Efficiency Evaluation of Two-Stage Data Envelopment Analysis Model Based on Triangular Intuitionistic Fuzzy numbers andslack variables

Subject Areas : Statistics

nafiseh javaherian ¹ , Ali Hamzehee ² , Hossein sayyadi Tooranloo ³ , Reza Soleymani-Damaneh ⁴

1 - Department of applied mathematics, Islamic Azad university, Kerman Branch, Kerman, Iran
2 - Assistant Professor in applied mathematics, Department of applied mathematics, Kerman Branch, Islamic Azad university, Kerman, Iran
3 - Associate Professor in Industrial Management, Department of Management, Meybod University, Meybod, Iran
4 - Assistant Professor in Management, Department of Management, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran

Received: 2019-10-23 Accepted : 2020-07-08 Published : 2022-01-21

Keywords: متغیرهای کمکی, اعداد مثلثی فازی شهودی, تحلیل پوششی داده ها, تحلیل پوششی داده های دو مرحله ای فازی شهودی,

Abstract :

Data Envelopment Analysis (DEA) is one of the best tools for evaluating the performance of decision-making units. Traditional DEA fails to measure efficient and inefficient units and evaluate the performance of network systems, and traditional models of DEA do not pay attention to internal structures and intermediate values. For this reason, in recent years, DEA model, known as network Data Envelopment Analysis models, have been introduced, this models eliminated this deficiency by considering intermediate values. In this paper, DEA based on network two-stage and slack variables and triangular intuitionistic fuzzy data is used to identify the efficiency of units. At first, the two-stage DEA model is introduced and then the model is transformed based on intuitionistic fuzzy coefficients and variables and finally it is converted to crisp two-stage structures by arithmetic operators on intuitionistic fuzzy data. The importance of this model is to measure the values of slack variables, which based on the Tone and Tsutsui model optimizes the intermediate values for inefficient units and ultimately shows better inefficiency. Finally, the optimized intermediate values are considered in the proposed model and thus are improved the overall efficiency of the system.

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