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.
Keywords: Data Envelopment Analysis, fuzzy number, complex number, ranking, power plant
@article{RO_2021__55_S1_S2013_0,
author = {Esfandiari, Mahmood and Saati, Saber},
title = {Data envelopment analysis with fuzzy complex numbers with an empirical case on power plants of {Iran}},
journal = {RAIRO. Operations Research},
pages = {S2013--S2025},
year = {2021},
publisher = {EDP-Sciences},
volume = {55},
doi = {10.1051/ro/2020068},
mrnumber = {4223183},
zbl = {1472.90066},
language = {en},
url = {https://www.numdam.org/articles/10.1051/ro/2020068/}
}
TY - JOUR AU - Esfandiari, Mahmood AU - Saati, Saber TI - Data envelopment analysis with fuzzy complex numbers with an empirical case on power plants of Iran JO - RAIRO. Operations Research PY - 2021 SP - S2013 EP - S2025 VL - 55 PB - EDP-Sciences UR - https://www.numdam.org/articles/10.1051/ro/2020068/ DO - 10.1051/ro/2020068 LA - en ID - RO_2021__55_S1_S2013_0 ER -
%0 Journal Article %A Esfandiari, Mahmood %A Saati, Saber %T Data envelopment analysis with fuzzy complex numbers with an empirical case on power plants of Iran %J RAIRO. Operations Research %D 2021 %P S2013-S2025 %V 55 %I EDP-Sciences %U https://www.numdam.org/articles/10.1051/ro/2020068/ %R 10.1051/ro/2020068 %G en %F RO_2021__55_S1_S2013_0
Esfandiari, Mahmood; Saati, Saber. Data envelopment analysis with fuzzy complex numbers with an empirical case on power plants of Iran. RAIRO. Operations Research, Tome 55 (2021), pp. S2013-S2025. doi: 10.1051/ro/2020068
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