Volume 55, 2021Regular articles published in advance of the transition of the journal to Subscribe to Open (S2O). Free supplement sponsored by the Fonds National pour la Science Ouverte
|Page(s)||S2013 - S2025|
|Published online||02 March 2021|
Data envelopment analysis with fuzzy complex numbers with an empirical case on power plants of iran
Department of Industrial Engineering, Faculty of Industrial Engineering, South Tehran Branch, Islamic Azad University, Tehran, Iran
2 Department of Mathematics, North Tehran Branch, Islamic Azad University, Tehran, Iran
* Corresponding author: firstname.lastname@example.org
Accepted: 22 June 2020
Using Data Envelopment Analysis (DEA) in complex environment is an idea that has recently presented for measuring the relative efficiencies of a set of Decision Making Units (DMUs) with complex inputs and outputs. The values of the input and output data in real-world problems appear sometimes as fuzzy complex number. For dealing with these types of data in DEA, we need to design a new model. This paper proposes a DEA model with triangular fuzzy complex numbers and solve it by using the concept of the data size and the α-level approach. This method transforms DEA model with fuzzy complex data to a linear programing problem with crisp data. In the following, a ranking model is also developed using the above approach to rank the efficient DMUs. The proposed method is presented for the first time by the authors and there is no similar method. Finally, we present a case study in the generators of the steam power plants to demonstrate the applicability of the proposed methods in the power industry.
Mathematics Subject Classification: 90C08 / 90C70 / 97F50
Key words: Data Envelopment Analysis / fuzzy number / complex number / ranking / power plant
© EDP Sciences, ROADEF, SMAI 2021
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