Incorporating q-Rung Picture Fuzzy Frank Prioritized Weighted Aggregators with Multimoora Strategy for Decision Making
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Keywords:
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Frank Norm, q-Rung Picture Fuzzy, Prioritized Weighted, Multimoora, Group Decision-Making, Aggregators
Abstract
The Frank norm operators and ˇq-rung picture fuzzy sets offer a versatile framework due to their adjustable parameters. Conversely, prioritized weighted operators are crucial for indicating the relative significance of alternatives and attributes. In this research, we have devised Frank’s prioritized weighted procedure for ˇq-rung picture fuzzy numbers. Thus, the ˇq-rung picture fuzzy prioritized weighted Frank averaging (ˇq-RPFPWFA) and geometric (ˇq-RPFPWFG) operators are presented and analyzed along with some of their properties. Utilizing these proposed operators, a novel approach is established, combining the enhanced MULTIMOORA (MM) procedure with unspecified weight data. A numerical example regarding the multiple attribute group decision making (MAGDM) problem of selecting the financial director of a residential society is handled based upon the aforementioned procedure. Furthermore, we have compared the results with those obtained using available operators. Evidently, the novel ˇq-RPFPWFA and ˇq-RPFPWFG aggregators with the MM technique yield reasonable and consistent outcomes for solving MAGDM.
References
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Wang, L., J. Peng, and J. Wang (2018). A Multi-Criteria Decision-Making Framework for Risk Ranking of Energy Performance Contracting Project Under Picture Fuzzy Environment. Journal of Cleaner Production, 191; 105–118
Wei, G. (2017). Picture Fuzzy Aggregation Operators and Their Application to Multiple Attribute Decision Making. Journal of Intelligent & Fuzzy Systems, 33(2); 713–724
Yager, R. R. (2008). Prioritized Aggregation Operators. International Journal of Approximate Reasoning, 48(1); 263–274
Yager, R. R. (2013). Pythagorean Fuzzy Subsets. In 2013 Joint IFSA World Congress and NAFIPS Annual Meeting (IFSA/NAFIPS). pages 57–61
Yager, R. R. (2017). Generalized Orthopair Fuzzy Sets. IEEE Transactions on Fuzzy Systems, 25(5); 1222–1230
Zadeh, L. A. (1965). Fuzzy Sets. Information and Control, 8(3); 338–353
Zhang, X., P. Liu, and Y. Wang (2015). Multiple Attribute Group Decision Making Methods Based on Intuitionistic Fuzzy Frank Power Aggregation Operators. Journal of Intelligent & Fuzzy Systems, 29(5); 2235–2246
Akram, M., G. Shahzadi, and J. C. R. Alcantud (2022). Multi-Attribute Decision-Making With q-Rung Picture Fuzzy Information. Granular Computing, 7(1); 197–215
Arora, R. and H. Garg (2019). Group Decision-Making Method Based on Prioritized Linguistic Intuitionistic Fuzzy Aggregation Operators and Its Fundamental Properties. Computational and Applied Mathematics, 38(2); 1–32
Ashraf, S. and S. Abdullah (2019). Spherical Aggregation Operators and Their Application in Multiattribute Group Decision-Making. International Journal of Intelligent Systems, 34(3); 493–523
Atanassov, K. T. (1986). Intuitionistic Fuzzy Sets. Fuzzy Sets and Systems, 20(1); 87–96
Aydemir, S. B. and S. Yilmaz Gündüz (2020). Extension of MULTIMOORA Method With Some q-Rung Orthopair Fuzzy Dombi Prioritized Weighted Aggregation Operators for Multi-Attribute Decision Making. Soft Computing, 24(24); 18545–18563
Brauers, W. K. and E. Kazimieras Zavadskas (2006). The MULTIMOORA Method and Its Application to Privatization in a Transition Economy. Control and Cybernetics, 35(2); 5–24
Brauers, W. K. M. and E. K. Zavadskas (2010). Project Management by Multimoora as an Instrument for Transition Economies. Technological and Economic Development of Economy, 16(1); 5–24
Brauers, W. K. M., E. K. Zavadskas, and W. Brauers (2012). Some of the Authors of This Publication Are Also Working on These Related Projects: Optimization in Facility Management in Lithuania View Project Multi-Criteria Decision Making View Project. Informatica, 23(1); 1–25
