Data envelopment analysis (DEA) model has been widely applied for estimating efficiency scores of decision making units (DMUs) and is especially used in many applications in transportation. In this paper, a novel common weight credibility DEA (CWCDEA) model is proposed to evaluate DMUs considering uncertain inputs and outputs. To develop a credibility DEA model, a credibility counterpart constraint is suggested for each constraint of DEA model. Then, the weights generated by the credibility DEA (CDEA) model are considered as ideal solution in a multi-objective DEA model. To solve the multi-objective DEA model, a goal programming model is proposed. The goal programming model minimized deviations from the ideal solutions and found the common weights of inputs and outputs. Using the common weights generated by goal programming model, the final efficiency scores for decision making are calculated. The usefulness and applicability of the proposed approach have been shown using a data set in the airline industry.
Accepté le :
Première publication :
Publié le :
DOI : 10.1051/ro/2022031
Keywords: DEA, credibility theory, common weight, efficiency, airline
@article{RO_2022__56_2_911_0,
author = {Omrani, Hashem and Fahimi, Pegah and Emrouznejad, Ali},
title = {A common weight credibility data envelopment analysis model for evaluating decision making units with an application in airline performance},
journal = {RAIRO. Operations Research},
pages = {911--930},
year = {2022},
publisher = {EDP-Sciences},
volume = {56},
number = {2},
doi = {10.1051/ro/2022031},
mrnumber = {4407579},
zbl = {1487.90384},
language = {en},
url = {https://www.numdam.org/articles/10.1051/ro/2022031/}
}
TY - JOUR AU - Omrani, Hashem AU - Fahimi, Pegah AU - Emrouznejad, Ali TI - A common weight credibility data envelopment analysis model for evaluating decision making units with an application in airline performance JO - RAIRO. Operations Research PY - 2022 SP - 911 EP - 930 VL - 56 IS - 2 PB - EDP-Sciences UR - https://www.numdam.org/articles/10.1051/ro/2022031/ DO - 10.1051/ro/2022031 LA - en ID - RO_2022__56_2_911_0 ER -
%0 Journal Article %A Omrani, Hashem %A Fahimi, Pegah %A Emrouznejad, Ali %T A common weight credibility data envelopment analysis model for evaluating decision making units with an application in airline performance %J RAIRO. Operations Research %D 2022 %P 911-930 %V 56 %N 2 %I EDP-Sciences %U https://www.numdam.org/articles/10.1051/ro/2022031/ %R 10.1051/ro/2022031 %G en %F RO_2022__56_2_911_0
Omrani, Hashem; Fahimi, Pegah; Emrouznejad, Ali. A common weight credibility data envelopment analysis model for evaluating decision making units with an application in airline performance. RAIRO. Operations Research, Tome 56 (2022) no. 2, pp. 911-930. doi: 10.1051/ro/2022031
[1] , and , A review of DEA approaches applying a common set of weights: the perspective of centralized management. Eur. J. Oper. Res. 294 (2021) 3–15. | MR | Zbl | DOI
[2] , , and , A common-weight DEA model for multi-criteria ABC inventory classification with quantitative and qualitative criteria. RAIRO-Oper. Res. 53 (2019) 1775–1789. | MR | Zbl | Numdam | DOI
[3] , and , A fuzzy DEA slacks-based approach. J. Comput. Appl. Math. 404 (2022) 113180. | MR | Zbl | DOI
[4] , and , Modeling fuzzy data envelopment analysis under robust input and output data. RAIRO-Oper. Res. 52 (2018) 619–643. | MR | Zbl | Numdam | DOI
[5] , and , Airlines performance in the new market context: a comparative productivity and efficiency analysis. J. Air Transp. Manage. 14 (2008) 270–274. | DOI
[6] and , A multi-objective DEA approach to ranking alternatives. Expert Syst. App. 50 (2016) 130–139. | DOI
[7] , , and , Evaluating economic and environmental efficiency of global airlines: a SBM-DEA approach. Transp. Res. Part D: Transp. Environ. 27 (2014) 46–50. | DOI
[8] , and , Measuring the efficiency of decision making units. Eur. J. Oper. Res. 2 (1978) 429–444. | MR | Zbl | DOI
[9] , , and , A new DEA common-weight multi-criteria decision-making approach for technology selection. Int. J. Prod. Res. 58 (2020) 3686–3700. | DOI
[10] , and , A bargaining approach to determine common weights in DEA. Oper. Res. 21 (2019) 2181–2201.
[11] and , A theory of ambiguity, credibility, and inflation under discretion and asymmetric information. Econ. J. Econ. Soc. 54 (1986) 1099–1128.
