Development of Bi-Objective Fuzzy Data Envelopment Analysis Model to Measure the Efficiencies of Decision-Making Units

Awadh Pratap Singh and Musrrat Ali ()
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Awadh Pratap Singh: School of Liberal Studies, University of Petroleum and Energy Studies, Prem Nagar 248007, Uttarakhand, India
Musrrat Ali: Department of Basic Sciences, PYD, King Faisal University, Al Ahsa 31982, Saudi Arabia

Mathematics, 2023, vol. 11, issue 6, 1-15

Abstract: The proposed bi-objective fuzzy data envelopment analysis (BOFDEA) model is a new approach to assess the performance efficiency of decision-making units (DMUs) in uncertain environments using α -cuts. The model is based on fuzzy data envelopment analysis (FDEA) and considers two objectives, and a solution method and ranking system are provided. Generally, the efficiency score obtained for a DMU using the α -cut approach is an interval. Intervals are partially ordered sets, due to which ranking intervals is a challenging task. The proposed BOFDEA model with α -cuts provides the efficiency of DMUs in the crisp form, not in the form of intervals. Due to this, ranking DMUs with the proposed method’s help becomes very easy and less computationally. The proposed model has been validated through numerical examples, and a real-world application in the education sector has been shown to demonstrate its practicality.

Keywords: data envelopment analysis; triangular fuzzy number; performance efficiency; ranking approach; geometric average efficiency approach (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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