SOWA Method Framework: New Algorithm for Criteria Weight Balancing with a Hybrid Subjective and Objective Approach

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Author(s)

Sumanto 1 Aditya Lapu Kalua 2 Fintri Indriyani 1 Rakhmadi Irfansyah Putra 3 Ayuni Asistyasari 1 Adhie Thyo Priandika 4,*

1. Department of Informatics, Universitas Bina Sarana Informatika, Jakarta 11730, Indonesia

2. Department of Information System, Universitas Sam Ratulangi, Manado 95115, Indonesia

3. Department of Information System, Institut Teknologi Perusahaan Listrik Negara, Tanggerang 11750, Indonesia

4. Department of Informatics, Universitas Teknokrat Indonesia, Bandar Lampung, 35141, Indonesia

* Corresponding author.

DOI: https://doi.org/10.5815/ijieeb.2026.03.05

Received: 5 Jun. 2025 / Revised: 13 Aug. 2025 / Accepted: 2 Jan. 2026 / Published: 8 Jun. 2026

Index Terms

MCDM, New Approach, Objective, SOWA Method, Subjective

Abstract

This research proposes the implementation of the subjective and objective weighting approach (SOWA) method as a new approach in determining the criteria weights that combines subjective assessments from experts and data-driven objective calculations. The criteria weights generated from the SOWA method are then used in various multi-criteria decision-making (MCDM) methods, such as simple additive weighting (SAW), technique for order preference by similarity to ideal solution (TOPSIS), multi-objective optimization on the basis of ratio analysis (MOORA), grey relational analysis (GRA), multi-attribute utility theory (MAUT), weighted aggregated sum product assessment (WASPAS), weighted product (WP), simple multi-attribute rating technique (SMART), multi-attributive border approximation area comparison (MABAC), and Multi-Attribute Ideal-Real Comparative Analysis (MAIRCA), to evaluate and rank alternatives. The research results show that the SOWA method is capable of producing balanced and representative weights, as well as consistent alternative rankings across MCDM methods. Sensitivity analysis of the ranking results indicates that all methods yield identical ranking results, signifying a high level of stability and reliability of the generated weights. These findings demonstrate that the SOWA method can serve as a solid foundation in decision support systems, particularly in the context of candidate selection or evaluation based on multiple criteria.

Cite This Paper

Sumanto, Aditya Lapu Kalua, Fintri Indriyani, Rakhmadi Irfansyah Putra, Ayuni Asistyasari, Adhie Thyo Priandika, "SOWA Method Framework: New Algorithm for Criteria Weight Balancing with a Hybrid Subjective and Objective Approach", International Journal of Information Engineering and Electronic Business(IJIEEB), Vol.18, No.3, pp. 71-86, 2026. DOI:10.5815/ijieeb.2026.03.05

