Skip to main content
SpringerLink
Log in

An Overview of the Fuzzy Data Envelopment Analysis Research and Its Successful Applications

  • Published:
International Journal of Fuzzy Systems Aims and scope Submit manuscript

Abstract

Data envelopment analysis (DEA) is a prominent technique to make decisions and improve alternatives based on non-parameter modeling and ratio calculation. However, an obvious difficulty to use this method is how to obtain accurate input and output data in the real application. To address this issue, the fuzzy DEAs (FDEAs) are proposed which have been successfully applied in many real fields. The FDEAs hold two aforementioned advantages; meanwhile, it can conveniently present uncertain evaluation information. Therefore, the FDEAs have received much attention from researchers. To summarize the current status, development trends, and further studies of the FDEA research, this paper investigates the related publications from two perspectives of description analysis and literature review, which includes the following details: (1) the literature retrospective analysis of the FDEA with bibliometric technique. Based on it, the publication overview, the cluster network, the emerging trend, and the burst detection are demonstrated in detail. (2) The method review of the basic FDEAs and two kinds of extended FDEAs. These FDEAs are proposed by introducing different fuzzy inputs and outputs, developing different theoretical DEAs, and integrating different mathematical models, respectively. (3) The application review of the FDEAs in some real-life situations. The obtained results provide some clues for researchers who are interested in the FDEA research to do further investigations on theory development and practical applications.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5

Similar content being viewed by others

References

  1. Abbasi, M., Kaviani, M.A.: Operational efficiency-based ranking framework using uncertain DEA methods: an application to the cement industry in Iran. Manag. Decis. 54(4), 902–928 (2016)

    Google Scholar 

  2. Abdelfattah, W.: Data envelopment analysis with neutrosophic inputs and outputs. Expert Syst. (2019). https://doi.org/10.1111/exsy.12453

    Article  Google Scholar 

  3. Abdollahi, M., Arvan, M., Razmi, J.: An integrated approach for supplier portfolio selection: lean or agile? Expert Syst. Appl. 42(1), 679–690 (2015)

    Google Scholar 

  4. Aghayi, N., Maleki, B.: Efficiency measurement of DMUs with undesirable outputs under uncertainty based on the directional distance function: application on bank industry. Energy 153, 476–478 (2018)

    Google Scholar 

  5. Ahmadvand, S., Pishvaee, M.S.: An efficient method for kidney allocation problem: a credibility-based fuzzy common weights data envelopment analysis approach. Health Care Manag. Sci. 21(4), 587–603 (2018)

    Google Scholar 

  6. Allahviranloo, T., Lotfi, F.H., Adabitabarfirozja, M.: Efficiency in fuzzy production possibility set. Iran. J. Fuzzy Syst. 9(4), 17–30 (2012)

    MathSciNet  MATH  Google Scholar 

  7. Amalnick, M.S., Zadeh, S.A.: Concurrent evaluation of customer relationship management and organizational excellence: an empirical study. Perform. Improv. Q. 30(1), 55–88 (2017)

    Google Scholar 

  8. Amindoust, A.: Supplier selection considering sustainability measures: an application of weight restriction fuzzy-DEA approach. Rairo-Oper. Res. 52(3), 981–1001 (2018)

    MathSciNet  MATH  Google Scholar 

  9. Angiz, L.M.Z., Emrouznejad, A., Mustafa, A.: Fuzzy assessment of performance of a decision making units using DEA: a non-radial approach. Expert Syst. Appl. 37(7), 5153–5157 (2010)

    Google Scholar 

  10. Arya, A., Yadav, S.P.: Development of intuitionistic fuzzy super-efficiency slack based measure with an application to health sector. Comput. Ind. Eng. 115, 368–380 (2018)

    Google Scholar 

  11. Azadeh, A., Ahvazi, M.P., Haghighi, S.M.: An intelligent algorithm for determination and optimization of productivity factors in upstream oil projects. J. Petrol. Sci. Eng. 167, 375–395 (2018)

    Google Scholar 

  12. Azadeh, A., Alem, S.M.: A flexible deterministic, stochastic and fuzzy data envelopment analysis approach for supply chain risk and vendor selection problem: simulation analysis. Expert Syst. Appl. 37(12), 7438–7448 (2010)

    Google Scholar 

  13. Azadeh, A., Anvari, M., Ziaei, B., Sadeghi, K.: An integrated fuzzy DEA-fuzzy C-means-simulation for optimization of operator allocation in cellular manufacturing systems. Int. J. Adv. Manuf. Technol. 46(1–4), 361–375 (2010)

    Google Scholar 

  14. Azadeh, A., Atrchin, N., Salehi, V., Shojaei, H.: Modelling and improvement of supply chain with imprecise transportation delays and resilience factors. Int. J. Logist. Res. Appl. 17(4), 269–282 (2014)

    Google Scholar 

  15. Azadeh, A., Farmand, A.H., Sharahi, Z.J.: Performance assessment and optimization of HSE management systems with human error and ambiguity by an integrated fuzzy multivariate approach in a large conventional power plant manufacturer. J. Loss Prev. Process Ind. 25(3), 594–603 (2012)

