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Sensitivity and stability analysis in two-stage DEA models with fuzzy data

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  • Kaveh Khalili-Damghani
  • Behnam Taghavifard

Abstract

In this paper, a fuzzy two-stage (FTSDEA) has been proposed. Each decision-making unit (DMU) has been supposed to make up two serially connected sub-DMUs. The uncertainty of measures has been represented using linguistic terms parameterised through fuzzy sets. Mathematical modelling of proposed FTSDEA results in a great reduction of computational efforts. Then, a sensitivity analysis has also been supplied for the proposed FTSDEA to determine the radius of stability within which data variations in a fuzzy environment will not alter a DMU's, sub-DMU's classification from efficient to inefficient status or vice versa. A set of efficient models has been proposed to this aim in a fuzzy environment. An illustrative example has been supplied to demonstrate the applicability of the proposed method.

Suggested Citation

  • Kaveh Khalili-Damghani & Behnam Taghavifard, 2013. "Sensitivity and stability analysis in two-stage DEA models with fuzzy data," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 17(1), pages 1-37.
    • Handle: RePEc:ids:ijores:v:17:y:2013:i:1:p:1-37
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    Citations

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    Cited by:

    1. Adel Hatami-Marbini & Zahra Ghelej Beigi & Hirofumi Fukuyama & Kobra Gholami, 2015. "Modeling Centralized Resources Allocation and Target Setting in Imprecise Data Envelopment Analysis," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 14(06), pages 1189-1213, November.
    2. Plácido Moreno & Sebastián Lozano, 2020. "Fuzzy Ranking Network DEA with General Structure," Mathematics, MDPI, vol. 8(12), pages 1-18, December.
    3. Madjid Tavana & Kaveh Khalili-Damghani & Rahman Rahmatian, 2015. "A hybrid fuzzy MCDM method for measuring the performance of publicly held pharmaceutical companies," Annals of Operations Research, Springer, vol. 226(1), pages 589-621, March.
    4. Sarah J.-Sharahi & Kaveh Khalili-Damghani & Amir-Reza Abtahi & Alireza Rashidi Komijan, 2021. "A new network data envelopment analysis models to measure the efficiency of natural gas supply chain," Operational Research, Springer, vol. 21(3), pages 1461-1486, September.
    5. Mohammad Amirkhan & Hosein Didehkhani & Kaveh Khalili-Damghani & Ashkan Hafezalkotob, 2018. "Measuring Performance of a Three-Stage Network Structure Using Data Envelopment Analysis and Nash Bargaining Game: A Supply Chain Application," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 17(05), pages 1429-1467, September.

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