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Fuzzy Efficiency Decomposition in Two–Stage Systems: A New Slack-Based Measure Approach

Year: 2024

Type: article

Abstract: Data envelopment analysis (DEA) is a non-parametric tool for evaluating the relative efficiency of comparable entities referred to as Decision Making Units (DMUs). Conventional DEA models treat systems as black box and do not consider their internal structure. Network data envelopment analysis (NDEA) is a prominent method for assessing the efficiency of network systems based on radial and non-radial approaches. The special case of network systems are two-stage systems. Many real practices have two-stage structure where is divided into two processes. Conventional NDEA calculates the efficiency of these systems in presence of crisp data. But in real life applications, the observed values of data are often uncertain. In this paper, for the first time, a new non-radial approach (based on slack based measure) is introduced, which evaluates the efficiency of two-stage systems in the presence of triangular fuzzy numbers(TFNs) using cut technique and optimistic and pessimistic procedures. The properties of the suggested models will also be examined. Finally, a numerical example will be provided to illustrate the proposed models.

Source: International journal of mathematical modelling and computations

DOI: 10.71932/ijm.2024.1197994

Authors: Ziyae Berentin, Manoochehr, Tohidi, Ghasem, Razavyan, Shabnam, Barkhordari, Mahnaz

Institutions: Islamic Azad University, Tehran, Islamic Azad University, Lahijan Branch, Islamic Azad University Central Tehran Branch, Islamic Azad University South Tehran Branch, Islamic Azad University Bandar Abbas

Language: English

Topic: Efficiency Analysis Using DEA

Subfield: Management Science and Operations Research

Field: Decision Sciences

Domain: Social Sciences

Open Access status: diamond

OpenAlex ID: W6977629591

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