    Google Scholar 

  16. Azadeh, A., Ghaderi, S.F., Anvari, M., Saberi, M., Izadbkhsh, H.: An integrated artificial neural network and fuzzy clustering algorithm for performance assessment of decision making units. Appl. Math. Comput. 187(2), 584–599 (2007)

    MathSciNet  MATH  Google Scholar 

  17. Azadeh, A., Kokabi, R.: Z-number DEA: a new possibilistic DEA in the context of Z-numbers. Adv. Eng. Inform. 30(3), 604–617 (2016)

    Google Scholar 

  18. Azadeh, A., Moghaddam, M., Asadzadeh, S.M., Negahban, A.: An integrated fuzzy simulation-fuzzy data envelopment analysis algorithm for job-shop layout optimization: the case of injection process with ambiguous data. Eur. J. Oper. Res. 214(3), 768–779 (2011)

    MathSciNet  MATH  Google Scholar 

  19. Azadeh, A., Rahimi-Golkhandan, A., Moghaddam, M.: Location optimization of wind power generation–transmission systems under uncertainty using hierarchical fuzzy DEA: a case study. Renew. Sustain. Energy Rev. 30, 877–885 (2014)

    Google Scholar 

  20. Azadeh, A., Saberi, M., Asadzadeh, S.M., Anvarian, N.: An adaptive-network-based fuzzy inference system-data envelopment analysis algorithm for optimization of long-term electricity consumption, forecasting and policy analysis: the case of seven industrialized countries. Energy Sour. Part B-Econ. Plan. Policy 8(1), 56–66 (2013)

    Google Scholar 

  21. Azadeh, A., Seraj, O., Asadzadeh, S.M., Saberi, M.: An integrated fuzzy regression-data envelopment analysis algorithm for optimum oil consumption estimation with ambiguous data. Appl. Soft Comput. 12(8), 2614–2630 (2012)

    Google Scholar 

  22. Azadeh, A., Sheikhalishahi, M., Asadzadeh, S.M.: A flexible neural network-fuzzy data envelopment analysis approach for location optimization of solar plants with uncertainty and complexity. Renew. Energy 36(12), 3394–3401 (2011)

    Google Scholar 

  23. Azadi, M., Jafarian, M., Saen, R.F., Mirhedayatian, S.M.: A new fuzzy DEA model for evaluation of efficiency and effectiveness of suppliers in sustainable supply chain management context. Comput. Oper. Res. 54, 274–285 (2015)

    MathSciNet  MATH  Google Scholar 

  24. Baeza-Sampere, I., Coll-Serrano, V., M’Zali, B., Mendez-Rodriguez, P.: A fuzzy data envelopment analysis model for evaluating the efficiency of socially responsible and conventional mutual funds. J. Risk 19(1), 77–90 (2016)

    Google Scholar 

  25. Baloch, A.U., Mohammadian, H.: Fuzzy failure modes and effects analysis by using fuzzy VIKOR and data envelopment analysis-based fuzzy AHP. Int. J. Adv. Appl. Sci. 3(8), 23–30 (2016)

    Google Scholar 

  26. Beheshtinia, M.A., Omidi, S.: A hybrid MCDM approach for performance evaluation in the banking industry. Kybernetes 46(8), 1386–1407 (2017)

    Google Scholar 

  27. Cakir, S.: Proposing integrated Shannon’s entropy-inverse data envelopment analysis methods for resource allocation problem under a fuzzy environment. Eng. Optim. 49(10), 1733–1749 (2017)

    MathSciNet  Google Scholar 

  28. Calik, A., Yapici Pehlivan, N., Kahraman, C.: An integrated fuzzy AHP/DEA approach for performance evaluation of territorial units in Turkey. Technol. Econ. Dev. Econ. 24(4), 1280–1302 (2018)

    Google Scholar 

  29. Celen, A.: Performance evaluation of Turkish electricity distribution market using a combined FAHP/TOPSIS method. Energy Educ. Sci. Technol. Part A Energy Sci. Res. 29(2), 1263–1276 (2012)

    MathSciNet  Google Scholar 

  30. Chang, T.H., Kao, L.J., Ou, T.Y., Fu, H.P.: A hybrid method to measure the operational performance of fast food chain stores. Int. J. Inf. Technol. Decis. Mak. 17(4), 1269–1298 (2018)

    Google Scholar 

  31. Chao, S.L.: Integrating multi-stage data envelopment analysis and a fuzzy analytical hierarchical process to evaluate the efficiency of major global liner shipping companies. Maritime Policy Manage. 44(4), 496–511 (2017)

    Google Scholar 

  32. Charnes, A., Cooper, W.W., Rhodes, E.: Measuring the efficiency of decision making units. Eur. J. Oper. Res. 2, 429–444 (1978)

    MathSciNet  MATH  Google Scholar 

  33. Che, Z.H., Wang, H.S., Chuang, C.L.: A fuzzy AHP and DEA approach for making bank loan decisions for small and medium enterprises in Taiwan. Expert Syst. Appl. 37(10), 7189–7199 (2010)

