Group Decision Making Model for Weapon Selection Using Extended VIKOR Method under Intuitionistic Fuzzy Environment

Abstract

Abstract: With respect to weapon system selection problem, in which attribute weights are completely unknown and attribute values are expressed with linguistic information, a multi-attribute group decision-making method based on extended VIKOR was proposed. The intuitionistic fuzzy weighted averaging (IFWA) operator was introduced to aggregate all the individual decision-making information in order to obtain the intuitionistic fuzzy decision matrix. The intuitionistic fuzzy entropy method was utilized to obtain the objective weights of evaluation criteria. The alternative weapon systems were ranked according to the basic concept of extended VIKOR method. A case study of air-to-ground guided missile selection problem for UCAV and a sensitivity analysis were given to verify the feasibility and stability of the proposed model. A comparative analysis with intuitionistic fuzzy TOPSIS method shows the superiority of the proposed method.

Key words: weapon selection, extended VIKOR method, intuitionistic fuzzy weighted averaging (IFWA) operator, multi-attribute group decisionmaking, intuitionistic fuzzy entropy

CLC Number:

TP391.9

Yang Shanliang, Wang Peng, Li Ge, Huang Kedi. Group Decision Making Model for Weapon Selection Using Extended VIKOR Method under Intuitionistic Fuzzy Environment[J]. Journal of System Simulation, 2015, 27(9): 2169-2175.

References

[1] 刘明星. 基于多属性决策的海洋环境下装备优选方法研究 [D]. 长沙: 国防科学技术大学, 2009.
[2] Dagdeviren M, Yavuz S, Kilin N.Weapon selection using the AHP and TOPSIS methods under fuzzy environment[J]. Expert Systems with Applications(S0957-4174), 2009, 36(3): 8143-8151.
[3] Lee J, Kang S, Rosenberger J, et al. A hybrid approach of goal programming for weapon systems selection[J]. Computers & Industrial Engineering (S0360-8352), 2010, 58(2): 521-527.
[4] 陶英歌, 罗红英. 基于灰色理论的防空导弹武器系统优选模型[J]. 装备指挥技术学院学报, 2006, 17(5): 115-117.
[5] 徐明德, 黄振和, 汪俊良. 电子对抗装备体系多目标决策ELECTRE优选模型[J]. 舰船电子工程, 2005, 25(6): 11-13.
[6] 袁宇, 关涛, 闫相斌, 等. 基于混合VIKOR方法的供应商选择决策模型[J]. 控制与决策, 2014, 29(3): 551-560.
[7] 张市芳. 直觉模糊多属性群决策的VIKOR方法[J]. 西安工业大学学报, 2015, 35(3): 182-185.
[8] 刘守生, 许大伟, 白崧廷. 权重为直觉模糊数的直觉模糊多属性群决策方法[J]. 数学的实践与认识, 2014, 44(24): 213-219.
[9] 胡芳, 刘志华, 李树丞. 基于熵权法和VIKOR法的公共工程项目风险评价研究[J]. 湖南大学学报(自然科学版), 2012, 39(4): 83-86.
[10] 张震, 郭崇慧. 一种基于二元语义信息处理的多属性群决策方法[J]. 控制与决策, 2011, 26(12): 1881-1885.
[11] 高明美, 孙涛, 朱建军. 一种改进的直觉模糊熵公理化定义和构造公式[J]. 控制与决策, 2014, 29(3): 470-474.
[12] 林晓华, 冯毅雄, 谭建荣, 等. 基于改进DEMATEL- VIKOR混合模型的产品概念方案评价[J]. 计算机集成制造系统, 2011, 17(12): 2552-2561.
[13] 张翼麟, 蒋琪, 文苏丽, 等. 国外无人机载空地导弹发展现状及性能分析[J]. 战术导弹技术, 2013, (5): 16-19.
[14] 刘亚丽, 张元鑫, 李红波. 项目投资决策信息不完全直觉模糊的TOPSIS法[J]. 昆明理工大学学报(自然科学版), 2015, 40(1): 101-106.

