基于集成算子的单值中智集CoCoSo多属性群决策方法——单值中智集CoCoSo多属性群决策方法
A Novel Aggregation Operator-Based CoCoSo Approach for Single-Valued Neutrosophic Multi-Attribute Group Decision-Making—Single-Valued Neutrosophic Set CoCoSo Multi-Attribute Group Decision-Making
DOI: 10.12677/orf.2025.154201, PDF,    科研立项经费支持
作者: 万国柔:四川建筑职业技术学院基础教学部,四川 德阳;荣 源*:宁夏医科大学创新创业学院,宁夏 银川
关键词: 多属性群决策单值中智集集成算子CoCoSoMulti-Attribute Group Decision-Making Single-Valued Neutrosophic Set Aggregation Operator CoCoSo
摘要: 针对准则权重信息完全未知的单值中智集(Single-Valued Neutrosophic Set)多属性群决策问题,提出一种基于新型集成算子的改进CoCoSo (Combined Compromise Solution)多属性群决策模型。主要创新点如下:首先,通过引入对数函数建立了单值中智集基本运算法则,在此基础上构建了一系列新型集成算子并系统研究了其数学性质。其次,针对属性权重完全未知的决策环境,提出了基于单值中智集得分函数的Rényi熵权重模型。基于上述理论,通过融合CoCoSo方法,提出改进的CoCoSo群决策框架。为验证模型的有效性,以公共卫生应急管理能力评价案例进行实证分析,通过敏感性分析和对比研究验证所提方法的鲁棒性和有效性。
Abstract: This study addresses multi-attribute group decision-making problems with completely unknown criterion weights in a single-valued neutrosophic set environment and proposes an improved CoCoSo multi-attribute group decision-making model based on novel aggregation operators. The main contributions are as follows: First, fundamental operational rules for single-valued neutrosophic sets are established using logarithmic functions, upon which a series of new aggregation operators are constructed, and their mathematical properties are systematically investigated. Second, for decision-making scenarios where attribute weights are entirely unknown, a Rényi entropy-based weighting model is proposed using SVN set score functions. Building on these theoretical innovations, an enhanced CoCoSo group decision-making framework is developed by integrating a multi-attribute compromise solution strategy. To validate the model’s effectiveness, a case study on green supplier selection is conducted, with sensitivity and comparative analyses confirming the robustness and validity of the proposed method.
文章引用:万国柔, 荣源. 基于集成算子的单值中智集CoCoSo多属性群决策方法——单值中智集CoCoSo多属性群决策方法[J]. 运筹与模糊学, 2025, 15(4): 135-149. https://doi.org/10.12677/orf.2025.154201

参考文献

[1] Rani, P., Pamucar, D., Mishra, A.R., Hezam, I.M., Ali, J. and Ahammad, S.K.H. (2023) An Integrated Interval-Valued Pythagorean Fuzzy WISP Approach for Industry 4.0 Technology Assessment and Digital Transformation. Annals of Operations Research, 342, 1235-1274. [Google Scholar] [CrossRef
[2] Chai, J., Su, Y. and Lu, S. (2023) Linguistic Z-Number Preference Relation for Group Decision Making and Its Application in Digital Transformation Assessment of SMEs. Expert Systems with Applications, 213, Article ID: 118749. [Google Scholar] [CrossRef
[3] Rong, Y., Yu, L., Liu, Y., Simic, V. and Garg, H. (2023) 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 and Applied Mathematics, 43, Article No. 25. [Google Scholar] [CrossRef
[4] Liu, Y., Qin, Y., Liu, H., Abdullah, S. and Rong, Y. (2024) Prospect Theory-Based Q-Rung Orthopair Fuzzy TODIM Method for Risk Assessment of Renewable Energy Projects. International Journal of Fuzzy Systems, 26, 1046-1068. [Google Scholar] [CrossRef
[5] Rong, Y., Yu, L., Liu, Y., Simic, V. and Pamucar, D. (2024) A Pharmaceutical Cold-Chain Logistics Service Quality Model Using a Q-Rung Orthopair Fuzzy Framework with Distance Measure. Engineering Applications of Artificial Intelligence, 136, Article ID: 109019. [Google Scholar] [CrossRef
[6] Zadeh, L.A. (1965) Fuzzy Sets. Information and Control, 8, 338-353. [Google Scholar] [CrossRef
[7] Atanassov, K.T. (1986) Intuitionistic Fuzzy Sets. Fuzzy Sets and Systems, 20, 87-96. [Google Scholar] [CrossRef
[8] Smarandache, F. (1999) A Unifying Field in Logics. Neutrosophy: Neutrosophic Probability, Set and Logic. American Research Press.