[12] and , Possibility Theory: An Approach to Computerized Processing of Uncertainty, Plenum, New York (1988). | MR | Zbl
[13] , , , and , Common weights in dynamic network DEA with goal programming approach for performance assessment of insurance companies in Iran. Manage. Res. Rev. 41 (2018) 920–938. | DOI
[14] , , , and , A credibilistic fuzzy DEA approach for portfolio efficiency evaluation and rebalancing toward benchmark portfolios using positive and negative returns. Int. J. Fuzzy Syst. 22 (2020) 824–843. | DOI
[15] and , Efficiency assessment and output maximization possibilities of European small and medium sized airports. Res. Transp. Econ. 56 (2016) 3–14. | DOI
[16] and , Efficiency evaluation in two-stage data envelopment analysis under a fuzzy environment: a common-weights approach. Appl. Soft Comput. 72 (2018) 156–165. | DOI
[17] , , , and , A common-weights DEA model for centralized resource reduction and target setting. Comput. Ind. Eng. 79 (2015) 195–203. | DOI
[18] , and , A fully fuzzy network DEA-Range Adjusted Measure model for evaluating airlines efficiency: a case of Iran. J. Air Transp. Manage. 89 (2020) 101923. | DOI
[19] and , Energy management in crop production using a novel fuzzy data envelopment analysis model. RAIRO-Oper. Res. 52 (2018) 595–617. | MR | Zbl | Numdam | DOI
[20] , , , and , Ranking of units by positive ideal DMU with common weights. Expert Syst. App. 37 (2010) 7483–7488. | DOI
[21] and , A DEA study of airlines in India. Asia Pac. Manage. Rev. 20 (2015) 285–292.
[22] and , Data envelopment analysis with common weights: the compromise solution approach. J. Oper. Res. Soc. 56 (2005) 1196–1203. | Zbl | DOI
[23] , , and , A common weights model for investigating efficiency-based leadership in the russian banking industry. RAIRO-Oper. Res. 55 (2021) 213–229. | MR | Numdam | DOI
[24] and , A sufficient and necessary condition for credibility measures. Int. J. Uncertainty. Fuzziness Knowl. Based Syst. 14 (2006) 527–535. | MR | Zbl | DOI
[25] , Uncertainty Theory: An Introduction to its Axiomatic Foundations, Springer-Verlag, Berlin (2004). | MR | Zbl | DOI
[26] , A survey of credibility theory. Fuzzy Optim. Decis. Making 5 (2006) 387–408. | MR | Zbl | DOI
[27] and , Expected value of fuzzy variable and fuzzy expected value models. IEEE Trans. Fuzzy Syst. 10 (2002) 445–450. | DOI
[28] and , Fuzzy random variables: a scalar expected value operator. Fuzzy Optim. Decis. Making 2 (2003) 143–160. | MR | Zbl | DOI
[29] and , A slacks-based network DEA efficiency analysis of European airlines. Transp. Planning Technol. 37 (2014) 623–637. | DOI
[30] , , and , The effects of corporate governance on airline performance: production and marketing efficiency perspectives. Transp. Res. Part E: Logistics Transp. Rev. 48 (2012) 529–544. | DOI
[31] and , A credibility approach on fuzzy slacks based measure (SBM) DEA model. Iran. J. Fuzzy Syst. Preprint. Preprint: (2021). | arXiv | MR | Zbl
[32] , , and , The origins, development and future directions of Data Envelopment Analysis approach in transportation systems. Soc. Econ. Planning Sci. 69 (2020) 100762.
