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Additive DEA based on MCDA with imprecise information

Author

Listed:
  • M C Gouveia

    (ISCAC Coimbra
    INESC Coimbra)

  • L C Dias

    (INESC Coimbra
    Fac. Economia Univ. Coimbra)

  • C H Antunes

    (INESC Coimbra
    DEEC-FCT Universidade de Coimbra-Pólo II)

Abstract

This work exploits links between Data Envelopment Analysis (DEA) and multicriteria decision analysis (MCDA), with decision making units (DMUs) playing the role of decision alternatives. A novel perspective is suggested on the use of the additive DEA model in order to overcome some of its shortcomings, using concepts from multiattribute utility models with imprecise information. The underlying idea is to convert input and output factors into utility functions that are aggregated using a weighted sum (additive model of multiattribute utility theory), and then let each DMU choose the weights associated with these functions that minimize the difference of utility to the best DMU. The resulting additive DEA model with oriented projections has a clear rationale for its efficiency measures, and allows meaningful introduction of constraints on factor weights.

Suggested Citation

  • M C Gouveia & L C Dias & C H Antunes, 2008. "Additive DEA based on MCDA with imprecise information," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(1), pages 54-63, January.
    • Handle: RePEc:pal:jorsoc:v:59:y:2008:i:1:d:10.1057_palgrave.jors.2602317
    DOI: 10.1057/palgrave.jors.2602317
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    References listed on IDEAS

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    1. Tarja Joro & Pekka Korhonen & Jyrki Wallenius, 1998. "Structural Comparison of Data Envelopment Analysis and Multiple Objective Linear Programming," Management Science, INFORMS, vol. 44(7), pages 962-970, July.
    2. Ali, Agha Iqbal & Lerme, Catherine S. & Seiford, Lawrence M., 1995. "Components of efficiency evaluation in data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 80(3), pages 462-473, February.
    3. Merja Halme & Tarja Joro & Pekka Korhonen & Seppo Salo & Jyrki Wallenius, 1999. "A Value Efficiency Approach to Incorporating Preference Information in Data Envelopment Analysis," Management Science, INFORMS, vol. 45(1), pages 103-115, January.
    4. D Bouyssou, 1999. "Using DEA as a tool for MCDM: some remarks," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 50(9), pages 974-978, September.
    5. 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.
    6. Doyle, J & Green, R, 1993. "Data envelopment analysis and multiple criteria decision making," Omega, Elsevier, vol. 21(6), pages 713-715, November.
    7. Charnes, A. & Cooper, W. W. & Golany, B. & Seiford, L. & Stutz, J., 1985. "Foundations of data envelopment analysis for Pareto-Koopmans efficient empirical production functions," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 91-107.
    8. Miettinen, Kaisa & Salminen, Pekka, 1999. "Decision-aid for discrete multiple criteria decision making problems with imprecise data," European Journal of Operational Research, Elsevier, vol. 119(1), pages 50-60, November.
    9. L C Dias & J N Clímaco, 2000. "Additive aggregation with variable interdependent parameters: the VIP analysis software," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 51(9), pages 1070-1082, September.
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    Cited by:

