EVERGREEN

Joint Journal of Novel Carbon Resource Sciences and Green Asia Strategy

ISSN:2189-0420 (Print until Mar 2020)
ISSN:2432-5953 (Online)

SCImago Journal & Country Rank

Open Access
Scopus
Google Scholar
Crossref
SCImago Journal & Country Rank
4.3
2024CiteScore
 
69th percentile
Powered by Scopus
Metrics by SCOPUS 2024
CiteScore
4.3
SJR
0.391
SNIP
1.192


Modification of the Complex Proportional Assessment Method: A New Methodology for Decision Support

Dyah Ayu Megawaty1, Heni Sulistiani1, Setiawansyah Setiawansyah1, Arie Qur’Ania2, Yuri Rahmanto1,*, Pritasari Palupiningsih3
1Faculty Engineering and Computer Science, Universitas Teknokrat Indonesia, Indonesia
2Faculty of Mathematics and Natural Sciences, Universitas Pakuan, Indonesia
3Faculty of Energy Telematics, Institut Teknologi Perusahaan Listrik Negara, Indonesia
*Author to whom correspondence should be addressed:
E-mail: yurirahmanto@teknokrat.ac.id (YR)
Received: December 20, 2024 | Revised: October 09, 2025 | Accepted: November 04, 2025 | Published: March 2026
Abstract
Complex Proportional Assessment (COPRAS) is one of the methods in MCDM that is used to evaluate and rank alternatives based on several criteria. One of its main drawbacks is its sensitivity to criterion weighting, as small changes in weighting can significantly affect the final ranking results of the evaluated alternatives. This makes the method susceptible to subjective errors in weighting, which can reduce the validity of the decisions taken. The aim of this paper is to propose improvements to the COPRAS method that are more accurate and flexible in supporting the decision-making process. COPRAS's proposed method uses a root mean square called COPRAS-R. We calculated the correlation between the alternative ratings using the COPRAS method and the weights calculated by the ROC, Rank Sum, and Entropy weighting methods which had a correlation value of 0.97 compared to the original ranking. The result of the calculation of the correlation value of the COPRAS-R method is 1 which means that the results of this method ranking are exactly the same as the alternative initial rankings.
Keywords
COPRAS; COPRAS-R; Improvement; RMS; Weighting
Available Repositories
Share Article
Article Metrics
--
Views
--
Downloads
--
Citations
Full Text
Download PDF
References
  1. 1) G. Yannis, A. Kopsacheili, A. Dragomanovits, and V. Petraki, "State-of-the-art review on multi-criteria decision-making in the transport sector," J. Traffic Transp. Eng. (English Ed., 7 (4) 413-431 (2020) doi:10.1016/j.jtte.2020.05.005
  2. 2) H. Taherdoost, and M. Madanchian, "Multi-criteria decision making (mcdm) methods and concepts," Encyclopedia, 3 (1) 77-87 (2023) doi:10.3390/encyclopedia3010006
  3. 3) G. Tian, W. Lu, X. Zhang, M. Zhan, M.A. Dulebenets, A. Aleksandrov, A.M. Fathollahi-Fard, and M. Ivanov, "A survey of multi-criteria decision-making techniques for green logistics and low-carbon transportation systems," Environ. Sci. Pollut. Res., 30 (20) 57279-57301 (2023) doi:10.1007/s11356-023-26577-2
  4. 4) S.K. Sahoo, and S.S. Goswami, "A comprehensive review of multiple criteria decision-making (mcdm) methods: advancements, applications, and future directions," Decis. Mak. Adv., 1 (1) 25-48 (2023) doi:10.31181/dma1120237
  5. 5) B. Kizielewicz, A. Shekhovtsov, and W. Sałabun, "Pymcdm—the universal library for solving multi-criteria decision-making problems," SoftwareX, 22 101368 (2023) doi:10.1016/j.softx.2023.101368
  6. 6) I.M. Hezam, A.R. Mishra, P. Rani, A. Saha, F. Smarandache, and D. Pamucar, "An integrated decision support framework using single-valued neutrosophic-maswip-copras for sustainability assessment of bioenergy production technologies," Expert Syst. Appl., 211 118674 (2023) doi:10.1016/j.eswa.2022.118674
