Dynamic Aggregation Operators for Selection of Optimal Communication System in the Rescue Department Under Complex q-rung Orthopair Fuzzy Environment

Authors

DOI:

https://doi.org/10.31181/sdmap31202646

Keywords:

Complex q-rung Orthopair Fuzzy Sets, Cq-ROFDWA operator, Cq-ROFDWG operator, Optimization, Decision making

Abstract

Selecting the advanced communication system for the rescue department is pivotal for enhancing coordination, operations, and effectiveness in today’s dynamic environment. Addressing the complexities arising from uncertainty and periodicity, the Complex q-rung Orthopair Fuzzy Set theory emerges as adept, encapsulating comprehensive problem specifications. This study introduces two innovative aggregation operators within the Cq-ROFS framework: the Complex q-rung Orthopair Fuzzy Dynamic Weighted Averaging (Cq-ROFDWA) and the Complex q-rung Orthopair Fuzzy Dynamic Weighted Geometric (Cq-ROFDWG) operators. Some important characteristics of the newly defined operators are established. Moreover, these operators contribute to a systematic framework for handling Multiple Attribute Decision Making (MADM) problems involving complex q-rung Orthopair fuzzy information. The article exemplifies their application in resolving a MADM problem, determining the optimal option of an advanced communication system. Finally, to validate the derived methodologies, a thorough comparison study is carried out, demonstrating the superiority of the presented operators against various existing operators.

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References

Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8(3), 338–353. https://doi.org/10.1016/S0019-9958(65)90241-X

Atanassov, K. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20(1), 87–96. https://doi.org/10.1016/S0165-0114(86)80034-3

Xu, Z., & Yager, R. R. (2008). Dynamic intuitionistic fuzzy multi-attribute decision making. International Journal of Approximate Reasoning, 48(1), 246–262. https://doi.org/10.1016/j.ijar.2007.05.007

Wei, G. (2010). Some induced geometric aggregation operators with intuitionistic fuzzy information and their application to group decision making. Applied Soft Computing, 10(2), 423–431. https://doi.org/10.1016/j.asoc.2009.07.008

Tan, C., & Chen, X. (2010). Intuitionistic fuzzy Choquet integral operator for multi-criteria decision making. Expert Systems with Applications, 37(1), 149–157. https://doi.org/10.1016/j.eswa.2009.05.009

Zhao, X., & Wei, G. (2013). Some intuitionistic fuzzy Einstein hybrid aggregation operators and their application to multiple attribute decision making. Knowledge-Based Systems, 37, 472–479. https://doi.org/10.1016/j.knosys.2012.09.016

Wei, G., & Zhao, X. (2012). Some induced correlated aggregating operators with intuitionistic fuzzy information and their application to multiple attribute group decision making. Expert Systems with Applications, 39(2), 2026–2034. https://doi.org/10.1016/j.eswa.2011.08.013

Bolturk, E., & Kahraman, C. (2018). Interval-valued intuitionistic fuzzy CODAS method and its application to wave energy facility location selection problem. Journal of Intelligent & Fuzzy Systems, 35(4), 4865–4877. https://doi.org/10.3233/JIFS-169594

Yeni, F. B., & Özçelik, G. (2019). Interval-valued Atanassov intuitionistic fuzzy CODAS method for multi-criteria group decision making problems. Group Decision and Negotiation, 28, 433–452. https://doi.org/10.1007/s10726-019-09610-w

Li, Y., Olson, D. L., & Qin, Z. (2007). Similarity measures between intuitionistic fuzzy (vague) sets: A comparative analysis. Pattern Recognition Letters, 28(2), 278–285. https://doi.org/10.1016/j.patrec.2006.08.011

Ali, J. (2025). Probabilistic hesitant fuzzy group decision analysis using partitioned Maclaurin symmetric mean operators. Journal of Applied Mathematics and Computing, 1–29. https://doi.org/10.1007/s12190-025-02508-x

Yager, R. R. (2013). Pythagorean fuzzy subsets. In 2013 Joint IFSA World Congress and NAFIPS Annual Meeting (IFSA/NAFIPS) (pp. 57–61). IEEE. https://doi.org/10.1109/IFSA-NAFIPS.2013.6608378

Garg, H. (2016). A new generalized Pythagorean fuzzy information aggregation using Einstein operations and its application to decision making. International Journal of Intelligent Systems, 31(9), 886–920. https://doi.org/10.1002/int.21894

Peng, X., & Yang, Y. (2016). Pythagorean fuzzy Choquet integral based MABAC method for multiple attribute group decision making. International Journal of Intelligent Systems, 31(10), 989–1020. https://doi.org/10.1002/int.21909

Peng, X., & Li, W. (2019). Algorithms for interval-valued Pythagorean fuzzy sets in emergency decision making based on multiparametric similarity measures and WDBA. IEEE Access, 7, 7419–7441. https://doi.org/10.1109/ACCESS.2018.2889597

Zhou, F., & Chen, T.-Y. (2019). A novel distance measure for Pythagorean fuzzy sets and its applications to the technique for order preference by similarity to ideal solutions. International Journal of Computational Intelligence Systems, 12(2), 955–969. https://doi.org/10.2991/ijcis.d.190228.002

Yager, R. R. (2016). Generalized orthopair fuzzy sets. IEEE Transactions on Fuzzy Systems, 25(5), 1222–1230. https://doi.org/10.1109/TFUZZ.2016.2582685

Liu, P., & Wang, P. (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. https://doi.org/10.1002/int.21938

Ramot, D., Milo, R., Friedman, M., & Kandel, A. (2002). Complex fuzzy sets. IEEE Transactions on Fuzzy Systems, 10(2), 171–186. https://doi.org/10.1109/91.995117

