Affiliations: [a] Department of Applied Mathematics, Yadegar-e-Imam Khomeini (RAH), Shahr-rey Branch, Islamic Azad University, Tehran, Iran | [b] Department of Industrial Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran
Correspondence:
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Corresponding author. Hadi Bagherzadeh valami, Department of Applied Mathematics, Yadegar-e-Imam Khomeini (RAH), Shahr-rey Branch, Islamic Azad University, Tehran, Iran. E-mail: [email protected].
Abstract: Data Envelopment Analysis (DEA) is a widely applied approach for measuring the relative efficiencies of a set of Decision Making Units (DMUs), which use multiple inputs to produce multiple outputs. In real world problems the data available may be imprecise. With fuzzy inputs and fuzzy outputs, the optimality conditions for the crisp DEA Models need to be clarified and generalized. The corresponding fuzzy linear programming problem is usually solved using some ranking methods for fuzzy sets. The methods of solving fuzzy DEA problems can be categorized into four distinct approaches: tolerance approach, defuzzification approach, α-level based approach, and fuzzy ranking approach In this paper, we introduce a new α-level based approach and a numerical method for ranking DMUs with fuzzy data.
Keywords: Data envelopment analysis (DEA), fuzzy mathematical programming, efficiency, Interval data, fuzzy data
