REFORMULATION OF MULTI-ATTRIBUTE UTILITY THEORY NORMALIZATION TO HANDLE ASYMMETRIC DATA IN MADM
DOI:
https://doi.org/10.33480/jitk.v11i2.7273Kata Kunci:
Asymmetric Data, Decision Making, MADM, MAUT, Normalization ReformulationAbstrak
Multi-Attribute Utility Theory (MAUT) is a widely used multi-attribute decision-making (MADM) method due to its ability to integrate multiple criteria into a single utility value. However, conventional MAUT faces limitations when handling asymmetric data, where standard normalization processes often lead to value distortion and less representative rankings. This study aims to reformulate the normalization function in MAUT to improve adaptability to non-symmetric data distributions and to enhance ranking validity in decision-making. A modification approach called MAUT-A was developed by applying an adaptive normalization mechanism capable of accommodating extreme distributions and outliers by adding Z-score normalization. The performance of MAUT-A was evaluated by comparing the correlation of its ranking results with reference rankings, and the outcomes were benchmarked against conventional MAUT. The experimental findings indicate that conventional MAUT achieved a correlation value of 0.9688 with the reference ranking, while the proposed MAUT-A method achieved a higher correlation of 0.9792. This improvement represents that MAUT-A has better suitability, stability, and reliability in managing asymmetric data. The study contributes by offering a reformulated MAUT framework through adaptive normalization, providing more accurate, stable, and fair ranking outcomes. This approach enhances the validity of MADM applications, particularly in contexts involving asymmetric data distributions
Unduhan
Referensi
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.
J. Feng, Y. Yan, M. Huang, Y. Du, Z. Lu, and B. Li, “A Study on The Multi-Attribute Decision Theory and Methods,” Procedia Comput. Sci., vol. 214, pp. 544–551, 2022, doi: https://doi.org/10.1016/j.procs.2022.11.210.
C. Zhao, H. Hou, and H. Yan, “Intuitionistic Linguistic EDAS Method with New Score Function: Case Study on Evaluating Universities’ Innovation and Entrepreneurship Education,” Systems, vol. 12, no. 9. 2024. doi: 10.3390/systems12090368.
F. Xu, “A 2TLNS-based exponential TODIM-EDAS approach for evaluating sustainable development of cross-border e-commerce platforms under uncertainty,” J. Intell. Fuzzy Syst., vol. 46, pp. 6383–6398, 2024, doi: 10.3233/JIFS-237170.
M. H. Sadeghiravesh, H. Khosravi, and A. Abolhasani, “Selecting proper sites for underground dam construction using Multi-Attribute Utility Theory in arid and semi-arid regions,” J. Mt. Sci., vol. 20, no. 1, pp. 197–208, 2023.
V. R. Campos and D. J. S. Moreira, “Risk assessment with multi-attribute utility theory for building projects,” J. Build. Pathol. Rehabil., vol. 7, no. 1, p. 98, Dec. 2022, doi: 10.1007/s41024-022-00241-7.
M. W. Arshad, S. Sumanto, and S. Setiawansyah, “Decision Support System Perspective Using Entropy and Multi-Attribute Utility Theory in the Selection of the Best Division Head,” J. MEDIA Inform. BUDIDARMA, vol. 8, no. 2, pp. 1109–1119, 2024, doi: 10.30865/mib.v8i2.7603.
S. Setiawansyah, “Integrating Method based on the Removal Effects of Criteria in Multi-Attribute Utility Theory for Employee Admissions Decision Making,” Chain J. Comput. Technol. Comput. Eng. Informatics, vol. 2, no. 4 SE-Articles, pp. 181–192, Oct. 2024, doi: 10.58602/chain.v2i4.151.
A. Aytekin, “Comparative Analysis of the Normalization Techniques in the Context of MCDM Problems,” Decis. Mak. Appl. Manag. Eng., vol. 4, no. 2 SE-Regular articles, pp. 1–25, Mar. 2021, doi: 10.31181/dmame210402001a.
L. B. Carvalho et al., “Normalization methods in mass spectrometry-based analytical proteomics: A case study based on renal cell carcinoma datasets,” Talanta, vol. 266, p. 124953, 2024, doi: https://doi.org/10.1016/j.talanta.2023.124953.
L. Peng, Z. Lu, T. Lei, and P. Jiang, “Dual-Structure Elements Morphological Filtering and Local Z-Score Normalization for Infrared Small Target Detection against Heavy Clouds,” Remote Sensing, vol. 16, no. 13. 2024. doi: 10.3390/rs16132343.