    Google Scholar 

  34. Chen, C.M.: Searching for intellectual turning points: progressive knowledge domain visualization. Proc. Natl. Acad. Sci. U.S.A. 101, 5303–5310 (2004)

    Google Scholar 

  35. Chen, C.M.: CiteSpace II: detecting and visualizing emerging trends and transient patterns in scientific literature. J. Assoc. Inf. Sci. Technol. 57(3), 359–377 (2006)

    Google Scholar 

  36. Chen, L., Wang, Y.M.: Data envelopment analysis cross-efficiency model in fuzzy environments. J. Intell. Fuzzy Syst. 30(5), 2601–2609 (2016)

    MATH  Google Scholar 

  37. Chen, M.C., Yu, M.M., Ho, Y.T.: Using network centralized data envelopment analysis for shipping line resource allocation. Int. J. Environ. Sci. Technol. 15(8), 1777–1792 (2018)

    Google Scholar 

  38. Chiang, T.A., Che, Z.H.: A fuzzy robust evaluation model for selecting and ranking NPD projects using Bayesian belief network and weight-restricted DEA. Expert Syst. Appl. 37(11), 7408–7418 (2010)

    MathSciNet  Google Scholar 

  39. Cook, W.D., Seiford, L.M.: Data envelopment analysis (DEA): thirty years on. Eur. J. Op. Res. 192(1), 1–17 (2009)

    MathSciNet  MATH  Google Scholar 

  40. Cook, W.D., Yang, F., Zhu, J.: Nonlinear inputs and diminishing marginal value in DEA. J. Op. Res. Soc. 60(11), 1567–1574 (2009)

    MATH  Google Scholar 

  41. Ding, T., Liang, L., Yang, M., Wu, H.Q.: Multiple attribute decision making based on cross-evaluation with uncertain decision parameters. Math. Probl. Eng. 10, 1–10 (2016)

    MathSciNet  MATH  Google Scholar 

  42. Dotoli, M., Epicoco, N., Falagario, M., Sciancalepore, F.: A cross-efficiency fuzzy data envelopment analysis technique for performance evaluation of decision making units under uncertainty. Comput. Ind. Eng. 79, 103–114 (2015)

    MATH  Google Scholar 

  43. Emrouznejad, A., Tavana, M.: Performance measurement with fuzzy data envelopment analysis. Studies in fuzziness and soft computing. Springer, Berlin, Heidelberg (2014)

    Google Scholar 

  44. Emrouznejad, A., Parker, B.R., Tavares, G.: Evaluation of research in efficiency and productivity: A survey and analysis of the first 30 years of scholarly literature in DEA. Socio-Econ. Plan. Sci. 42(3), 151–157 (2008)

    Google Scholar 

  45. Entani, T., Maeda, Y., Tanaka, H.: Dual models of interval DEA and its extension to interval data. Eur. J. Oper. Res. 136(1), 32–45 (2002)

    MathSciNet  MATH  Google Scholar 

  46. Faizrahnemoon, M., Lotfi, F.H., Jondabeh, M.A.: Sensitivity analysis of the additive model in data envelopment analysis while inputs and outputs are fuzzy data. Int. J. Comput. Math. 89(5), 625–638 (2012)

    MathSciNet  MATH  Google Scholar 

  47. Fallahpour, A., Kazemi, N., Molani, M., Nayeri, S., Ehsani, M.: An intelligence-based model for supplier selection integrating data envelopment analysis and support vector machine. Iran. J. Manage. Stud. 11(2), 209–241 (2018)

    Google Scholar 

  48. Fasanghari, M., Amalnick, M.S., Anvari, R.T., Razmi, J.: A novel credibility-based group decision making method for enterprise architecture scenario analysis using data envelopment analysis. Appl. Soft Comput. 32, 347–368 (2015)

    Google Scholar 

  49. Fu, H.P., Chu, K.K., Chao, P., Lee, H.H., Liao, Y.C.: Using fuzzy AHP and VIKOR for benchmarking analysis in the hotel industry. Serv. Ind. J. 31(14), 2373–2389 (2011)

    Google Scholar 

  50. Gan, L., Xu, D.R., Hu, L., Wang, L.: Economic feasibility analysis for renewable energy project using an integrated TFN–AHP–DEA approach on the basis of consumer utility. Energies 10(12), 1–21 (2017)

    Google Scholar 

  51. Geng, X.L., Gong, X.M., Chu, X.N.: Component oriented remanufacturing decision-making for complex product using DEA and interval 2-tuple linguistic TOPSIS. Int. J. Comput. Intell. Syst. 9(5), 984–1000 (2016)

    Google Scholar 

  52. Geng, X.L., Qiu, H.Q., Gong, X.M.: An extended 2-tuple linguistic DEA for solving MAGDM problems considering the influence relationships among attributes. Comput. Ind. Eng. 112, 135–146 (2017)

    Google Scholar 

  53. Girod, O.A., Triantis, K.P.: The evaluation of productive efficiency using a fuzzy mathematical programming approach: the case of the newspaper preprint insertion process. IEEE Trans. Eng. Manage. 46(4), 429–443 (1999)

