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Pourmahmoud, Jafar, Aliabadi, Sima, farzipour Saen, Reza, Ghaffari-hadigheha, Alireza. (1404). Uncertainty in Inverse Data Envelopment Analysis:A Novel Approach for CO2 Emission Efficiency. , (), -. doi: 10.22049/cco.2025.30515.2510
Jafar Pourmahmoud; Sima Aliabadi; Reza farzipour Saen; Alireza Ghaffari-hadigheha. "Uncertainty in Inverse Data Envelopment Analysis:A Novel Approach for CO2 Emission Efficiency". , , , 1404, -. doi: 10.22049/cco.2025.30515.2510
Pourmahmoud, Jafar, Aliabadi, Sima, farzipour Saen, Reza, Ghaffari-hadigheha, Alireza. (1404). 'Uncertainty in Inverse Data Envelopment Analysis:A Novel Approach for CO2 Emission Efficiency', , (), pp. -. doi: 10.22049/cco.2025.30515.2510
Pourmahmoud, Jafar, Aliabadi, Sima, farzipour Saen, Reza, Ghaffari-hadigheha, Alireza. Uncertainty in Inverse Data Envelopment Analysis:A Novel Approach for CO2 Emission Efficiency. , 1404; (): -. doi: 10.22049/cco.2025.30515.2510

Uncertainty in Inverse Data Envelopment Analysis:A Novel Approach for CO2 Emission Efficiency

Communications in Combinatorics and Optimization
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 23 شهریور 1404
نوع مقاله: Original paper
شناسه دیجیتال (DOI): 10.22049/cco.2025.30515.2510
نویسندگان
Jafar Pourmahmoud* 1؛ Sima Aliabadi2؛ Reza farzipour Saen3؛ Alireza Ghaffari-hadigheha2
1Azarbaijan University of Shahid Madani
2Department of Applied Mathematics, Azarbaijan Shahid Madani University, Tabriz,Iran
3Department of Operation Management and Business Statistics,College of Economics and Political Science, Sultan Qaboos University, Muscat, Oman.
چکیده
Industries are increasingly relying on analytical approaches for performance

evaluation and decision-making. Consequently, they must invest suitable resources

at the right time for the appropriate engagements. Inverse Data Envelopment

(InvDEA) is a post-DEA sensitivity analysis method designed to tackle resource allocation.

The primary objective of Inverse DEA is to determine the optimal input and/or

output levels for each decision-making unit under varying conditions to achieve a specified

efficiency target. Traditional inverse DEA models require precise data on the

inputs and outputs of Decision-Making Units (DMUs). However, in many scenarios,

such as system flexibility, social and cultural contexts information may be indeterminate.

In these cases, experts’ opinions are used to model uncertainty. Uncertainty

theory, a branch of mathematics, logically deals with degrees of belief. This paper aims

to develop an inverse DEA model incorporating uncertainty theory. We assume that

inputs and outputs of decision-making units are based on experts’ belief degrees. An

input-oriented model is developed, and several properties are proven. To demonstrate

the model is performance, we employ a case study involving CO2 emission data from

OPEC countries.
کلیدواژه‌ها
Inverse Data Envelopment Analysis؛ Uncertainty؛ Multi Objective Programming؛ Efficiency
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