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A new intuitionistic fuzzy scheme of data envelopment analysis for evaluating rural comprehensive health service centers

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  • Mahmoodirad, Ali
  • Pamucar, Dragan
  • Niroomand, Sadegh

Abstract

In this study, the classical CCR-IO DEA model (an input-oriented form of the DEA model of Charnes, Cooper, and Rhodes [24] is extended to an intuitionistic fuzzy environment. For this aim, the trapezoidal intuitionistic fuzzy numbers are used to show the values of inputs and outputs. An intuitionistic fuzzy number is characterized by membership, non-membership, and hesitancy degrees. Therefore, such type of fuzzy numbers is more complete and contains more information to reflect a fuzzy type of uncertainty comparing to the conventional fuzzy values. In order to solve the proposed intuitionistic fuzzy CCR-IO model, for the first time a possibility-based approach is developed for the intuitionistic fuzzy DEA models. In this approach for the first time the ME measure of fuzzy events is extended to intuitionistic fuzzy DEA models, therefore, some new definitions and propositions are presented and clarified. This measure is more flexible and effective comparing to the other measures such as credibility, necessity, and possibility measures. A case study from the health care sector of Iran is considered to evaluate the proposed solution approach numerically. The case study is solved under different scenarios, a full sensitivity analysis is performed, and finally some useful managerial insights are presented. In addition, the results of the proposed intuitionistic CCR-IO model are compared to the classical models of the literature.

Suggested Citation

  • Mahmoodirad, Ali & Pamucar, Dragan & Niroomand, Sadegh, 2024. "A new intuitionistic fuzzy scheme of data envelopment analysis for evaluating rural comprehensive health service centers," Socio-Economic Planning Sciences, Elsevier, vol. 95(C).
  • Handle: RePEc:eee:soceps:v:95:y:2024:i:c:s0038012124002039
    DOI: 10.1016/j.seps.2024.102004
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    References listed on IDEAS

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    1. Nikolaos Oikonomou & Yannis Tountas & Argiris Mariolis & Kyriakos Souliotis & Kostas Athanasakis & John Kyriopoulos, 2016. "Measuring the efficiency of the Greek rural primary health care using a restricted DEA model; the case of southern and western Greece," Health Care Management Science, Springer, vol. 19(4), pages 313-325, December.
    2. Emrouznejad, Ali & Yang, Guo-liang, 2018. "A survey and analysis of the first 40 years of scholarly literature in DEA: 1978–2016," Socio-Economic Planning Sciences, Elsevier, vol. 61(C), pages 4-8.
    3. 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.
    4. 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.
    5. Toloo, Mehdi & Mensah, Emmanuel Kwasi & Salahi, Maziar, 2022. "Robust optimization and its duality in data envelopment analysis," Omega, Elsevier, vol. 108(C).
    6. Kaveh Khalili-Damghani & Mohammad Taghavifard, 2012. "A three-stage fuzzy DEA approach to measure performance of a serial process including JIT practices, agility indices, and goals in supply chains," International Journal of Services and Operations Management, Inderscience Enterprises Ltd, vol. 13(2), pages 147-188.
    7. Renbian Mo & Hongyun Huang & Liyang Yang, 2020. "An Interval Efficiency Measurement in DEA When considering Undesirable Outputs," Complexity, Hindawi, vol. 2020, pages 1-12, November.
    8. Seyed Mostafa Alem & Fariborz Jolai & Salman Nazari-Shirkouhi, 2013. "An integrated fuzzy DEA-fuzzy AHP approach: a new model for ranking decision-making units," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 17(1), pages 38-58.
    9. Davoudabadi, Reza & Mousavi, Seyed Meysam & Mohagheghi, Vahid, 2021. "A new decision model based on DEA and simulation to evaluate renewable energy projects under interval-valued intuitionistic fuzzy uncertainty," Renewable Energy, Elsevier, vol. 164(C), pages 1588-1601.
    10. Mohammad Jamshidi & Masoud Sanei & Ali Mahmoodirad & Farhad Hoseinzadeh Lotfi & Ghasem Tohidi, 2021. "Uncertain SBM data envelopment analysis model: A case study in Iranian banks," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 26(2), pages 2674-2689, April.
    11. A. Charnes & W. W. Cooper, 1959. "Chance-Constrained Programming," Management Science, INFORMS, vol. 6(1), pages 73-79, October.
    12. Wanke, Peter & Barros, C.P. & Nwaogbe, Obioma R., 2016. "Assessing productive efficiency in Nigerian airports using Fuzzy-DEA," Transport Policy, Elsevier, vol. 49(C), pages 9-19.
    13. Chen, Yu-Chuan & Chiu, Yung-Ho & Huang, Chin-Wei & Tu, Chien Heng, 2013. "The analysis of bank business performance and market risk—Applying Fuzzy DEA," Economic Modelling, Elsevier, vol. 32(C), pages 225-232.
    14. Barak, Sasan & Dahooei, Jalil Heidary, 2018. "A novel hybrid fuzzy DEA-Fuzzy MADM method for airlines safety evaluation," Journal of Air Transport Management, Elsevier, vol. 73(C), pages 134-149.
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