    Google Scholar 

  54. Guo, P., Tanaka, H.: Fuzzy DEA: a perceptual evaluation method. Fuzzy Sets Syst. 119(1), 149–160 (2001)

    MathSciNet  Google Scholar 

  55. Guo, P.J., Tanaka, H., Inuiguchi, M.: Self-organizing fuzzy aggregation models to rank the objects with multiple attributes. IEEE Trans. Syst. Man Cybern. Part A Syst. Hum. 30(5), 573–580 (2000)

    Google Scholar 

  56. Gupta, P., Mehlawat, M.K., Aggarwal, U., Charles, V.: An integrated AHP–DEA multi-objective optimization model for sustainable transportation in mining industry. Resour. Policy (2018). https://doi.org/10.1016/j.resourpol.2018.04.007

    Article  Google Scholar 

  57. Hajiagha, S.H.R., Akrami, H., Zavadskas, E.K., Hashemi, S.S.: An intuitionistic fuzzy data envelopment analysis for efficiency evaluation under uncertainty: case of a finance and credit institution. E M Ekonomie Manage. 16(1), 128–137 (2013)

    Google Scholar 

  58. Han, Y.F., Qu, S.J., Wu, Z., Huang, R.P.: Robust consensus models based on minimum cost with an application to marketing plan. J. Intell. Fuzzy Syst. 37(4), 5655–5668 (2019)

    Google Scholar 

  59. Han, Y.M., Geng, Z.Q., Zhu, Q.X., Qu, Y.X.: Energy efficiency analysis method based on fuzzy DEA cross-model for ethylene production systems in chemical industry. Energy 83, 685–695 (2015)

    Google Scholar 

  60. Hatami-Marbini, A., Emrouznejad, A., Tavana, M.: A taxonomy and review of the fuzzy data envelopment analysis literature: two decades in the making. Eur. J. Op. Res. 214(3), 457–472 (2011)

    MathSciNet  MATH  Google Scholar 

  61. Hatami-Marbini, A., Tavana, M., Gholami, K., Beigi, Z.G.: A bounded data envelopment analysis model in a fuzzy environment with an application to safety in the semiconductor industry. J. Optim. Theory Appl. 164(2), 679–701 (2015)

    MathSciNet  MATH  Google Scholar 

  62. Hatami-Marbini, A., Tavana, M., Saati, S., Agrell, P.J.: Positive and normative use of fuzzy DEA-BCC models: a critical view on NATO enlargement. Int. Trans. Oper. Res. 20(3), 411–433 (2013)

    MATH  Google Scholar 

  63. He, Y., Liao, N., Zhou, Y.: Analysis on provincial industrial energy efficiency and its influencing factors in China based on DEA-RS-FANN. Energy 142, 79–89 (2018)

    Google Scholar 

  64. He, Z.Z., He, Y.H., Liu, F.D., Zhao, Y.X.: Big data-oriented product infant failure intelligent root cause identification using associated tree and fuzzy DEA. EEE Access 7, 34687–34698 (2019)

    Google Scholar 

  65. Houshyar, E., Azadi, H., Almassi, M., Davoodi, M.J.S., Witlox, F.: Sustainable and efficient energy consumption of corn production in Southwest Iran: combination of multi-fuzzy and DEA modeling. Energy 44(1), 672–681 (2012)

    Google Scholar 

  66. Hsiao, B., Chern, C.C., Chiu, Y.H., Chiu, C.R.: Using fuzzy super-efficiency slack-based measure data envelopment analysis to evaluate Taiwan’s commercial bank efficiency. Expert Syst. Appl. 38(8), 9147–9156 (2011)

    Google Scholar 

  67. Hsu, L.C.: Using a decision-making process to evaluate efficiency and operating performance for listed semiconductor companies. Technol. Econ. Dev. Econ. 21(2), 301–331 (2015)

    Google Scholar 

  68. Huang, R.P., Qu, S.J., Yang, X.G., Liu, Z.M.: Multi-stage distributionally robust optimization with risk aversion. J. Ind. Manage. Optim. (2019). https://doi.org/10.3934/jimo.2019109

    Article  Google Scholar 

  69. Inuiguchi, M., Tanino, T.: Data envelopment analysis with fuzzy input-output data. In: Haimes, Y.Y., Steuer, R.E. (eds.) Research and practice in multiple criteria decision making, pp. 296–307. Springer, Berlin (2000)

    Google Scholar 

  70. Izadikhah, M., Tavana, M., Di Caprio, D., Santos-Arteaga, F.J.: A novel two-stage DEA production model with freely distributed initial inputs and shared intermediate outputs. Expert Syst. Appl. 99, 213–230 (2018)

    Google Scholar 

  71. Jafarian-Moghaddam, A.R., Ghoseiri, K.: Multi-objective data envelopment analysis model in fuzzy dynamic environment with missing values. Int. J. Adv. Manuf. Technol. 61(5–8), 771–785 (2012)

    Google Scholar 

  72. Jafarzadeh, H., Akbari, P., Abedin, B.: A methodology for project portfolio selection under criteria prioritisation, uncertainty and projects interdependency—combination of fuzzy QFD and DEA. Expert Syst. Appl. 110, 237–249 (2018)

