Efficiency ranking of DMUS with fuzzy data

Subject Areas : Economic Development, Innovation, Technological Change, and Growth

ندا بشاک ¹ , Shokrollah Ziari ^{2 *} , Mohammad Mehdi Movahedi ³ , Amir Gholam Abri ⁴ , Amirmehdi Miandaragh ⁵

1 - PhD. Student, Department of Industrial Management, South Tehran Branch, Islamic Azad University, Tehran, Iran, [e-mail]
2 - Department of Mathematics, South Tehran Branch, Islamic Azad University, Tehran, Iran, (Corresponding Author), [e-mail]
3 - Associate Professor, Department of Industrial Management, Firoozkooh Branch, Islamic Azad University, Firoozkooh, Iran, [e-mail]
4 - Associate Professo, Department of Mathematics, Firuzkoh Branch, Islamic Azad University, Firozkoh, Iran, [e-mail]
5 - department of mathemathics,islamic azad university,firoozkooh branch, firoozkooh iran

Received: 2024-08-22 Accepted : 2025-01-11 Published : 2025-01-11

Keywords: Data Envelopment Anlysis, Fuzzy TOPSIS technique, Fuzzy TOPSIS-DEA, Ranking of decision making units JEL Classification: C01, C44, C61,

Abstract :

The aim of this research is to present an integrated method of data envelopment analysis (DEA) and fuzzy TOPSIS technique based on similarity to the ideal solution for the complete ranking of decision making units in a fuzzy environment. In this method, DMUs are considered as alternatives, input variables as cost criteria (negative attributes) and output variables as benefit criteria (positive attributes); Because the efficiency of a DMU increases by increasing the values of the outputs and decreasing the values of the inputs. In addition, the presented method can be used to rank DMUs with unfavorable outputs. The efficiency and simplicity of this method have been investigated via examples and case study. Also, the obtained results have been compared with the results in related articles

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