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    2. Henriques, C.O. & Gouveia, C.M. & Tenente, M. & da Silva, P.P., 2022. "Employing Value-Based DEA in the eco-efficiency assessment of the electricity sector," Economic Analysis and Policy, Elsevier, vol. 73(C), pages 826-844.
    3. Henriques, C.O. & Gouveia, M.C., 2022. "Assessing the impact of COVID-19 on the efficiency of Portuguese state-owned enterprise hospitals," Socio-Economic Planning Sciences, Elsevier, vol. 84(C).
    4. Pereira, Miguel Alves & Figueira, José Rui & Marques, Rui Cunha, 2020. "Using a Choquet integral-based approach for incorporating decision-maker’s preference judgments in a Data Envelopment Analysis model," European Journal of Operational Research, Elsevier, vol. 284(3), pages 1016-1030.
    5. Anna Labijak-Kowalska & Miłosz Kadziński, 2023. "Exact and stochastic methods for robustness analysis in the context of Imprecise Data Envelopment Analysis," Operational Research, Springer, vol. 23(1), pages 1-34, March.
    6. Ahti Salo & Antti Punkka, 2011. "Ranking Intervals and Dominance Relations for Ratio-Based Efficiency Analysis," Management Science, INFORMS, vol. 57(1), pages 200-214, January.
    7. Silvia González-de-Julián & Isabel Barrachina-Martínez & David Vivas-Consuelo & Álvaro Bonet-Pla & Ruth Usó-Talamantes, 2021. "Data Envelopment Analysis Applications on Primary Health Care Using Exogenous Variables and Health Outcomes," Sustainability, MDPI, vol. 13(3), pages 1-17, January.
    8. Maria Elisabete Duarte Neves & Maria Do Castelo Gouveia & Catarina Alexandra Neves Proença, 2020. "European Bank’s Performance and Efficiency," JRFM, MDPI, vol. 13(4), pages 1-17, April.
    9. Stewart, Theodor J., 2010. "Goal directed benchmarking for organizational efficiency," Omega, Elsevier, vol. 38(6), pages 534-539, December.
    10. Santos, Sérgio P. & Belton, Valerie & Howick, Susan & Pilkington, Martin, 2018. "Measuring organisational performance using a mix of OR methods," Technological Forecasting and Social Change, Elsevier, vol. 131(C), pages 18-30.
    11. M Tavana & M A Sodenkamp, 2010. "A fuzzy multi-criteria decision analysis model for advanced technology assessment at Kennedy Space Center," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(10), pages 1459-1470, October.
    12. Henriques, C.O. & Chavez, J.M. & Gouveia, M.C. & Marcenaro-Gutierrez, O.D., 2022. "Efficiency of secondary schools in Ecuador: A value based DEA approach," Socio-Economic Planning Sciences, Elsevier, vol. 82(PA).
    13. Gouveia, M.C. & Henriques, C.O. & Costa, P., 2021. "Evaluating the efficiency of structural funds: An application in the competitiveness of SMEs across different EU beneficiary regions," Omega, Elsevier, vol. 101(C).
    14. Labijak-Kowalska, Anna & Kadziński, Miłosz & Dias, Luis C., 2024. "Robustness analysis for imprecise additive value efficiency analysis with an application to evaluation of special economic zones in Poland," Socio-Economic Planning Sciences, Elsevier, vol. 92(C).
    15. Gouveia, M.C. & Henriques, C.O. & Dias, L.C., 2023. "Eco-efficiency changes of the electricity and gas sectors across 28 European countries: A value-based data envelopment analysis productivity approach," Socio-Economic Planning Sciences, Elsevier, vol. 87(PB).
    16. Catarina Alexandra Neves Proença & Maria Elisabete Duarte Neves & Maria Castelo Baptista Gouveia & Mara Teresa Silva Madaleno, 2023. "Technological, healthcare and consumer funds efficiency: influence of COVID-19," Operational Research, Springer, vol. 23(2), pages 1-42, June.
    17. 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.
    18. Kadziński, Miłosz & Labijak, Anna & Napieraj, Małgorzata, 2017. "Integrated framework for robustness analysis using ratio-based efficiency model with application to evaluation of Polish airports," Omega, Elsevier, vol. 67(C), pages 1-18.
    19. M. C. Gouveia & L. C. Dias & C. H. Antunes & M. A. Mota & E. M. Duarte & E. M. Tenreiro, 2016. "An application of value-based DEA to identify the best practices in primary health care," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 38(3), pages 743-767, July.
    20. Madjid Tavana & Mariya Sodenkamp & Leena Suhl, 2010. "A soft multi-criteria decision analysis model with application to the European Union enlargement," Annals of Operations Research, Springer, vol. 181(1), pages 393-421, December.

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