    Google Scholar 

  73. Jahanshahloo, G.R., Sanei, M., Rostamy-Malkhalifeh, M., Saleh, H.: A comment on “A fuzzy DEA/AR approach to the selection of flexible manufacturing systems”. Comput. Ind. Eng. 56(4), 1713–1714 (2009)

    Google Scholar 

  74. Jahanshahloo, G.R., Soleimani-damaneh, M., Nasrabadi, E.: Measure of efficiency in DEA with fuzzy input–output levels: a methodology for assessing, ranking and imposing of weights restrictions. Appl. Math. Comput. 156(1), 175–187 (2004)

    MathSciNet  MATH  Google Scholar 

  75. Jahed, R., Amirteimoori, A., Azizi, H.: Performance measurement of decision-making units under uncertainty conditions: an approach based on double frontier analysis. Measurement 69, 264–279 (2015)

    Google Scholar 

  76. Jang, S.Y., Lee, J.R., Park, C., Shin, D.Y.: Fuzzy stability of jensen-type quadratic functional equations. Abstr. Appl. Anal., 535678 (2009)

  77. Ji, A.B., Li, F.G., Zhao, P., Pang, J.H.: Fuzzy efficiency measures in data envelopment analysis with interactive fuzzy variables. J. Intell. Fuzzy Syst. 34(6), 4093–4101 (2018)

    Google Scholar 

  78. Kamvysi, K., Gotzamani, K., Andronikidis, A., Georgiou, A.C.: Capturing and prioritizing students’ requirements for course design by embedding Fuzzy-AHP and linear programming in QFD. Eur. J. Oper. Res. 237(3), 1083–1094 (2014)

    Google Scholar 

  79. Kao, C.: Interval efficiency measures in data envelopment analysis with imprecise data. Eur. J. Oper. Res. 174(2), 1087–1099 (2006)

    MATH  Google Scholar 

  80. Kao, C., Liu, S.T.: Efficiencies of two-stage systems with fuzzy data. Fuzzy Sets Syst. 176(1), 20–35 (2011)

    MathSciNet  MATH  Google Scholar 

  81. Kao, H.Y., Chen, B.S.: Efficiency classification by hybrid Bayesian network—the dynamic multidimensional models. Appl. Soft Comput. 24, 842–850 (2014)

    Google Scholar 

  82. Khalili-Damghani, K., Shahmir, Z.: Uncertain network data envelopment analysis with undesirable outputs to evaluate the efficiency of electricity power production and distribution processes. Comput. Ind. Eng. 88, 131–150 (2015)

    Google Scholar 

  83. Khoshfetrat, S., Daneshvar, S.: Improving weak efficiency frontiers in the fuzzy data envelopment analysis models. Appl. Math. Model. 35(1), 339–345 (2011)

    MathSciNet  MATH  Google Scholar 

  84. Kumar, M., Tiwari, M.K., Wong, K.Y., Govindan, K., Kuah, C.T.: Evaluating reverse supply chain efficiency: manufacturer’s perspective. Math. Probl. Eng. 9, 1–9 (2014)

    MathSciNet  MATH  Google Scholar 

  85. Lee, H.S., Yeh, C.H.: A multiple criteria decision making model based on fuzzy multiple objective DEA. In: Gabrys, B., Howlett, R.J., Jain, L.C. (eds.) Knowledge-Based Intelligent Information and Engineering Systems, Pt 2, Proceedings, pp. 917–921. Springer, Berlin (2006)

    Google Scholar 

  86. Lee, S.K., Mogi, G., Hui, K.S.: A fuzzy analytic hierarchy process (AHP)/data envelopment analysis (DEA) hybrid model for efficiently allocating energy R&D resources: in the case of energy technologies against high oil prices. Renew. Sustain. Energy Rev. 21, 347–355 (2013)

    Google Scholar 

  87. Lee, S.K., Mogi, G., Li, Z.L., Hui, K.S., Lee, S.K., Hui, K.N., Park, S.Y., Ha, Y.J., Kim, J.W.: Measuring the relative efficiency of hydrogen energy technologies for implementing the hydrogen economy: an integrated fuzzy AHP/DEA approach. Int. J. Hydrog. Energy 36(20), 12655–12663 (2011)

    Google Scholar 

  88. Leeuwen, V.T.: The application of bibliometric analyses in the evaluation of social science research. Who benefits from it, and why it is still feasible. Scientometrics 66(1), 133–154 (2006)

    Google Scholar 

  89. Leon, T., Liern, V., Ruiz, J.L., Sirvent, I.: A fuzzy mathematical programming approach to the assessment of efficiency with DEA models. Fuzzy Sets Syst. 139(2), 407–419 (2003)

    MathSciNet  MATH  Google Scholar 

  90. Lertworasirkul, S., Fang, S.C., Joines, J.A., Nuttle, H.L.W.: Fuzzy data envelopment analysis (DEA): a possibility approach. Fuzzy Sets Syst. 139(2), 379–394 (2003)

