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Imprecise Dea — Envelopment And Multiplier Model Approaches

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  • YAO CHEN

    (School of Management, University of Massachusetts at Lowell, Lowell, MA, USA)

Abstract

When multiple outputs and multiple inputs are imprecise data such as bounded data, ordinal data or ratio bound data, the standard linear data envelopment analysis (DEA) model becomes a nonlinear and is called imprecise DEA (IDEA) which can either be converted into a linear program by scale transformations and variable alternations, or solved using the standard DEA model by converting imprecise data into a set of exact data. The current paper investigates the working mechanism of IDEA and shows alternative ways to convert ordinal data into a set of exact data. It is shown that (i) the original IDEA — multiplier IDEA (MIDEA) which is developed from the multiplier DEA model presents the best efficiency scenario, and (ii) the primal IDEA (PIDEA) which is developed from the primal DEA model presents the worst efficiency scenario. The nonlinear PIDEA can also be easily executed by the standard linear DEA models based upon a set of derived exact data whereas it cannot be converted into a linear program via scale transformations and variable alternations.

Suggested Citation

  • Yao Chen, 2007. "Imprecise Dea — Envelopment And Multiplier Model Approaches," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 24(02), pages 279-291.
    • Handle: RePEc:wsi:apjorx:v:24:y:2007:i:02:n:s0217595907001243
    DOI: 10.1142/S0217595907001243
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    Cited by:

    1. Abroskin, Alexander, 2014. "Statistical Analysis of the Development of Science and Innovation in the Russian Federation," Published Papers r90214, Russian Presidential Academy of National Economy and Public Administration.
    2. Yu Yu & Weiwei Zhu & Qian Zhang, 2019. "DEA cross-efficiency evaluation and ranking method based on interval data," Annals of Operations Research, Springer, vol. 278(1), pages 159-175, July.

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