A Hybrid Quadripartitioned Single-Valued Neutrosophic Method and its Application for the Selection of Emergency Logistics Outsourcing Suppliers

Authors

DOI:

https://doi.org/10.31181/jopi31202548

Keywords:

ELOSs, QSVN set, Multiple criteria decision analysis, Aczel–Alsina

Abstract

The selection of an emergency logistics outsourcing supplier (ELOS) is critical for enhancing disaster response efficiency, reducing operational costs, and strengthening supply chain resilience. A scientifically robust supplier evaluation framework optimizes resource allocation, mitigates risks, and ensures timely material distribution, serving as a cornerstone of effective emergency management systems. This study introduces a novel hybrid quadripartitioned single-valued neutrosophic (QSVN) multi-criteria decision-making (MCDM) approach, integrating the coefficient of variation method (CVM) and complex proportional assessment (COPRAS) to address ambiguity and uncertainty in decision-making. Key contributions include: (1) establishing QSVN Aczel-Alsina operational rules based on Aczel-Alsina norms, (2) developing weighted averaging and geometric Aczel-Alsina aggregation operators for QSVN numbers (QSVNNs), and (3) proposing a hybrid CVM-COPRAS framework for criteria weighting and alternative ranking. A case study on ELOS selection validates the method’s efficacy, supported by sensitivity and comparative analyses demonstrating its robustness and superiority over existing techniques. The results confirm the model’s stability and improved performance in complex decision-making under uncertainty.

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References

Rajabzadeh, H., Rabiee, M., & Sarkis, J. (2024). Sourcing from risky reverse channels: Insights on pricing and resilience strategies in sustainable supply chains. International Journal of Production Economics, 276. https://doi.org/10.1016/j.ijpe.2024.109373

Abbasi, S., Sicakyuz, C., Gonzalez, E. D. R. S., & Ghasemi, P. (2024). A systematic literature review of logistics services outsourcing. Heliyon, 10(13). https://doi.org/10.1016/j.heliyon.2024.e33374

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

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

Yager, R. R. (2014). Pythagorean Membership Grades in Multicriteria Decision Making. Ieee Transactions on Fuzzy Systems, 22(4), 958-965. https://doi.org/10.1109/tfuzz.2013.2278989

Liu, Y., Qin, Y., Liu, H., Abdullah, S., & Rong, Y. (2024). Prospect Theory-Based q-Rung Orthopair Fuzzy TODIM Method for Risk Assessment of Renewable Energy Projects. International Journal of Fuzzy Systems. https://doi.org/10.1007/s40815-023-01652-5

Zheng, Y., Qin, H., & Ma, X. (2024). A novel group decision making method based on CoCoSo and interval-valued Q-rung orthopair fuzzy sets. Scientific Reports, 14(1), 6562-6562. https://doi.org/10.1038/s41598-024-56922-5

Gul, R., Ayub, S., Shabir, M., Alballa, T., & Khalifa, H. A. E.-W. (2024). Roughness of linear Diophantine fuzzy sets by intuitionistic fuzzy relations over dual universes with decision-making applications. Computational & Applied Mathematics, 43(6). https://doi.org/10.1007/s40314-024-02805-4

Riaz, M., Qamar, F., Tariq, S., & Alsager, K. (2024). AI-Driven LOPCOW-AROMAN Framework and Topological Data Analysis Using Circular Intuitionistic Fuzzy Information: Healthcare Supply Chain Innovation. Mathematics, 12(22). https://doi.org/10.3390/math12223593

Rong, Y., Yu, L. Y., Liu, Y., Simic, V., & Garg, H. (2024). The FMEA model based on LOPCOW-ARAS methods with interval-valued Fermatean fuzzy information for risk assessment of R&D projects in industrial robot offline programming systems. Computational & Applied Mathematics, 43(1). https://doi.org/10.1007/s40314-023-02532-2

Meng, Z., Lin, R., & Wu, B. (2024). Multi-criteria group decision making based on graph neural networks in Pythagorean fuzzy environment. Expert Systems with Applications, 242. https://doi.org/10.1016/j.eswa.2023.122803

Florentin, S. (2018). Plithogenic set, an extension of crisp, fuzzy, intuitionistic fuzzy, and neutrosophic sets-revisited (Vol. 21): Infinite study.

Wang, H. H., Smarandache F., Zhang Y. Q., Sunderraman R. (2010). Single Valued Neutrosophic Sets. Multispace Multistructure 4, 410-413.