    MathSciNet  MATH  Google Scholar 

  91. Li, X., Liu, Y., Wang, Y.J., Gao, Z.G.: Evaluating transit operator efficiency: an enhanced DEA model with constrained fuzzy-AHP cones. J. Traffic Transp. Eng. Engl. Edn. 3(3), 215–225 (2016)

    Google Scholar 

  92. Liu, S.T.: A fuzzy DEA/AR approach to the selection of flexible manufacturing systems. Comput. Ind. Eng. 54(1), 66–76 (2008)

    Google Scholar 

  93. Liu, J.P., Song, J.M., Xu, Q., Tao, Z.F., Chen, H.Y.: Group decision making based on DEA cross-efficiency with intuitionistic fuzzy preference relations. Fuzzy Optim. Decis. Mak. 18(3), 345–370 (2019)

    MathSciNet  MATH  Google Scholar 

  94. Liu, S.T., Chuang, M.: Fuzzy efficiency measures in fuzzy DEA/AR with application to university libraries. Expert Syst. Appl. 36(2), 1105–1113 (2009)

    MathSciNet  Google Scholar 

  95. Liu, S.T., Lee, Y.C.: Fuzzy measures for fuzzy cross efficiency in data envelopment analysis. Ann. Oper. Res. (2019). https://doi.org/10.1007/s10479-019-03281-4

    Article  Google Scholar 

  96. Liu, Z.M., Qu, S.J., Goh, M., Huang, R.P., Wang, S.L.: Optimization of fuzzy demand distribution supply chain using modified sequence quadratic programming approach. J. Intell. Fuzzy Syst. 36(6), 6167–6180 (2019)

    Google Scholar 

  97. Ma, L.C., Li, H.L.: A fuzzy ranking method with range reduction techniques. Eur. J. Oper. Res. 184(3), 1032–1043 (2008)

    MathSciNet  MATH  Google Scholar 

  98. Mashayekhi, Z., Omrani, H.: An integrated multi-objective Markowitz-DEA cross-efficiency model with fuzzy returns for portfolio selection problem. Appl. Soft Comput. 38, 1–9 (2016)

    Google Scholar 

  99. Mehrasa, B., Behzadi, M.H.: DEA model of random fuzzy with data of skew-normal distribution. Int. J. Appl. Math. Stat. 57(1), 56–64 (2018)

    Google Scholar 

  100. Meng, M.Q.: A hybrid particle swarm optimization algorithm for satisfying data envelopment analysis under fuzzy chance constraints. Expert Syst. Appl. 41(4), 2074–2082 (2014)

    Google Scholar 

  101. Meng, X.L., Shi, F.G.: A generalized fuzzy data envelopment analysis with restricted fuzzy sets and determined constraint condition. J. Intell. Fuzzy Syst. 33(3), 1895–1905 (2017)

    MATH  Google Scholar 

  102. Mirhedayatian, S.M., Vahdat, S.E., Jelodar, M.J., Saen, R.F.: Welding process selection for repairing nodular cast iron engine block by integrated fuzzy data envelopment analysis and TOPSIS approaches. Mater. Des. 43, 272–282 (2013)

    Google Scholar 

  103. Moon, H.S.: The relative efficiency analysis of innovation activities with uncertainty: the case of Korean electronic equipment industry. Innov. Manage. Policy Pract. 15(3), 305–314 (2013)

    Google Scholar 

  104. Mu, W., Kanellopoulos, A., van Middelaar, C.E., Stilmant, D., Bloemhof, J.M.: Assessing the impact of uncertainty on benchmarking the eco-efficiency of dairy farming using fuzzy data envelopment analysis. J. Clean. Prod. 189, 709–717 (2018)

    Google Scholar 

  105. Omrani, H., Shafaat, K., Emrouznejad, A.: An integrated fuzzy clustering cooperative game data envelopment analysis model with application in hospital efficiency. Expert Syst. Appl. 114, 615–628 (2018)

    Google Scholar 

  106. Pai, G.A.V.: Fuzzy decision theory based metaheuristic portfolio optimization and active rebalancing using interval type-2 fuzzy sets. IEEE Trans. Fuzzy Syst. 25(2), 377–391 (2017)

    MathSciNet  Google Scholar 

  107. Park, J., Bae, H., Dinh, T.C., Ryu, K.: Operator allocation in cellular manufacturing systems by integrated genetic algorithm and fuzzy data envelopment analysis. Int. J. Adv. Manuf. Technol. 75(1–4), 465–477 (2014)

    Google Scholar 

  108. Paryab, K., Shiraz, R.K., Jalalzadeh, L., Fukuyama, H.: Imprecise data envelopment analysis model with bifuzzy variables. J. Intell. Fuzzy Syst. 27(1), 37–48 (2014)

    MathSciNet  MATH  Google Scholar 

  109. Puri, J., Yadav, S.P.: A concept of fuzzy input mix-efficiency in fuzzy DEA and its application in banking sector. Expert Syst. Appl. 40(5), 1437–1450 (2013)

    Google Scholar 

  110. Puri, J., Yadav, S.P.: A fully fuzzy DEA approach for cost and revenue efficiency measurements in the presence of undesirable outputs and its application to the banking sector in India. Int. J. Fuzzy Syst. 18(2), 212–226 (2016)

