An Extended Three-Stage DEA Model with Interval Inputs and Outputs

Abstract

The traditional three-stage data envelopment analysis (DEA) model only measures exact input-output indicator data, but cannot perform efficiency analysis on uncertain data. The interval DEA method does not exclude the influence of external environmental factors. Therefore, this paper combines the traditional three-stage DEA model with the interval DEA method, and proposes a three-stage interval DEA efficiency model, which eliminates the impact of external environmental factors and realizes the measurement of the efficiency for interval data. From the perspective of the impact of environmental factors, defining the degree of efficiency change vector, a clustering analysis technique based on the efficiency change degree vector is proposed to provide improvement benchmark for poorly performing decision-making units. Finally, an example is used to demonstrate the feasibility and validity of the proposed method in this paper.

The Studies on Efficiency Analysis in Applied Economics Using a Three-Stage Data Envelopment Analysis

“…Finally, they compared their model to the black box DEA model and determined that the network DEA produces more insightful and accurate results in terms of bank efficiencies. Chen, et al [2021] the studies used an extended three-stage DEA approach with interval inputs and outputs. As a result, this work integrates the classic three-stage DEA model with the interval DEA approach, and offers a three-stage interval DEA efficiency model, that eradicates the impact of external environmental factors and enables the evaluation of efficiency for interval data.…”

Exploring the Effect of COVID-19 on Airline Environmental Efficiency Through an Interval Epsilon-based Measure Model

“…Zhou et al (2019) Poordavoodi et al (2020) combined the interval DEA model with interval entropy weight to evaluate the efficiency of Web services. Cheng et al (2020) proposed a three-stage IDEA efficiency model to measure the efficiency of interval data and eliminate the influence of external environmental factors. Cui et al (2020) applied the interval SBM model to measure the impact of Carbon Neutral Growth from the 2020 (CNG2020) strategy on the efficiency of 24 airlines during the period 2021-2022.…”

Exploring the effect of COVID-19 on airline environmental efficiency through an interval epsilon-based measure model

“…Based on the BCC model and simple Russell model, Poordavoodi et al ( 2020 ) combined the interval DEA model with interval entropy weight to evaluate the efficiency of Web services. Cheng et al ( 2020 ) proposed a three-stage IDEA model to measure the efficiency of interval data and eliminate the influence of external environmental factors. Cui et al ( 2020 ) applied the interval SBM model to measure the impact of Carbon Neutral Growth from the 2020 (CNG2020) strategy on the efficiency of 24 airlines during the period 2021–2022.…”