Fuzzy Cross Efficiency Measurement for Two-Stage Network DEA

Subject Areas : International Journal of Mathematical Modelling & Computations

Seyed esmaeil najafi ^{1 *} , Zohreh Moghaddas ² , Abdol Hossein Tajik Yabr ³ , Parisa Shahnazari Shahrezaei ⁴

1 - Department of Industrial Engineering, Science and Research Branch of the Islamic Azad University
2 - دانشگاه آزاد قزوین
3 - Department of Industrial Engineering, Central Tehran Branch, Islamic Azad University, Tehran, Iran
4 - Department of Industrial Engineering, Islamic Azad University, Branch of Firoozkouh

Received: 2024-04-02 Accepted : 2024-06-27 Published : 2024-06-30

Keywords: data envelopment analysis , Network Data Envelopment Analysis , Fuzzy Data Envelopment Analysis , fuzzy cross efficiency,

Abstract :

The data envelopment analysis (DEA), as a nonparametric method in operational research, is used to measure the efficiency of a set of homogeneous decision-making units (DMU) with the help of linear programming. Up to now, this method has been extended to be used in various fields. For example, cross-efficiency evaluation, as a ranking technique, has been developed to address the challenges of traditional models. Moreover, the Fuzzy Data Envelopment Analysis (FDEA) and the Network Data Envelopment Analysis (NDEA) have been proposed to be used in terms of imprecise data and systems with internal processes, respectively. The existing models do not work when a decision maker tries to measure the efficiency under all these conditions, and thus there is a need for a unified model that considers all these conditions. In the present study, we present several models to measure the fuzzy cross efficiency of a general two-stage system. The aim of this study is to use the proposed models in the banking industry. In this regard, a case study is conducted to rank the branches of one of Iranian banks. Finally, we compare the results derived using the proposed models.

 

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