[33] , and , Joint analysis of eco-efficiency and eco-innovation with common weights in two-stage network DEA: a big data approach. Technol. Forecasting Soc. Change 144 (2019) 553–562. | DOI
[34] and , The impact of strategic management and fleet planning on airline efficiency: a random effects Tobit model based on DEA efficiency scores. Transp. Res. Part A Policy Pract. 45 (2011) 686–695. | DOI
[35] , , and , A dynamic network efficiency measurement of airports performance considering sustainable development concept: a fuzzy dynamic network-DEA approach. J. Air Transp. Manage. 57 (2016) 272–290. | DOI
[36] , Common weights data envelopment analysis with uncertain data: a robust optimization approach. Comput. Ind. Eng. 66 (2013) 1163–1170. | DOI
[37] and , Dynamic DEA models with network structure: an application for Iranian airlines. J. Air Transp. Manage. 57 (2016) 52–61. | DOI
[38] , and , Incorporating decision makers’ preferences into DEA and common weight DEA models based on the best–worst method (BWM). Soft Comput. 24 (2020) 3989–4002. | DOI
[39] , , and , Data envelopment analysis model with decision makers’ preferences: a robust credibility approach. To appear in: Ann. Oper. Res. (2021) 1–38. DOI: . | DOI | MR | Zbl
[40] , , and , A robust credibility DEA model with fuzzy perturbation degree: an application to hospitals performance. Expert Syst. App. 189 (2022) 116021. | DOI
[41] , and , Optimization of an evacuation plan with uncertain demands using fuzzy credibility theory and genetic algorithm. Int. J. Disaster Risk Reduction 14 (2015) 357–372. | DOI
[42] , and , A new multi-component DEA approach using common set of weights methodology and imprecise data: an application to public sector banks in India with undesirable and shared resources. Ann. Oper. Res. 259 (2017) 351–388. | MR | Zbl | DOI
[43] , and , Controlling factor weights in data envelopment analysis. IIE Trans. 23 (1991) 2–9. | DOI
[44] and , A bootstrapped robust data envelopment analysis model for efficiency estimating of telecommunication companies in Iran. Telecommun. Policy 34 (2010) 221–232. | Zbl | DOI
[45] and , Total factor productivity analysis of Malaysia Airlines: lessons from the past and directions for the future. Res. Transp. Econ. 56 (2016) 42–49. | DOI
[46] and , Dynamic network data envelopment analysis model with fuzzy inputs and outputs: an application for Iranian Airlines. Appl. Soft Comput. 63 (2018) 268–288. | DOI
[47] , and , Performance ranking of units considering ideal and anti-ideal DMU with common weights. Appl. Math. Modell. 37 (2013) 6301–6310. | MR | Zbl | DOI
[48] , and , Efficiency and effectiveness in airline performance using a SBM-NDEA model in the presence of shared input. J. Air Transp. Manage. 34 (2014) 146–153. | DOI
[49] , and , Developing a new super-efficiency DEA model in the presence of both zero data and stochastic data: a case study in the Iranian airline industry. Benchmarking Int. J. 28 (2020) 42–65. | DOI
[50] , Alternative minimax model for finding the most efficient unit in data envelopment analysis. Comput. Ind. Eng. 81 (2015) 186–194. | DOI
[51] and , A powerful discriminative approach for selecting the most efficient unit in DEA. Comput. Ind. Eng. 115 (2018) 269–277. | DOI
[52] , and , A non-radial directional distance method on classifying inputs and outputs in DEA: application to banking industry. Expert Syst. App. 92 (2018) 495–506. | DOI
[53] , and , A novel weighting method for finding common weights in DEA. Asia-Pac. J. Oper. Res. 34 (2017) 1750027. | MR | Zbl | DOI
[54] and , Efficiency in Latin American airlines: a two-stage approach combining Virtual Frontier Dynamic DEA and Simplex Regression. J. Air Transp. Manage. 54 (2016) 93–103. | DOI
[55] , and , Assessing productive efficiency in Nigerian airports using Fuzzy-DEA. Transp. Policy 49 (2016) 9–19. | DOI
[56] , and , Assessing productive efficiency of banks using integrated Fuzzy-DEA and bootstrapping: a case of Mozambican banks. Eur. J. Oper. Res. 249 (2016) 378–389. | Zbl | DOI
[57] , and , A novel group decision-making method by P-robust fuzzy DEA credibility constraint for welding process selection. Cogent Eng. 7 (2020) 1728057. | DOI
[58] , , , and , A comparative study of airline efficiency in China and India: a dynamic network DEA approach. Res. Transp. Econ. 76 (2019) 100746. | DOI
[59] , , , , and , A full fuzzy-interval credibility-constrained nonlinear programming approach for irrigation water allocation under uncertainty. Agric. Water Manage. 230 (2020) 105961. | DOI
[60] , Fuzzy sets. Inf. Control 8 (1965) 338–353. | MR | Zbl | DOI
[61] , Possibility theory and its application to information analysis. In: Proc. Int. Colloq. Inf. Theory (CNRS) (1978) 173–182. | Zbl
[62] , Airlines performance via two-stage network DEA approach. J. CENTRUM Cathedra Bus. Econ. Res. J. 4 (2011) 260–269. | DOI
[63] , Fuzzy Sets Theory and its Applications, 4th edition. Kluwer Academic Publishers, Dordrecht, The Netherlands (2001). | MR | DOI
[64] , and , A compromise solution approach for finding common weights in DEA: an improvement to Kao and Hung’s approach. J. Oper. Res. Soc. 61 (2010) 604–610. | Zbl | DOI
Cité par Sources :





