Issue: 2021/Vol.31/No.1, Pages 21-39

A COMPOSITIONAL APPROACH TO TWO-STAGE DATA ENVELOPMENT ANALYSIS IN INTUITIONISTIC FUZZY ENVIRONMENT

Nafiseh Javaherian, Ali Hamzehee, Hossein Sayyadi Tooranloo

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Cite as: N. Javaherian, A. Hamzehee, H. S. Tooranloo. A compositional approach to two-stage Data Envelopment Analysis in intuitionistic fuzzy environment. Operations Research and Decisions 2021: 31(1), 21-39. DOI 10.37190/ord210101

Abstract
Classical methods of data envelopment analysis operate by measuring the efficiency of decision-making units (DMUs) compared to similar units, without taking their internal structure into account. However, some DMUs consist of two stages, with the first stage producing an intermediate product, which is then consumed in the second stage to produce the final output. The efficiency of this type of DMU is often measured using two-stage network data envelopment analysis. In real world, most data are vague. Therefore, the inputs and outputs of systems with vagueness data create uncertainty challenges for DMUs. As a result, when uncertainty appears, intuitionistic fuzzy sets can show more information than classical fuzzy sets. This paper presents a model of two-stage Network Data Envelopment Analysis based on intuitionistic fuzzy data, which measures the efficiency of the first and second stages of each DMU, and the overall efficiency measures based on the stage efficiencies.

Keywords: data envelopment analysis, intuitionistic fuzzy, two-stage DEA, triangular numbers

Received: 26 July 2020    Accepted: 26 February 2021