[1]	Dong Zhiming, Hu Zhongqi, Dai Haoran, Gao Jiancheng. An Automated Generation Method for Combat Simulation Scenarios Based on Large Language Models [J]. Journal of System Simulation, 2026, 38(5): 1129-1145.
[2]	Li Xiaonan, Chao Tao, Ma Ping, Yang Ming, Wang Yuxuan. Robust Identification of Black-box Nonlinear SSM Using Expectation-maximization [J]. Journal of System Simulation, 2026, 38(5): 1146-1158.
[3]	Liu Yingang, Ma Ming, Zhang Ronghua. Dynamic Task Planning for Wargaming Based on Large Language Models [J]. Journal of System Simulation, 2026, 38(5): 1187-1204.
[4]	Su Hongjia, Zhang Cheng, Liu Fei. SoS Effectiveness Evaluation Method Based on Fuzzy Functional Dependency Network Analysis [J]. Journal of System Simulation, 2026, 38(5): 1224-1238.
[5]	Mei Huawei, Yang Penghui, Yu Yang. Ultra-short-term Photovoltaic Power Prediction Based on Improved PatchTST Considering Data Drift [J]. Journal of System Simulation, 2026, 38(5): 1239-1254.
[6]	Li Quan, Su Peng, Wan Haiying, Zhang Chengxi, He Zhijian, Ni Yiyang, Zhao Zhonggai, Liu Fei. Modeling of Penicillin Fermentation Process Based on a Multi-stage LHS-EPRCC Method [J]. Journal of System Simulation, 2026, 38(5): 1255-1276.
[7]	Zhou Zicong, Zeng Junjie, Hu Yue, Zhu Zhengqiu, Yin Quanjun. Multi-agent Reinforcement Learning Method for Wargame Simulation Based on Suboptimal Demonstration Guidance [J]. Journal of System Simulation, 2026, 38(5): 1277-1289.
[8]	Shi Min, Guo Shisheng, Wang Suqin, Li Zhaoxin, Zhu Dengming. Annotation-free 6-DoF Grasp Detection Method Integrating Physical and Geometric Priors [J]. Journal of System Simulation, 2026, 38(5): 1290-1302.
[9]	Jiang Yanji, Xiao Xingyi, Dong Hao, Yu Miao, Huang Jinshan, Liu Daqian, Fei Bowen. Detection Method for 3D Lanes Based on Graph Relationship Optimization Integrating Point and Lane Features [J]. Journal of System Simulation, 2026, 38(5): 1303-1319.
[10]	Zhang Xin, Zhang Ping, Zhang Chen, Liu Wei, Han Boyang. Research on Calculation Model of Excavation Resistance Under Heterogeneous Soil Conditions [J]. Journal of System Simulation, 2026, 38(5): 1320-1332.
[11]	Wang Wei, Liu Dong, Cui Xinhao, Li Bo, Xiao Yiyong, Ren Yi. Multi-level Digital Model of Dynamic Earned Value Management for Complex Engineering Projects and Its Applications [J]. Journal of System Simulation, 2026, 38(5): 1350-1364.
[12]	Peng Lijun, Su Tingqi, Liu Peijin, He Lin, Zhou Xiewu, Zhang Minxin. Detection Method for Laboratory PPE Compliance Wearing Based on Human Key Points [J]. Journal of System Simulation, 2026, 38(5): 1365-1382.
[13]	Teng Jing, Tong Wencong, Zhang Zhongjie, Yao Xing, Li Junxian. Automatic Speed Guidance Method and Simulation Evaluation for Trams at Intersections [J]. Journal of System Simulation, 2026, 38(5): 1426-1439.
[14]	Jiang Shengchao, Pei Yunqing, Zhai Hongying, Wu Guojian, Gao Fang. Power Flow Calculation Based on Block-encoded Adiabatic Quantum Newton-Raphson Method [J]. Journal of System Simulation, 2026, 38(5): 1453-1465.
[15]	Qin Lang, Xie Jiacheng, Qiao Xiaojun, Wang Xuewen, Xiao Zhijie. Robot Trajectory Planning and Adjustment Method for Abnormal Pose of Actuator [J]. Journal of System Simulation, 2026, 38(5): 1466-1483.