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Merging Decision-Making Units with Fuzzy Data

Author

Listed:
  • Saeid Ghobadi

    (Department of Mathematics, Khomeinishar Branch, Islamic Azad University, Isfahan, Iran)

  • Khosro Soleimani-Chamkhorami

    (Department of Mathematics, Najafabad Branch, Islamic Azad University, Najafabad, Iran)

Abstract

This paper studies the problem of target setting for a generated entity from a merger among two or more decision making units. Identification of the inherited input/output levels from merging decision-making units is an important issue. In this study, a novel inverse data envelopment analysis model is introduced for target setting of a merger in the presence of fuzzy data. This model enables the merged unit to recognize the required input/output levels from merging units to achieve a predefined efficiency target. Moreover, a fuzzy linear programming model is presented for estimating the minimum attainable efficiency score through a given merging. Then, the performance of the proposed method is examined through a banking application.

Suggested Citation

  • Saeid Ghobadi & Khosro Soleimani-Chamkhorami, 2022. "Merging Decision-Making Units with Fuzzy Data," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 39(04), pages 1-26, August.
    • Handle: RePEc:wsi:apjorx:v:39:y:2022:i:04:n:s0217595921400121
    DOI: 10.1142/S0217595921400121
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