[9] Wang, H.H., Smarandache, F., Zhang, Y.Q. and Sunderraman, R. (2010) Single Valued Neutrosophic Sets. Multispace Multistructure, 4, 410-413.
[10] Rong, Y., Liu, Y. and 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. [Google Scholar] [CrossRef
[11] Rong, Y., Niu, W., Garg, H., Liu, Y. and Yu, L. (2022) A Hybrid Group Decision Approach Based on MARCOS and Regret Theory for Pharmaceutical Enterprises Assessment under a Single-Valued Neutrosophic Scenario. Systems, 10, Article 106. [Google Scholar] [CrossRef
[12] Adalı, E.A., Öztaş, T., Özçil, A., Öztaş, G.Z. and Tuş, A. (2022) A New Multi-Criteria Decision-Making Method under Neutrosophic Environment: ARAS Method with Single-Valued Neutrosophic Numbers. International Journal of Information Technology & Decision Making, 22, 57-87. [Google Scholar] [CrossRef
[13] Hezam, I.M., Mishra, A.R., Rani, P., Saha, A., Smarandache, F. and 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, Article ID: 118674. [Google Scholar] [CrossRef
[14] Mishra, A.R., Rani, P. and 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, 5573-5604. [Google Scholar] [CrossRef
[15] Deveci, M., Pamucar, D. and Gokasar, I. (2021) Fuzzy Power Heronian Function Based CoCoSo Method for the Advantage Prioritization of Autonomous Vehicles in Real-Time Traffic Management. Sustainable Cities and Society, 69, Article ID: 102846. [Google Scholar] [CrossRef
[16] Cui, Y., Liu, W., Rani, P. and Alrasheedi, M. (2021) Internet of Things (IoT) Adoption Barriers for the Circular Economy Using Pythagorean Fuzzy Swara-CoCoSo Decision-Making Approach in the Manufacturing Sector. Technological Forecasting and Social Change, 171, Article ID: 120951. [Google Scholar] [CrossRef
[17] Tripathi, D.K., Nigam, S.K., Rani, P. and Shah, A.R. (2023) New Intuitionistic Fuzzy Parametric Divergence Measures and Score Function-Based CoCoSo Method for Decision-Making Problems. Decision Making: Applications in Management and Engineering, 6, 535-563. [Google Scholar] [CrossRef
[18] Zheng, Y., Qin, H. and Ma, X. (2024) A Novel Group Decision Making Method Based on CoCoSo and Interval-Valued Q-Rung Orthopair Fuzzy Sets. Scientific Reports, 14, Article No. 6562. [Google Scholar] [CrossRef] [PubMed]
[19] Wang, H., Mahmood, T. and Ullah, K. (2023) Improved CoCoSo Method Based on Frank Softmax Aggregation Operators for T-Spherical Fuzzy Multiple Attribute Group Decision-Making. International Journal of Fuzzy Systems, 25, 1275-1310. [Google Scholar] [CrossRef
[20] Zhang, H. and Wei, G. (2023) Location Selection of Electric Vehicles Charging Stations by Using the Spherical Fuzzy CPT-CoCoSo and D-CRITIC Method. Computational and Applied Mathematics, 42, Article No. 60. [Google Scholar] [CrossRef
[21] Rong, Y. and Yu, L. (2023) Decision Support System for Prioritization of Offshore Wind Farm Site by Utilizing Picture Fuzzy Combined Compromise Solution Group Decision Method. Entropy, 25, Article 1081. [Google Scholar] [CrossRef] [PubMed]
[22] Ye, J. (2014) A Multicriteria Decision-Making Method Using Aggregation Operators for Simplified Neutrosophic Sets. Journal of Intelligent & Fuzzy Systems, 26, 2459-2466. [Google Scholar] [CrossRef
[23] Smarandache, F. (2020) The Score, Accuracy, and Certainty Functions Determine a Total Order on the Set of Neutrosophic Triplets (T, I, F). Neutrosophic Sets and Systems, 38, 1-14. [Google Scholar] [CrossRef
[24] Kazimieras Zavadskas, E., Baušys, R. and Lazauskas, M. (2015) Sustainable Assessment of Alternative Sites for the Construction of a Waste Incineration Plant by Applying WASPAS Method with Single-Valued Neutrosophic Set. Sustainability, 7, 15923-15936. [Google Scholar] [CrossRef