  7. 7) M. Akram, S. Naz, F. Feng, and A. Shafiq, "Assessment of hydropower plants in pakistan: muirhead mean-based 2-tuple linguistic t-spherical fuzzy model combining swara with copras," Arab. J. Sci. Eng., 48 (5) 5859-5888 (2023) doi:10.1007/s13369-022-07081-0
  8. 8) A. Sahin, G. Imamoglu, M. Murat, and E. Ayyildiz, "A holistic decision-making approach to assessing service quality in higher education institutions," Socioecon. Plann. Sci., 92 101812 (2024) doi:10.1016/j.seps.2024.101812
  9. 9) S.I. Ali, S.M. Lalji, S. Hashmi, Z. Awan, A. Iqbal, E.A. Al-Ammar, and A. gull, "Risk quantification and ranking of oil fields and wells facing asphaltene deposition problem using fuzzy topsis coupled with ahp," Ain Shams Eng. J., 15 (1) 102289 (2024) doi:10.1016/j.asej.2023.102289
  10. 10) A.R. Mishra, M. Alrasheedi, J. Lakshmi, and P. Rani, "Multi-criteria decision analysis model using the q-rung orthopair fuzzy similarity measures and the copras method for electric vehicle charging station site selection," Granul. Comput., 9 (1) 23 (2024) doi:10.1007/s41066-023-00447-1
  11. 11) C.Z. Radulescu, and M. Radulescu, "A hybrid group multi-criteria approach based on SAW, TOPSIS, VIKOR, and COPRAS methods for complex iot selection problems," Electronics, 13 (4) 789 (2024) doi:10.3390/electronics13040789
  12. 12) R. Kumar, S. Kumar, Ü. Ağbulut, A.E. Gürel, M. Alwetaishi, S. Shaik, C.A. Saleel, and D. Lee, "Parametric optimization of an impingement jet solar air heater for active green heating in buildings using hybrid critic-copras approach," Int. J. Therm. Sci., 197 108760 (2024) doi:10.1016/j.ijthermalsci.2023.108760
  13. 13) B. Erdebilli, İ. Yilmaz, T. Aksoy, U. Hacıoglu, S. Yüksel, and H. Dinçer, "An interval-valued pythagorean fuzzy ahp and copras hybrid methods for the supplier selection problem," Int. J. Comput. Intell. Syst., 16 (1) 124 (2023) doi:10.1007/s44196-023-00297-4
  14. 14) S. Kusakci, M.K. Yilmaz, A.O. Kusakci, S. Sowe, and F.A. Nantembelele, "Towards sustainable cities: a sustainability assessment study for metropolitan cities in turkey via a hybridized it2f-ahp and copras approach," Sustain. Cities Soc., 78 103655 (2022) doi:10.1016/j.scs.2021.103655
  15. 15) D. Kang, R. Jaisankar, V. Murugesan, K. Suvitha, S. Narayanamoorthy, A.H. Omar, N.I. Arshad, and A. Ahmadian, "A novel mcdm approach to selecting a biodegradable dynamic plastic product: a probabilistic hesitant fuzzy set-based copras method," J. Environ. Manage., 340 117967 (2023) doi:10.1016/j.jenvman.2023.117967
  16. 16) A. Ozdagoglu, G. Zeynep Oztas, M. Kemal Keles, and V. Genc, "A comparative bus selection for intercity transportation with an integrated piprecia & copras-g," Case Stud. Transp. Policy, 10 (2) 993-1004 (2022) doi:10.1016/j.cstp.2022.03.012
  17. 17) S. Dhruva, R. Krishankumar, E.K. Zavadskas, K.S. Ravichandran, and A.H. Gandomi, "Selection of suitable cloud vendors for health centre: a personalized decision framework with fermatean fuzzy set, lopcow, and cocoso," Informatica, 35 (1) 65-98 (2024) doi:10.15388/23-INFOR537
  18. 18) M.O. Gökalp, K. Kayabay, E. Gökalp, A. Koçyiğit, and P.E. Eren, "Assessment of process capabilities in transition to a data‐driven organisation: a multidisciplinary approach," IET Softw., 15 (6) 376-390 (2021) doi:10.1049/sfw2.12033
  19. 19) B. Zhang, P. Niu, X. Guo, and J. He, "Fuzzy pid control of permanent magnet synchronous motor electric steering engine by improved beetle antennae search algorithm," Sci. Rep., 14 (1) 2898 (2024) doi:10.1038/s41598-024-52600-8
  20. 20) A. Aytekin, "DETERMINING criteria weights for vehicle tracking system selection using piprecia-s," J. Process Manag. New Technol., 10 (1-2) 115-124 (2022) doi:10.5937/jpmnt10-38145
  21. 21) D. Spoladore, M. Tosi, and E.C. Lorenzini, "Ontology-based decision support systems for diabetes nutrition therapy: a systematic literature review," Artif. Intell. Med., 102859 (2024)