Reference

[1]T. Van Dua and D. D. Trung, “MEPSI (Mutriss Enhanced Preference Selection Index): a novel method for ranking alternatives,” EUREKA Phys. Eng., vol. 2024, no. 6 SE-Mathematics, pp. 169–178, Nov. 2024, doi: 10.21303/2461-4262.2024.003408.
[2]M. Krstić, G. P. Agnusdei, P. P. Miglietta, S. Tadić, and V. Roso, “Applicability of Industry 4.0 Technologies in the Reverse Logistics: A Circular Economy Approach Based on COmprehensive Distance Based RAnking (COBRA) Method,” Sustainability, vol. 14, no. 9. 2022. doi: 10.3390/su14095632.
[3]H. Ayadi, N. Hamani, L. Kermad, and M. Benaissa, “Novel Fuzzy Composite Indicators for Locating a Logistics Platform under Sustainability Perspectives,” Sustainability, vol. 13, no. 7, p. 3891, Apr. 2021, doi: 10.3390/su13073891.
[4]K. Zorlu, M. Tuncer, and A. Yılmaz, “Assessment of Resources for Geotourism Development: Integrated SWARA-COBRA Approach Under Spherical Fuzzy Environments,” Geoheritage, vol. 16, no. 3, p. 89, 2024, doi: 10.1007/s12371-024-00993-3.
[5]J. Barman, B. Biswas, and K. S. Rao, “A hybrid integration of analytical hierarchy process (AHP) and the multiobjective optimization on the basis of ratio analysis (MOORA) for landslide susceptibility zonation of Aizawl, India,” Nat. Hazards, vol. 120, no. 9, pp. 8571–8596, 2024, doi: 10.1007/s11069-024-06538-9.
[6]F. Sevim and E. U. Aldogan, “Evaluation of Health Systems Performance of OECD Countries Using MOORA Method,” J. Health Manag., vol. 26, no. 1, pp. 172–183, Jan. 2024, doi: 10.1177/09720634231215131.
[7]D. Kang et al., “A novel MCDM approach to selecting a biodegradable dynamic plastic product: a probabilistic hesitant fuzzy set-based COPRAS method,” J. Environ. Manage., vol. 340, p. 117967, Aug. 2023, doi: 10.1016/j.jenvman.2023.117967.
[8]T. Van Dua, D. Van Duc, N. C. Bao, and D. D. Trung, “Integration of objective weighting methods for criteria and MCDM methods: application in material selection,” EUREKA Phys. Eng., no. 2, pp. 131–148, Mar. 2024, doi: 10.21303/2461-4262.2024.003171.
[9]S. Bošković, L. Švadlenka, M. Dobrodolac, S. Jovčić, and M. Zanne, “An Extended AROMAN Method for Cargo Bike Delivery Concept Selection,” Decis. Mak. Adv., vol. 1, no. 1, pp. 1–9, Jun. 2023, doi: 10.31181/v120231.
[10]N. Chen, Q. Liu, Ž. Stević, M. Andrejić, and V. Pajić, “An integrated cost based approach for warehouse performance evaluation: A new multiphase model,” Alexandria Eng. J., vol. 101, pp. 62–77, 2024, doi: https://doi.org/10.1016/j.aej.2024.05.063.
[11]A. Puška, A. Štilić, and I. Stojanović, “Approach for multi-criteria ranking of Balkan countries based on the index of economic freedom,” J. Decis. Anal. Intell. Comput., vol. 3, no. 1, pp. 1–14, Dec. 2023, doi: 10.31181/jdaic10017022023p.
[12]N.-T. Tran, “Application of the multi-criteria analysis method mairca, spotis, comet for the optimisation of sustainable electricity technology development,” EUREKA Phys. Eng., no. 1 SE-Mathematics, pp. 180–188, Jan. 2024, doi: 10.21303/2461-4262.2024.003133.
[13]R. R. Oprasto, J. Wang, A. F. O. Pasaribu, S. Setiawansyah, R. Aryanti, and Sumanto, “An Entropy-Assisted COBRA Framework to Support Complex Bounded Rationality in Employee Recruitment,” Bull. Comput. Sci. Res., vol. 5, no. 3 SE-, pp. 207–218, Apr. 2025, doi: 10.47065/bulletincsr.v5i3.505.
[14]H. Lu, Y. Zhao, X. Zhou, and Z. Wei, “Selection of Agricultural Machinery Based on Improved CRITIC-Entropy Weight and GRA-TOPSIS Method,” Processes, vol. 10, no. 2, p. 266, Jan. 2022, doi: 10.3390/pr10020266.
[15]Y. I. Kurniawan, E. Soviana, and I. Yuliana, “Merging Pearson Correlation and TAN-ELR algorithm in recommender system,” in AIP Conference Proceedings, 2018, vol. 1977. doi: 10.1063/1.5042998.