D. Geem et al., “Progression of Pediatric Crohn’s Disease Is Associated With Anti–Tumor Necrosis Factor Timing and Body Mass Index Z-Score Normalization,” Clin. Gastroenterol. Hepatol., vol. 22, no. 2, pp. 368-376.e4, 2024, doi: https://doi.org/10.1016/j.cgh.2023.08.042.
B. Efe, B. Yelbey, and L. Efe, “Unmanned aerial vehicle selection using interval valued q rung orthopair fuzzy number based MAIRCA method TT - Aralık değerli q seviyeli bulanık sayı temelli MAIRCA yöntemiyle insansız hava aracı seçimi,” Pamukkale Üniversitesi Mühendislik Bilim. Derg., vol. 31, no. 1, pp. 37–46, 2025, [Online]. Available: https://dergipark.org.tr/tr/pub/pajes/issue/90500/1644156
K. Aliyeva, A. Aliyeva, R. Aliyev, and M. Özdeşer, “Application of Fuzzy Simple Additive Weighting Method in Group Decision-Making for Capital Investment,” Axioms, vol. 12, no. 8. 2023. doi: 10.3390/axioms12080797.
H. Hariyanto, A. Christian, M. S. Nurhayati, and B. Sudarsono, “Modification of Multi-Attributive Border Approximation Area Comparison (MABAC) to Improve Multi-Criteria Assessment,” J. Inform. dan Rekayasa Perangkat Lunak, vol. 6, no. 1 SE-Articles, pp. 50–60, Mar. 2025, doi: 10.33365/jatika.v6i1.15.
P. Fatulla et al., “Evaluating the Adequacy of Coefficient of Variation and Standard Deviation as Metrics of Glucose Variability in Type 1 Diabetes Based on Data from the GOLD and SILVER Trials,” Diabetes Technol. Ther., Mar. 2025, doi: 10.1089/dia.2024.0540.
UrviOza, B. Gohel, and P. Kumar, “Evaluation of Normalization Algorithms for Breast Mammogram Mass Segmentation,” Procedia Comput. Sci., vol. 235, pp. 2508–2517, 2024, doi: https://doi.org/10.1016/j.procs.2024.04.236.
Y. Jadoul et al., “Rhythmic Analysis in Animal Communication, Speech, and Music: The Normalized Pairwise Variability Index Is a Summary Statistic of Rhythm Ratios,” Vibration, vol. 8, no. 2. 2025. doi: 10.3390/vibration8020012.
I. Gokasar and I. Okur, “A Multi-Criteria Utility Approach to Bridge Maintenance Prioritization,” Knowl. Decis. Syst. with Appl., vol. 1, pp. 35–56, Feb. 2025, doi: 10.59543/kadsa.v1i.13625.
S. A. Keramat, T. Comans, R. Basri, D. Bailey, D. Brooks, and N. N. Dissanayaka, “The Estimation of Health State Utility Values for Psychological Distress in Australia: Implications for Future Economic Evaluations,” Value Heal., vol. 28, no. 3, pp. 368–378, 2025, doi: https://doi.org/10.1016/j.jval.2024.12.002.
G. Bisht and A. K. Pal, “Three-way decisions based multi-attribute decision-making with utility and loss functions,” Eur. J. Oper. Res., vol. 316, no. 1, pp. 268–281, 2024, doi: https://doi.org/10.1016/j.ejor.2024.01.043.
U. Cali et al., “Offshore wind farm site selection in Norway: Using a fuzzy trigonometric weighted assessment model,” J. Clean. Prod., vol. 436, p. 140530, Jan. 2024, doi: 10.1016/j.jclepro.2023.140530.
M. Anjum, H. Min, and Z. Ahmed, “Healthcare Waste Management through Multi-Stage Decision-Making for Sustainability Enhancement,” Sustainability, vol. 16, no. 11. 2024. doi: 10.3390/su16114872.
##submission.downloads##
Diterbitkan
Cara Mengutip
Terbitan
Bagian
Lisensi
Hak Cipta (c) 2025 Ajeng Savitri Puspaningrum, Erliyan Redy Susanto, Nirwana Hendrastuty, Setiawansyah Setiawansyah

Artikel ini berlisensi Creative Commons Attribution-NonCommercial 4.0 International License.






-a.jpg)
-b.jpg)