    MathSciNet  Google Scholar 

  111. Qin, R., Liu, Y.K.: Modeling data envelopment analysis by chance method in hybrid uncertain environments. Math. Comput. Simul. 80(5), 922–950 (2010)

    MathSciNet  MATH  Google Scholar 

  112. Qu, S.J., Zhou, Y.Y., Zhang, Y.L., Wahab, M.I.M., Zhang, G., Ye, Y.Y.: Optimal strategy for a green supply chain considering shipping policy and default risk. Comput. Ind. Eng. 131, 172–186 (2019)

    Google Scholar 

  113. Rezaee, M.J., Yousefi, S., Hayati, J.: A decision system using fuzzy cognitive map and multi-group data envelopment analysis to estimate hospitals’ outputs level. Neural Comput. Appl. 29(3), 761–777 (2018)

    Google Scholar 

  114. Rouyendegh, B.D., Oztekin, A., Ekong, J., Dag, A.: Measuring the efficiency of hospitals: a fully-ranking DEA–FAHP approach. Ann. Oper. Res. 278(1–2), 361–378 (2019)

    MathSciNet  MATH  Google Scholar 

  115. Sharifighazvini, M.R., Ghezavati, V.R., Raissi, S., Makui, A.: Integration of a new MCDM approach based on the DEA, FANP with MONLP for efficiency-risk assessment to optimize project portfolio by branch and bound: a real case-study. Econ. Comput. Econ. Cybern. Stud. Res. 52(1), 261–278 (2018)

    Google Scholar 

  116. Shiraz, R.K., Charles, V., Jalalzadeh, L.: Fuzzy rough DEA model: a possibility and expected value approaches. Expert Syst. Appl. 41(2), 434–444 (2014)

    Google Scholar 

  117. Simab, M., Haghifam, M.R.: Using integrated model to assess the efficiency of electric distribution companies. IEEE Trans. Power Syst. 25(4), 1806–1814 (2010)

    Google Scholar 

  118. Singh, S.: Intuitionistic fuzzy DEA/AR and its application to flexible manufacturing systems. Rairo-Oper. Res. 52(1), 241–257 (2018)

    MathSciNet  MATH  Google Scholar 

  119. Soltanzadeh, E., Omrani, H.: Dynamic network data envelopment analysis model with fuzzy inputs and outputs: an application for Iranian Airlines. Appl. Soft Comput. 63, 268–288 (2018)

    Google Scholar 

  120. Song, M.L., Zhou, Y.X., Zhang, R.R., Fisher, R.: Environmental efficiency evaluation with left-right fuzzy numbers. Oper. Res. Int. J. 17(3), 697–714 (2017)

    Google Scholar 

  121. Tao, L.L., Chen, Y., Liu, X.D., Wang, X.: An integrated multiple criteria decision making model applying axiomatic fuzzy set theory. Appl. Math. Model. 36(10), 5046–5058 (2012)

    MATH  Google Scholar 

  122. Tao, L.L., Liu, X.D., Chen, Y.: Online banking performance evaluation using data envelopment analysis and axiomatic fuzzy set clustering. Qual. Quant. 47(2), 1259–1273 (2013)

    Google Scholar 

  123. Tavana, M., Di Caprio, D., Santos-Arteaga, F.J.: An extended stochastic VIKOR model with decision maker’s attitude towards risk. Inf. Sci. 432, 301–318 (2018)

    MathSciNet  Google Scholar 

  124. Tavana, M., Khalili-Damghani, K.: A new two-stage Stackelberg fuzzy data envelopment analysis model. Measurement 53, 277–296 (2014)

    Google Scholar 

  125. Tavana, M., Khalili-Damghani, K., Arteaga, F.J.S., Mahmoudi, R., Hafezalkotob, A.: Efficiency decomposition and measurement in two-stage fuzzy DEA models using a bargaining game approach. Comput. Ind. Eng. 118, 394–408 (2018)

    Google Scholar 

  126. Tavana, M., Mavi, R.K., Santos-Arteaga, F.J., Doust, E.R.: An extended VIKOR method using stochastic data and subjective judgments. Comput. Ind. Eng. 97, 240–247 (2016)

    Google Scholar 

  127. Toloo, M., Keshavarz, E., Hatami-Marbini, A.: Dual-role factors for imprecise data envelopment analysis. Omega 77, 15–31 (2018)

    Google Scholar 

  128. Ustun, A.K.: Evaluating Istanbul’s disaster resilience capacity by data envelopment analysis. Nat. Hazards 80(3), 1603–1623 (2016)

    MathSciNet  Google Scholar 

  129. Valami, H.B.: Cost efficiency with triangular fuzzy number input prices: an application of DEA. Chaos Solitons Fractals 42(3), 1631–1637 (2009)

    MathSciNet  MATH  Google Scholar 

  130. Wang, Y.J., Han, T.C.: Efficiency measurement for international container ports of Taiwan and surrounding areas by fuzzy data envelopment analysis. J. Mar. Sci. Technol. Taiwan 26(2), 185–193 (2018)

