Volume 57, Number 5, September-October 2023
|Page(s)||2315 - 2330|
|Published online||19 September 2023|
General and multiplicative non-parametric models with interval ratio data: application to the banking industry
Department of Mathematics, Isfahan (Khorasgan) Branch, Islamic Azad University, Isfahan, Iran
2 School of Management, University of Bradford, Bradford BD7 1SR, UK
3 Department of Mathematics, Mobarakeh Branch, Islamic Azad University, Mobarakeh, Isfahan, Iran
* Corresponding author: email@example.com
Accepted: 15 July 2023
The empirical literature has tried to propose relevant data envelopment analysis (DEA) models to evaluate the efficiency level of the decision-making unit (DMU) in the presence of interval ratio data; however, the use of variable production frontier in the evaluation suffers from a number of limitations. The current study fills in the gap in the previous literature by proposing relevant DEA models based on interval arithmetic, through which the shortcomings of the previous existing studies have been overcome. The findings show that extra variable changes are not needed by the proposed model and a fixed, unified production frontier can be used to measure the DMUs’ efficiency with interval data. The potential application of the proposed model is illustrated through a numerical example in the banking industry.
Mathematics Subject Classification: 90Bxx / 90C05 / 90C90
Key words: Data envelopment analysis (DEA) / interval DEA models / ratio analysis / multiplicative non-parametric / corporate performance / banking industry
© The authors. Published by EDP Sciences, ROADEF, SMAI 2023
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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