Calculation of non-radial efficiency of decision-making units with fuzzy data using GDEA model

Subject Areas : International Journal of Data Envelopment Analysis

Atefeh Farshad ¹ , Mohsen Rostamy-Malkhalifeh ²

1 - IAU
2 - Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran

Received: 2021-01-13 Accepted : 2021-05-01 Published : 2021-05-01

Keywords: Data Envelopment Analysis, Efficiency, Multi-objective linear programming problem. Fuzzy multi-objective linear programming problem,

Abstract :

All managers need to evaluate the units under their supervision. To evaluate the units, they must determine the evaluation indicators and then calculate the efficiency of each unit with the help of these indicators. In practice, many indicators may not be small, but have a qualitative value or their values are fuzzy in this article we want to calculate the units under evaluation that have the same inputs and outputs. To evaluate the performance of these units with fuzzy data, first for each unit, we calculate the nature of the output in such a way that according to the desired input, what can be the maximum value of the output because the number of outputs is more than one, so we have a multi-objective linear programming problem to be answered by solving the multi-objective linear programming problem We use flexible fuzzy. In the introduced model, we first change the fuzzy linear programming problem to a multi-objective linear programming problem with three objective functions using the alphabetical method arranged on triangular fuzzy numbers, so using this method is an optimal solution. Lexicography of the ML problem We find OP.