Rong, Y., Liu, Y., & Pei, Z. (2020). Generalized Single-Valued Neutrosophic Power Aggregation Operators Based on Archimedean Copula and Co-Copula and Their Application to Multi-Attribute Decision-Making. Ieee Access, 8, 35496-35519. https://doi.org/10.1109/access.2020.2974767

Xu, L., Liu, Y., & Liu, F. (2021). Improved MABAC method based on single-valued neutrosophic 2-tuple linguistic sets and Frank aggregation operators for MAGDM. Computational & Applied Mathematics, 40(8). https://doi.org/10.1007/s40314-021-01656-7

Ye, J., & Du, S. (2019). Some distances, similarity and entropy measures for interval-valued neutrosophic sets and their relationship. International Journal of Machine Learning and Cybernetics, 10(2), 347-355. https://doi.org/10.1007/s13042-017-0719-z

Torkayesh, A. E., Tavana, M. J., & Santos-Arteaga, F. J. (2022). A multi-distance interval-valued neutrosophic approach for social failure detection in sustainable municipal waste management. Journal of Cleaner Production, 336. https://doi.org/10.1016/j.jclepro.2022.130409

Touqeer, M., Umer, R., Mohammad, N. A., Salimi, M., & Ahmadian, A. (2024). Signed distance-based approach for multiple criteria group decision-making with incomplete information using interval type-2 neutrosophic numbers. Multimedia Tools and Applications, 83(3), 8439-8466. https://doi.org/10.1007/s11042-023-15619-z

Ji, P., Zhang, H.-y., & Wang, J.-q. (2018). Selecting an outsourcing provider based on the combined MABAC-ELECTRE method using single-valued neutrosophic linguistic sets. Computers & Industrial Engineering, 120, 429-441. https://doi.org/10.1016/j.cie.2018.05.012

Mishra, A. R., Rani, P., & Saha, A. (2021). Single-valued neutrosophic similarity measure-based additive ratio assessment framework for optimal site selection of electric vehicle charging station. International Journal of Intelligent Systems, 36(10), 5573-5604. https://doi.org/10.1002/int.22523

Mishra, A. R., Rani, P., & Prajapati, R. S. (2021). Multi-criteria weighted aggregated sum product assessment method for sustainable biomass crop selection problem using single-valued neutrosophic sets. Applied Soft Computing, 113. https://doi.org/10.1016/j.asoc.2021.108038

Hezam, I. M., Mishra, A. R., Rani, P., Saha, A., Smarandache, F., & Pamucar, D. (2023). An integrated decision support framework using single-valued neutrosophic-MASWIP-COPRAS for sustainability assessment of bioenergy production technologies. Expert Systems with Applications, 211. https://doi.org/10.1016/j.eswa.2022.118674

Zheng, J., Wang, Y.-M., & Zhang, K. (2024). Dynamic case-based emergency decision-making model under time-varying single-valued neutrosophic set. Expert Systems with Applications, 250. https://doi.org/10.1016/j.eswa.2024.123830

Onden, A., Kara, K., Onden, I., Yalcin, G. C., Simic, V., & Pamucar, D. (2024). Exploring the adoption of the metaverse and chat generative pre-trained transformer: A single-valued neutrosophic Dombi Bonferroni-based method for the selection of software development strategies. Engineering Applications of Artificial Intelligence, 133. https://doi.org/10.1016/j.engappai.2024.108378

Chatterjee, R., Majumdar, P., & Samanta, S. K. (2016). On some similarity measures and entropy on quadripartitioned single valued neutrosophic sets. Journal of Intelligent & Fuzzy Systems, 30(4), 2475-2485. https://doi.org/10.3233/ifs-152017

Chatterjee, R., Majumdar, P., & Samanta, S. K. (2020). A multi-criteria group decision making algorithm with quadripartitioned neutrosophic weighted aggregation operators using quadripartitioned neutrosophic numbers in IPQSVNSS environment. Soft Computing, 24(12), 8857-8880. https://doi.org/10.1007/s00500-019-04417-1

Mohanasundari, M., & Mohana, K. (2020). Quadripartitioned Single valued Neutrosophic Dombi Weighted Aggregation Operators for Multiple Attribute Decision Making. Neutrosophic Sets and Systems, 32, 107-122.

Hussain, S. S., Durga, N., Hossein, R., Ganesh, G., & Oscar, C. (2022). New Concepts on Quadripartitioned Single-Valued Neutrosophic Graph with Real-Life Application. International Journal of Fuzzy Systems, 24(3), 1515-1529. https://doi.org/10.1007/s40815-021-01205-8

Goyal, S., & Rani, P. (2024). Multi-criteria decision-making based on Einstein operators, WASPAS method and quadripartitioned single-valued neutrosophic sets. Granular Computing, 9(3). https://doi.org/10.1007/s41066-024-00482-6

Roy, S., Lee, J.-G., Pal, A., & Samanta, S. K. (2020). Similarity Measures of Quadripartitioned Single Valued Bipolar Neutrosophic Sets and Its Application in Multi-Criteria Decision Making Problems. Symmetry-Basel, 12(6). https://doi.org/10.3390/sym12061012.