Chitra, R. and K. Prabakaran (2023). Employing q-Rung Picture Fuzzy Frank Accumulation Operators for Decision-Making Strategy. Journal of Intelligent & Fuzzy Systems, 44(6); 9709–9721
Cuong, B. C. (2014). Picture Fuzzy Sets. Journal of Computer Science and Cybernetics, 30(4); 409
Frank, M. J. (1979). On the Simultaneous Associativity of F (x, y) and x + y − F (x, y). Aequationes Mathematicae, 19(1); 194–226
Garg, H. and Nancy (2018). Multi-Criteria Decision-Making Method Based on Prioritized Muirhead Mean Aggregation Operator Under Neutrosophic Set Environment. Symmetry, 10(7); 280
Hasnan, Q. H. B., Z. B. M. Rodzi, N. H. B. Kamis, F. A. B. M. Amin, F. Al-Sharqi, J. M. Sahak, and G. B. Ahmad (2024). Revolutionizing Multi-Criteria Decision Making With the Triangular Fuzzy Geometry Bonferroni Mean Operator (TFGBM). Science and Technology Indonesia, 9(1); 1–6
He, J., X. Wang, R. Zhang, and L. Li (2019). Some q-Rung Picture Fuzzy Dombi Hamy Mean Operators With Their Application to Project Assessment. Mathematics, 7(5); 468
Li, L., R. Zhang, J. Wang, X. Shang, and K. Bai (2018). A Novel Approach to Multi-Attribute Group Decision-Making With q-Rung Picture Linguistic Information. Symmetry, 10(5); 172
Liu, P., G. Shahzadi, and M. Akram (2020). Specific Types of q-Rung Picture Fuzzy Yager Aggregation Operators for Decision-Making. International Journal of Computational Intelligence Systems, 13(1); 1072–1091
Liu, P. and P. Wang (2018). Some q-Rung Orthopair Fuzzy Aggregation Operators and Their Applications to Multiple-Attribute Decision Making. International Journal of Intelligent Systems, 33(2); 259–280
Peng, J., C. Tian, W. Zhang, S. Zhang, and J. Wang (2020). An Integrated Multi-Criteria Decision-Making Framework for Sustainable Supplier Selection Under Picture Fuzzy Environment. Technological and Economic Development of Economy, 26(3); 573–598
Riaz, M., H. M. A. Farid, H. M. Shakeel, and Y. Almalki (2022). Modernizing Energy Efficiency Improvement With q-Rung Orthopair Fuzzy MOORA Approach. IEEE Access, 10; 74931–74947
Seikh, M. R. and U. Mandal (2021). Some Picture Fuzzy Aggregation Operators Based on Frank t-Norm and t-Conorm: Application to MADM Process. Informatica, 45(3); 447–461
Seikh, M. R. and U. Mandal (2022). q-Rung Orthopair Fuzzy Frank Aggregation Operators and Its Application in Multiple Attribute Decision-Making With Unknown Attribute Weights. Granular Computing, 7(3); 709–730
Tian, C., J. J. Peng, Z. Q. Zhang, J. Q. Wang, and M. Goh (2022). An Extended Picture Fuzzy MULTIMOORA Method Based on Schweizer–Sklar Aggregation Operators. Soft Computing, 26(7); 3435–3454
Wang, L., J. Peng, and J. Wang (2018). A Multi-Criteria Decision-Making Framework for Risk Ranking of Energy Performance Contracting Project Under Picture Fuzzy Environment. Journal of Cleaner Production, 191; 105–118
Wei, G. (2017). Picture Fuzzy Aggregation Operators and Their Application to Multiple Attribute Decision Making. Journal of Intelligent & Fuzzy Systems, 33(2); 713–724
Yager, R. R. (2008). Prioritized Aggregation Operators. International Journal of Approximate Reasoning, 48(1); 263–274
Yager, R. R. (2013). Pythagorean Fuzzy Subsets. In 2013 Joint IFSA World Congress and NAFIPS Annual Meeting (IFSA/NAFIPS). pages 57–61
Yager, R. R. (2017). Generalized Orthopair Fuzzy Sets. IEEE Transactions on Fuzzy Systems, 25(5); 1222–1230
Zadeh, L. A. (1965). Fuzzy Sets. Information and Control, 8(3); 338–353
Zhang, X., P. Liu, and Y. Wang (2015). Multiple Attribute Group Decision Making Methods Based on Intuitionistic Fuzzy Frank Power Aggregation Operators. Journal of Intelligent & Fuzzy Systems, 29(5); 2235–2246
Authors
Ramesh, C., & Kesavan, P. (2024). Incorporating q-Rung Picture Fuzzy Frank Prioritized Weighted Aggregators with Multimoora Strategy for Decision Making. Science and Technology Indonesia, 9(4), 766–778. https://doi.org/10.26554/sti.2024.9.4.766-778
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