-4254, November.
    21. HATAMI-MARBINI, Adel & TAVANA, Madjid & EMROUZNEJAD, Ali & SAATI, Saber, 2012. "Efficiency measurement in fuzzy additive data envelopment analysis," LIDAM Reprints CORE 2393, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    22. Rezaei, Jafar, 2016. "Best-worst multi-criteria decision-making method: Some properties and a linear model," Omega, Elsevier, vol. 64(C), pages 126-130.
    23. Rezaei, Jafar, 2015. "Best-worst multi-criteria decision-making method," Omega, Elsevier, vol. 53(C), pages 49-57.
    24. Zhao, Haoran & Guo, Sen & Zhao, Huiru, 2019. "Comprehensive assessment for battery energy storage systems based on fuzzy-MCDM considering risk preferences," Energy, Elsevier, vol. 168(C), pages 450-461.
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