  22. 22) M. Fernandes, S.M. Vieira, F. Leite, C. Palos, S. Finkelstein, and J.M.C. Sousa, "Clinical decision support systems for triage in the emergency department using intelligent systems: a review," Artif. Intell. Med., 102 101762 (2020) doi:10.1016/j.artmed.2019.101762
  23. 23) Y. Yun, D. Ma, and M. Yang, "Human–computer interaction-based decision support system with applications in data mining," Futur. Gener. Comput. Syst., 114 285-289 (2021) doi:10.1016/j.future.2020.07.048
  24. 24) P. William, O.J. Oyebode, A. Sharma, N. Garg, A. Shrivastava, and A. Rao, "Integrated decision support system for flood disaster management with sustainable implementation," IOP Conf. Ser. Earth Environ. Sci., 1285 (1) 012015 (2024) doi:10.1088/1755-1315/1285/1/012015
  25. 25) C. Meske, and E. Bunde, "Design principles for user interfaces in ai-based decision support systems: the case of explainable hate speech detection," Inf. Syst. Front., 25 (2) 743-773 (2023)
  26. 26) H. Sulistiani, S. Setiawansyah, A.F.O. Pasaribu, P. Palupiningsih, K. Anwar, and V.H. Saputra, "New topsis: modification of the topsis method for objective determination of weighting," Int. J. Intell. Eng. Syst., 17 (5) 991-1003 (2024) doi:10.22266/ijies2024.1031.74
  27. 27) H. Sulistiani, Setiawansyah, P. Palupiningsih, F. Hamidy, P.L. Sari, and Y. Khairunnisa, "Employee Performance Evaluation Using Multi-Attribute Utility Theory (MAUT) with PIPRECIA-S Weighting: A Case Study in Education Institution," in: 2023 Int. Conf. Informatics, Multimedia, Cyber Informations Syst., 2023: pp. 369-373 doi:10.1109/ICIMCIS60089.2023.10349017
  28. 28) Setiawansyah, A.A. Aldino, P. Palupiningsih, G.F. Laxmi, E.D. Mega, and I. Septiana, "Determining Best Graduates Using TOPSIS with Surrogate Weighting Procedures Approach," in: 2023 Int. Conf. Networking, Electr. Eng. Comput. Sci. Technol., 2023: pp. 60-64 doi:10.1109/IConNECT56593.2023.10327119
  29. 29) K. Gao, T. Liu, Y. Rong, V. Simic, H. Garg, and T. Senapati, "A novel bwm-entropy-copras group decision framework with spherical fuzzy information for digital supply chain partner selection," Complex Intell. Syst., 10 (5) 6983-7008 (2024) doi:10.1007/s40747-024-01500-5
  30. 30) V. Modanloo, M. Elyasi, and A. Safi Jahanshahi, "Selection of the optimal perforated structure in the axial loading of aluminum thin-walled tubes using multi-criteria decision-making: copras method," J. Solid Fluid Mech., 14 (1) 139-145 (2024) doi:10.22044/jsfm.2024.13968.3819
  31. 31) P. Liu, and J. Shen, "GHF-copras multiple attribute decision-making method based on cumulative prospect theory and its application to enterprise digital asset valuation," Axioms, 13 (5) (2024) doi:10.3390/axioms13050297
  32. 32) X. Zhang, X. Liu, H. Zheng, W. Lin, R. Wada, J. Han, C. Ma, C. Qiao, D. Peng, Y. Huang, Q. Leng, G. Qu, P. Ren, and Z. Yang, "A novel bayesian neural network approach for nuclear root-mean-square charge radii," IEEE Trans. Nucl. Sci., 1-1 (2024) doi:10.1109/TNS.2024.3451400
  33. 33) Y. Liu, J. Šimůnek, and R. Liao, "An integrated approach to obtain high-precision regional root water uptake maps," J. Hydrol., 641 131771 (2024)
  34. 34) K. Yu, Q. Bao, H. Xu, G. Cao, and S. Xia, "An Extreme Learning Machine Stock Price Prediction Algorithm Based on the Optimisation of the Crown Porcupine Optimisation Algorithm with an Adaptive Bandwidth Kernel Function Density Estimation Algorithm," in: Proc. Int. Conf. Digit. Econ. Blockchain Artif. Intell., Association for Computing Machinery, New York, NY, USA, 2024: pp. 116-121 doi:10.1145/3700058.3700077
  35. 35) M. Kaddeche, S. Boucherit, S. Belhadi, and M.A. Yallesse, "Comparative study of turning two engineering plastics (pom-c and pa-6) and optimisation using ga, sa, gra and copras with and without weighting (entropie, critic, swara, roc)," (2023) doi:10.21203/rs.3.rs-2803990/v1
Other Papers in This Issue