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.

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