Sinha, K., & Majumdar, P. (2020). Bipolar quadripartitioned single valued neutrosophic sets. Proyecciones (Antofagasta), 39(6), 1597-1614. https://doi.org/10.22199/issn.0717-6279-2020-06-0095

Borah, G., & Dutta, P. (2023). Aggregation operators of quadripartitioned single-valued neutrosophic Z-numbers with applications to diverse COVID-19 scenarios. Engineering Applications of Artificial Intelligence, 119. https://doi.org/10.1016/j.engappai.2022.105748

Zavadskas, E. K., Kaklauskas, A., & Sarka, V. (1994). The new method of multicriteria complex proportional assessment of projects. Technological and Economic Development of Economy, 1, 131-139.

Opricovic, S., & Tzeng, G. H. (2004). Compromise solution by MCDM methods: A comparative analysis of VIKOR and TOPSIS. European Journal of Operational Research, 156(2), 445-455. https://doi.org/10.1016/s0377-2217(03)00020-1

Zavadskas, E. K., Turskis, Z., Antucheviciene, J., & Zakarevicius, A. (2012). Optimization of Weighted Aggregated Sum Product Assessment. Elektronika Ir Elektrotechnika, 122(6), 3-6. https://doi.org/10.5755/j01.eee.122.6.1810

Roubens, M. (1982). Preference relations on actions and criteria in multicriteria decision making. European Journal of Operational Research, 10(1), 51-55. https://doi.org/https://doi.org/10.1016/0377-2217(82)90131-X

Saraji, M. K., Streimikiene, D., & Kyriakopoulos, G. L. (2021). Fermatean Fuzzy CRITIC-COPRAS Method for Evaluating the Challenges to Industry 4.0 Adoption for a Sustainable Digital Transformation. Sustainability, 13(17). https://doi.org/10.3390/su13179577

Liu, P., Rani, P., & Mishra, A. R. (2022). COPRAS method based on interval-valued hesitant Fermatean fuzzy sets and its application in selecting desalination technology. Applied Soft Computing, 119. https://doi.org/10.1016/j.asoc.2022.108570

Gao, K., Liu, T., Rong, Y., Simic, V., Garg, H., & Senapati, T. (2024). A novel BWM-entropy-COPRAS group decision framework with spherical fuzzy information for digital supply chain partner selection. Complex & Intelligent Systems, 10(5), 6983-7008. https://doi.org/10.1007/s40747-024-01500-5

Mao, Q., Chen, J., Lv, J., Guo, M., & Tian, M. (2023). A hybrid DEMATEL-COPRAS method using interval-valued probabilistic linguistic term set for sustainable hydrogen fuel cell supplier of new energy vehicles. Environmental Science and Pollution Research, 30(29), 74236-74264. https://doi.org/10.1007/s11356-023-27470-8

Soni, A., Das, P. K., & Kumar, S. (2023). Application of q-rung orthopair fuzzy based SWARA-COPRAS model for municipal waste treatment technology selection. Environmental Science and Pollution Research. https://doi.org/10.1007/s11356-023-28602-w

Toptanci, S., Gundogdu, H. G., Korucuk, S., Aytekin, A., & Stevic, Z. (2023). Corporate sustainability strategy selection for a metropolitan municipality using a trapezoidal interval type-2 fuzzy SWARA-COPRAS framework. Soft Computing. https://doi.org/10.1007/s00500-023-08800-x

Haghighi, M. H., & Ashrafi, M. (2023). A novel framework for risk management of software projects by integrating a new COPRAS method under cloud model and machine learning algorithms. Annals of Operations Research. https://doi.org/10.1007/s10479-023-05653-3

Ganie, A. H., Dutta, D., & Sharma, S. K. (2024). A New Entropy Measure and COPRAS Method for Spherical Fuzzy Sets. Ieee Access, 12, 63917-63931. https://doi.org/10.1109/ACCESS.2024.3392352

Aczél, J., & Alsina, C. (1982). Characterizations of some classes of quasilinear functions with applications to triangular norms and to synthesizing judgements. aequationes mathematicae, 25(1), 313-315. https://doi.org/10.1007/BF02189626

Published

2025-04-23

How to Cite

Li, D., & Rong, Y. (2025). A Hybrid Quadripartitioned Single-Valued Neutrosophic Method and its Application for the Selection of Emergency Logistics Outsourcing Suppliers. Journal of Operations Intelligence, 3(1), 126-144. https://doi.org/10.31181/jopi31202548