[16]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., vol. 48, no. 5, pp. 5859–5888, 2023, doi: 10.1007/s13369-022-07081-0.
[17]A. R. Mishra, D. K. Tripathi, F. Cavallaro, P. Rani, S. K. Nigam, and A. Mardani, “Assessment of Battery Energy Storage Systems Using the Intuitionistic Fuzzy Removal Effects of Criteria and the Measurement of Alternatives and Ranking Based on Compromise Solution Method,” Energies, vol. 15, no. 20, p. 7782, Oct. 2022, doi: 10.3390/en15207782.
[18]K. Wang, B. Li, T. Tian, N. Zakuan, and P. Rani, “Evaluate the drivers for digital transformation in higher education institutions in the era of industry 4.0 based on decision-making method,” J. Innov. Knowl., vol. 8, no. 3, p. 100364, 2023, doi:https://doi.org/10.1016/j.jik.2023.100364.
[19]D. D. Trung, N. T. P. Giang, D. Van Duc, T. Van Dua, and H. X. Thinh, “The Use of SAW, RAM and PIV Decision Methods in Determining the Optimal Choice of Materials for the Manufacture of Screw Gearbox Acceleration Boxes,” Int. J. Mech. Eng. Robot. Res., vol. 13, no. 3, pp. 338–347, 2024, doi: 10.18178/ijmerr.13.3.338-347.
[20]S. Setiawansyah, S. H. Hadad, A. A. Aldino, P. Palupiningsih, G. Fitri Laxmi, and D. A. Megawaty, “Employing PIPRECIA-S weighting with MABAC: a strategy for identifying organizational leadership elections,” Bull. Electr. Eng. Informatics, vol. 13, no. 6, pp. 4273–4284, Dec. 2024, doi: 10.11591/eei.v13i6.7713.
[21]M. Keshavarz-Ghorabaee, M. Amiri, E. K. Zavadskas, Z. Turskis, and J. Antucheviciene, “Determination of Objective Weights Using a New Method Based on the Removal Effects of Criteria (MEREC),” Symmetry (Basel)., vol. 13, no. 4, p. 525, Mar. 2021, doi: 10.3390/sym13040525.
[22]Y. Shi, Q. Peng, and J. Zhang, “An objective weighting method of function requirements for product design using information entropy,” Comput. Aided. Des. Appl., vol. 17, no. 5, pp. 966–978, 2020, doi: 10.14733/cadaps.2020.966-978.
[23]M. Suresh and I. S. Sam, “Exponential fractional cat swarm optimization for video steganography,” Multimed. Tools Appl., vol. 80, no. 9, pp. 13253–13270, 2021, doi: 10.1007/s11042-020-10395-6.
[24]Ž. Stević, D. K. Das, R. Tešić, M. Vidas, and D. Vojinović, “Objective Criticism and Negative Conclusions on Using the Fuzzy SWARA Method in Multi-Criteria Decision Making,” Mathematics, vol. 10, no. 4. 2022. doi: 10.3390/math10040635.
[25]N. Hendrastuty, S. Setiawansyah, M. G. An’ars, F. A. Rahmadianti, V. H. Saputra, and M. Rahman, “G2M weighting: a new approach based on multi-objective assessment data (case study of MOORA method in determining supplier performance evaluation),” Indones. J. Electr. Eng. Comput. Sci., vol. 38, no. 1, pp. 403–416, 2025, doi: 10.11591/ijeecs.v38.i1.pp403-416.
[26]A. Ulutaş, F. Balo, and A. Topal, “Identifying the Most Efficient Natural Fibre for Common Commercial Building Insulation Materials with an Integrated PSI, MEREC, LOPCOW and MCRAT Model,” Polymers (Basel)., vol. 15, no. 6, p. 1500, Mar. 2023, doi: 10.3390/polym15061500.
[27]A. Alamoodi et al., “Evaluating agriculture 4.0 decision support systems based on hyperbolic fuzzy-weighted zero-inconsistency combined with combinative distance-based assessment,” Comput. Electron. Agric., vol. 227, p. 109618, 2024, doi: https://doi.org/10.1016/j.compag.2024.109618.
[28]S. Biswas, D. Pamucar, S. Dawn, and V. Simic, “Evaluation based on Relative Utility and Nonlinear Standardization (ERUNS) Method for Comparing Firm Performance in Energy Sector,” Decis. Mak. Adv., vol. 2, no. 1 SE-Articles, pp. 1–21, Jan. 2024, doi: 10.31181/dma21202419.
