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Measuring efficiency of a hierarchical organization with fuzzy DEA method

Author

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  • Florica LUBAN

    (The Bucharest Academy of Economic Studies, Romania)

Abstract

The paper analyses how the data envelopment analysis (DEA) and fuzzy set theory can be used to measure and evaluate the efficiency of a hierarchical system with n decision making units and a coordinating unit. It is presented a model for determining the of activity levels of decision making units so as to achieve both fuzzy objectives of achieving global target levels of coordination unit on the inputs and outputs and individual target levels of decision making units, and then some methods to resolve fuzzy models are proposed.

Suggested Citation

  • Florica LUBAN, 2009. "Measuring efficiency of a hierarchical organization with fuzzy DEA method," Economia. Seria Management, Faculty of Management, Academy of Economic Studies, Bucharest, Romania, vol. 12(1), pages 87-97, June.
    • Handle: RePEc:rom:econmn:v:12:y:2009:i:1:p:87-97
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    File URL: https://www.management.ase.ro/reveconomia/2009-1/7.pdf
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    References listed on IDEAS

    as
    1. R. E. Bellman & L. A. Zadeh, 1970. "Decision-Making in a Fuzzy Environment," Management Science, INFORMS, vol. 17(4), pages 141-164, December.
    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. Entani, Tomoe & Maeda, Yutaka & Tanaka, Hideo, 2002. "Dual models of interval DEA and its extension to interval data," European Journal of Operational Research, Elsevier, vol. 136(1), pages 32-45, January.
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    5. Athanassopoulos, Antreas D., 1995. "Goal programming & data envelopment analysis (GoDEA) for target-based multi-level planning: Allocating central grants to the Greek local authorities," European Journal of Operational Research, Elsevier, vol. 87(3), pages 535-550, December.
    6. Cook, Wade D. & Seiford, Larry M., 2009. "Data envelopment analysis (DEA) - Thirty years on," European Journal of Operational Research, Elsevier, vol. 192(1), pages 1-17, January.
    7. William W. Cooper & Kyung Sam Park & Gang Yu, 1999. "IDEA and AR-IDEA: Models for Dealing with Imprecise Data in DEA," Management Science, INFORMS, vol. 45(4), pages 597-607, April.
    8. C Kao & S-Tai Liu, 2000. "Data envelopment analysis with missing data: an application to University libraries in Taiwan," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 51(8), pages 897-905, August.
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    Cited by:

    1. 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.

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    More about this item

    Keywords

    fuzzy DEA; policy making in multi-level organisations; efficiency analysis;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C65 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Miscellaneous Mathematical Tools
    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
    • L25 - Industrial Organization - - Firm Objectives, Organization, and Behavior - - - Firm Performance

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