    MathSciNet  Google Scholar 

  131. Wang, Y.M., Luo, Y., Liang, L.: Fuzzy data envelopment analysis based upon fuzzy arithmetic with an application to performance assessment of manufacturing enterprises. Expert Syst. Appl. 36(3), 5205–5211 (2009)

    Google Scholar 

  132. Wang, Y.M., Parkan, C.: Multiple attribute decision making based on fuzzy preference information on alternatives: ranking and weighting. Fuzzy Sets Syst. 153(3), 331–346 (2005)

    MathSciNet  MATH  Google Scholar 

  133. Wanke, P., Azad, M.A.K.: Efficiency in Asian railways: a comparison between data envelopment analysis approaches. Transp. Plan. Technol. 41(6), 573–599 (2018)

    Google Scholar 

  134. Wanke, P., Barros, C.P., Emrouznejad, A.: Assessing productive efficiency of banks using integrated Fuzzy-DEA and bootstrapping: a case of Mozambican banks. Eur. J. Oper. Res. 249(1), 378–389 (2016)

    MATH  Google Scholar 

  135. Wanke, P., Barros, C.P., Emrouznejad, A.: A comparison between stochastic DEA and fuzzy DEA approaches: revisiting efficiency in Angolan banks. Rairo-Oper. Res. 52(1), 285–303 (2018)

    MathSciNet  MATH  Google Scholar 

  136. Wen, M.L., Li, H.S.: Fuzzy data envelopment analysis (DEA): model and ranking method. J. Comput. Appl. Math. 223(2), 872–878 (2009)

    MATH  Google Scholar 

  137. Wu, D.D., Olson, D.L.: Fuzzy multiattribute grey related analysis using DEA. Comput. Math. Appl. 60(1), 166–174 (2010)

    MathSciNet  MATH  Google Scholar 

  138. Wu, D.S., Yang, Z.J., Liang, L.: Efficiency analysis of cross-region bank branches using fuzzy data envelopment analysis. Appl. Math. Comput. 181(1), 271–281 (2006)

    MathSciNet  MATH  Google Scholar 

  139. Wu, D.S.D.: Performance evaluation: an integrated method using data envelopment analysis and fuzzy preference relations. Eur. J. Oper. Res. 194(1), 227–235 (2009)

    MathSciNet  MATH  Google Scholar 

  140. Yang, C.Y., Liu, H.M.: Managerial efficiency in Taiwan bank branches: a network DEA. Econ. Model. 29(2), 450–461 (2012)

    Google Scholar 

  141. Yazdi, M.R.T., Mozaffari, M.M., Nazari-Shirkouhi, S., Asadzadeh, S.M.: Integrated fuzzy DEA-ANFIS to measure the success effect of human resource spirituality. Cybern. Syst. 49(3), 151–169 (2018)

    Google Scholar 

  142. Yuan, S.H., Liu, X., Tu, Y.L., Xue, D.Y.: Evaluating supplier performance using DEA and piecewise triangular fuzzy AHP. J. Comput. Inf. Sci. Eng. 8(3), 7–18 (2008)

    Google Scholar 

  143. Zhou, W., Xu, Z.S.: Hesitant fuzzy preference envelopment analysis and alternative improvement. Inf. Sci. 465, 105–117 (2018)

    Google Scholar 

  144. Zhou, X.Y., Pedrycz, W., Kuang, Y.X., Zhang, Z.: Type-2 fuzzy multi-objective DEA model: an application to sustainable supplier evaluation. Appl. Soft Comput. 46, 424–440 (2016)

    Google Scholar 

  145. Zhu, Q.Y., Wu, J., Song, M.L.: Efficiency evaluation based on data envelopment analysis in the big data context. Comput. Oper. Res. 98, 291–300 (2018)

    MathSciNet  MATH  Google Scholar 

  146. Zhu, W.W., Zhou, Z.X.: Interval efficiency of two-stage network DEA model with imprecise data. Inf. Syst. Oper. Res. 51(3), 142–150 (2013)

    MathSciNet  Google Scholar 

Download references

Acknowledgements

This work was supported by the Natural Science Foundation of China [Grant numbers 71561026, 71771155, and 71840001].

Author information

Authors and Affiliations

  1. School of Finance, Yunnan University of Finance and Economics, Kunming, 650221, People’s Republic of China

    Wei Zhou

  2. Business School, State Key Laboratory of Hydraulics and Mountain River Engineering, Sichuan University, No. 24 South Section 1 Yihuan Road, Chengdu, 610065, People’s Republic of China

    Wei Zhou & Zeshui Xu

Authors
  1. Wei Zhou
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Zeshui Xu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Zeshui Xu.

Ethics declarations

Conflict of interest

The authors declare that they have no conflict of interest.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zhou, W., Xu, Z. An Overview of the Fuzzy Data Envelopment Analysis Research and Its Successful Applications. Int. J. Fuzzy Syst. 22, 1037–1055 (2020). https://doi.org/10.1007/s40815-020-00853-6

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s40815-020-00853-6

Keywords

Search

Navigation