[29]A. H. Alamoodi, M. S. Al-Samarraay, O. S. Albahri, M. Deveci, A. S. Albahri, and S. Yussof, “Evaluation of energy economic optimization models using multi-criteria decision-making approach,” Expert Syst. Appl., vol. 255, p. 124842, 2024, doi: https://doi.org/10.1016/j.eswa.2024.124842.
[30]K. Kara, G. Cihan Yalçın, V. Simic, A. Tuğrul Yıldırım, D. Pamucar, and P. Siarry, “A spherical fuzzy-based DIBR II-AROMAN model for sustainability performance benchmarking of wind energy power plants,” Expert Syst. Appl., vol. 253, p. 124300, 2024, doi: https://doi.org/10.1016/j.eswa.2024.124300.
[31]A. M. Barasin, A. Y. Alqahtani, and A. A. Makki, “Performance Evaluation of Retail Warehouses: A Combined MCDM Approach Using G-BWM and RATMI,” Logistics, vol. 8, no. 1, p. 10, Jan. 2024, doi: 10.3390/logistics8010010.
[32]R. I. Putra, R. Aryanti, M. F. Prathama, A. Dahroni, and B. Prayitno, Optimalisasi Multi Attribute Decision Making Dengan Pendekatan CRITIC. Bandar Lampung: PT. SNN Media, 2025.
[33]D. A. Megawaty, D. Damayanti, S. Sumanto, P. Permata, D. Setiawan, and S. Setiawansyah, “Development of a Decision Support System Based on New Approach Respond to Criteria Weighting Method and Grey Relational Analysis: Case Study of Employee Recruitment Selection,” JOIV Int. J. Informatics Vis., vol. 9, no. 1, 2025, doi: 10.62527/joiv.9.1.2744.
[34]A. D. Putra, A. T. Priandika, D. Alita, C. Mario, A. D. Wahyudi, and Setiawansyah, “Implementations of the Entropy and Complex Proportional Assessment Methods in Determining the Best Independent Student Exchange,” in 2024 International Conference on Informatics, Multimedia, Cyber and Information System (ICIMCIS), 2024, pp. 247–252. doi: 10.1109/ICIMCIS63449.2024.10957397.
[35]D. A. Megaraty, H. Sulistiani, Setiawansyah, A. Qurania, Y. Yadin, and R. Oktaviani, “Integration Method Based on the Removal Effects of Criteria Weighting and MOORA Method: Wi-Fi Router Selection Case Study,” in 2024 International Conference on Informatics, Multimedia, Cyber and Information System (ICIMCIS), 2024, pp. 241–246. doi: 10.1109/ICIMCIS63449.2024.10956545.
[36]S. S. Yildiz, “Spatial multi-criteria decision making approach for wind farm site selection: A case study in Balıkesir, Turkey,” Renew. Sustain. Energy Rev., vol. 192, p. 114158, 2024, doi: https://doi.org/10.1016/j.rser.2023.114158.
[37]M. S. Saidin, L. S. Lee, S. M. Marjugi, M. Z. Ahmad, and H.-V. Seow, “Fuzzy Method Based on the Removal Effects of Criteria (MEREC) for Determining Objective Weights in Multi-Criteria Decision-Making Problems,” Mathematics, vol. 11, no. 6, p. 1544, Mar. 2023, doi: 10.3390/math11061544.
[38]A. Aytekin, “DETERMINING CRITERIA WEIGHTS FOR VEHICLE TRACKING SYSTEM SELECTION USING PIPRECIA-S,” J. Process Manag. new Technol., vol. 10, no. 1–2, pp. 115–124, Jun. 2022, doi: 10.5937/jpmnt10-38145.
[39]M. Vladimir, Stajić Ljubiša, Mitrović Goran, Novarlić Boris, and Radojičić Zoran, “A Novel Integrated Subjective-Objective MCDM Model for Alternative Ranking in Order to Achieve Business Excellence and Sustainability,” Symmetry (Basel)., vol. 12, no. 1, p. 164, Jan. 2020, doi: 10.3390/sym12010164.
[40]A. Blagojević, Ž. Stević, D. Marinković, S. Kasalica, and S. Rajilić, “A Novel Entropy-Fuzzy PIPRECIA-DEA Model for Safety Evaluation of Railway Traffic,” Symmetry (Basel)., vol. 12, no. 9, p. 1479, Sep. 2020, doi: 10.3390/sym12091479.
[41]Y. Rahmanto, J. Wang, S. Setiawansyah, A. Yudhistira, D. Darwis, and R. R. Suryono, “Optimizing Employee Admission Selection Using G2M Weighting and MOORA Method,” Paradig. - J. Komput. dan Inform., vol. 27, no. 1 SE-, pp. 1–10, Mar. 2025, doi: 10.31294/p.v27i1.8224.