Buckley, J. (1989). Fuzzy complex numbers. Fuzzy Sets and Systems, 33(3), 333–345. https://doi.org/10.1016/0165-0114(89)90157-3

Nguyen, H. T., Kandel, A., & Kreinovich, V. (2000). Complex fuzzy sets: Towards new foundations. In Proceedings of the Ninth IEEE International Conference on Fuzzy Systems (FUZZ-IEEE 2000) (Vol. 2, pp. 1045–1048). IEEE. https://doi.org/10.1109/FUZZY.2000.839205

Zhang, G., Dillon, T. S., Cai, K.-Y., Ma, J., & Lu, J. (2009). Operation properties and σ-equalities of complex fuzzy sets. International Journal of Approximate Reasoning, 50(8), 1227–1249. https://doi.org/10.1016/j.ijar.2009.06.003

Alghazzawi, D., Liaqat, M., Razaq, A., Alolaiyan, H., Shuaib, U., & Liu, J.-B. (2023). Selection of optimal approach for cardiovascular disease diagnosis under complex intuitionistic fuzzy dynamic environment. Mathematics, 11(22), 4616. https://doi.org/10.3390/math11224616

Akram, M., & Naz, S. (2019). A novel decision-making approach under complex Pythagorean fuzzy environment. Mathematical and Computational Applications, 24(3), 73. https://doi.org/10.3390/mca24030073

Bi, L., Dai, S., & Hu, B. (2018). Complex fuzzy geometric aggregation operators. Symmetry, 10(7), 251. https://doi.org/10.3390/sym10070251

Bi, L., Dai, S., Hu, B., & Li, S. (2019). Complex fuzzy arithmetic aggregation operators. Journal of Intelligent & Fuzzy Systems, 36(3), 2765–2771. https://doi.org/10.3233/JIFS-179043

Garg, H., & Rani, D. (2020). Robust averaging–geometric aggregation operators for complex intuitionistic fuzzy sets and their applications to MCDM process. Arabian Journal for Science and Engineering, 45(3), 2017–2033. https://doi.org/10.1007/s13369-019-04198-2

Garg, H., Ali, Z., & Mahmood, T. (2021). Generalized Dice similarity measures for complex q-rung orthopair fuzzy sets and its application. Complex & Intelligent Systems, 7, 667–686. https://doi.org/10.1007/s40747-020-00201-3

Garg, H., Gwak, J., Mahmood, T., & Ali, Z. (2020). Power aggregation operators and VIKOR methods for complex q-rung orthopair fuzzy sets and their applications. Mathematics, 8(4), 538. https://doi.org/10.3390/math8040538

Liu, P., Mahmood, T., & Ali, Z. (2022). The cross-entropy and improved distance measures for complex q-rung orthopair hesitant fuzzy sets and their applications in multi-criteria decision-making. Complex & Intelligent Systems, 8(2), 1167–1186. https://doi.org/10.1007/s40747-021-00543-8

Ali, Z., & Mahmood, T. (2020). Maclaurin symmetric mean operators and their applications in the environment of complex q-rung orthopair fuzzy sets. Computational and Applied Mathematics, 39(3), 161. https://doi.org/10.1007/s40314-020-01232-3

Liu, P., Ali, Z., & Mahmood, T. (2021). Some cosine similarity measures and distance measures between complex q-rung orthopair fuzzy sets and their applications. International Journal of Computational Intelligence Systems, 14(1), 1653–1671. https://doi.org/10.2991/ijcis.d.210714.001

Liu, P., Mahmood, T., & Ali, Z. (2019). Complex q-rung orthopair fuzzy aggregation operators and their applications in multi-attribute group decision making. Information, 11(1), 5. https://doi.org/10.3390/info11010005

Alghazzawi, D., Razaq, A., Komal, L., Alolyian, H., Khalifa, H. A. E.-W., Alqahtani, H., & Xin, Q. (2024). Dynamic aggregation operators for optimal biometric-based attendance device selection under complex Fermatean fuzzy environment. IEEE Access, 12, 75396-75411.

Du, Y., Du, X., Li, Y., Cui, J.-X., & Hou, F. (2022). Complex q-rung orthopair fuzzy Frank aggregation operators and their application to multi-attribute decision making. Soft Computing, 26(22), 11973–12008. https://doi.org/10.1007/s00500-022-06737-4

Ali, Z. (2025). Fairly aggregation operators based on complex p, q-rung orthopair fuzzy sets and their application in decision-making problems. Spectrum of Operational Research, 2(1), 113–131.

Javeed, S., Javed, M., Shafique, I., Shoaib, M., Khan, M. S., Cui, L., Askar, S., & Alshamrani, A. M. (2024). Complex q-rung orthopair fuzzy Yager aggregation operators and their application to evaluate the best medical manufacturer. Applied Soft Computing, 157, 111532. https://doi.org/10.1016/j.asoc.2023.111532

Liu, P., Ali, Z., & Mahmood, T. (2021). Generalized complex q-rung orthopair fuzzy Einstein averaging aggregation operators and their application in multi-attribute decision making. Complex & Intelligent Systems, 7, 511–538. https://doi.org/10.1007/s40747-020-00195-y

Published

2025-06-19

How to Cite

Ijaz, F., Azeem, M., & Ali, J. (2025). Dynamic Aggregation Operators for Selection of Optimal Communication System in the Rescue Department Under Complex q-rung Orthopair Fuzzy Environment. Spectrum of Decision Making and Applications, 3(1), 339-363. https://doi.org/10.31181/sdmap31202646