Merging Decision-Making Units with Fuzzy Data

Saeid Ghobadi and Khosro Soleimani-Chamkhorami ()
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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

Asia-Pacific Journal of Operational Research (APJOR), 2022, vol. 39, issue 04, 1-26

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.

Keywords: Data envelopment analysis; inverse DEA; merging DMUs; fuzzy data (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0217595921400121

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