Acta Armamentarii ›› 2025, Vol. 46 ›› Issue (2): 240333-.doi: 10.12382/bgxb.2024.0333
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ZHAO Qingtian, LI Liwei*(), ZHANG Yangming, HOU Lizhi, LEI Zhen
Received:
2024-04-28
Online:
2025-02-28
Contact:
LI Liwei
CLC Number:
ZHAO Qingtian, LI Liwei, ZHANG Yangming, HOU Lizhi, LEI Zhen. Analysis of Weapon System Capability Requirements Using an HF-DEMATEL-TOPSIS-based Enhanced QFD Method[J]. Acta Armamentarii, 2025, 46(2): 240333-.
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CRs | 装备体系任务需求 | ECs | 装备体系能力需求 |
---|---|---|---|
CR1 | 电子侦察干扰 | EC1 | 多源情报智能融合 |
CR2 | 人机协同突击 | EC2 | 智能精确穿透打击 |
CR3 | 反智能作战 | EC3 | 任务智能规划 |
CR4 | 智能自主攻击 | EC4 | 快速隐蔽机动 |
CR5 | 隐蔽区域渗透清剿 | EC5 | 集群自主协同 |
EC6 | 电磁智能对抗 | ||
EC7 | 目标自主识别 | ||
EC8 | 战场综合防护 | ||
EC9 | 态势自主感知 |
Table 1 Equipment system requirement elements and QFD
CRs | 装备体系任务需求 | ECs | 装备体系能力需求 |
---|---|---|---|
CR1 | 电子侦察干扰 | EC1 | 多源情报智能融合 |
CR2 | 人机协同突击 | EC2 | 智能精确穿透打击 |
CR3 | 反智能作战 | EC3 | 任务智能规划 |
CR4 | 智能自主攻击 | EC4 | 快速隐蔽机动 |
CR5 | 隐蔽区域渗透清剿 | EC5 | 集群自主协同 |
EC6 | 电磁智能对抗 | ||
EC7 | 目标自主识别 | ||
EC8 | 战场综合防护 | ||
EC9 | 态势自主感知 |
变量 | CR1 | CR2 | CR3 | CR4 | CR5 |
---|---|---|---|---|---|
CR1 | 0 | {0.6} | {0.4,0.5} | {0.4,0.6} | {0.3,0.1} |
CR2 | {0.5} | 0 | {0.7,0.8} | {0.6} | {0.6} |
CR3 | {0.4} | {0.6} | 0 | {0.3} | {0.2,0.4, 0.5} |
CR4 | {0.6,0.7} | {0.4,0.5, 0.6,0.7} | {0.5} | 0 | {0.6} |
CR5 | {0.3,05} | {0.7} | {0.4} | {0.4,0.6} | 0 |
Table 2 Integrated hesitant fuzzy direct-influencet matrix
变量 | CR1 | CR2 | CR3 | CR4 | CR5 |
---|---|---|---|---|---|
CR1 | 0 | {0.6} | {0.4,0.5} | {0.4,0.6} | {0.3,0.1} |
CR2 | {0.5} | 0 | {0.7,0.8} | {0.6} | {0.6} |
CR3 | {0.4} | {0.6} | 0 | {0.3} | {0.2,0.4, 0.5} |
CR4 | {0.6,0.7} | {0.4,0.5, 0.6,0.7} | {0.5} | 0 | {0.6} |
CR5 | {0.3,05} | {0.7} | {0.4} | {0.4,0.6} | 0 |
变量 | CR1 | CR2 | CR3 | CR4 | CR5 |
---|---|---|---|---|---|
CR1 | 0 | 0.6 | 0.45 | 0.5 | 0.2 |
CR2 | 0.5 | 0 | 0.75 | 0.6 | 0.6 |
CR3 | 0.4 | 0.6 | 0 | 0.3 | 0.376 |
CR4 | 0.65 | 0.535 | 0.5 | 0 | 0.6 |
CR5 | 0.4 | 0.35 | 0.4 | 0.5 | 0 |
Table 3 Crisp direct-influence matrix
变量 | CR1 | CR2 | CR3 | CR4 | CR5 |
---|---|---|---|---|---|
CR1 | 0 | 0.6 | 0.45 | 0.5 | 0.2 |
CR2 | 0.5 | 0 | 0.75 | 0.6 | 0.6 |
CR3 | 0.4 | 0.6 | 0 | 0.3 | 0.376 |
CR4 | 0.65 | 0.535 | 0.5 | 0 | 0.6 |
CR5 | 0.4 | 0.35 | 0.4 | 0.5 | 0 |
变量 | CR1 | CR2 | CR3 | CR4 | CR5 |
---|---|---|---|---|---|
CR1 | 0.631 | 0.87 | 0.835 | 0.784 | 0.666 |
CR2 | 0.973 | 0.857 | 1.101 | 0.981 | 0.943 |
CR3 | 0.735 | 0.832 | 0.644 | 0.695 | 0.686 |
CR4 | 0.972 | 0.989 | 0.984 | 0.745 | 0.9 |
CR5 | 0.724 | 0.745 | 0.763 | 0.738 | 0.539 |
Table 4 The total-influence matrix
变量 | CR1 | CR2 | CR3 | CR4 | CR5 |
---|---|---|---|---|---|
CR1 | 0.631 | 0.87 | 0.835 | 0.784 | 0.666 |
CR2 | 0.973 | 0.857 | 1.101 | 0.981 | 0.943 |
CR3 | 0.735 | 0.832 | 0.644 | 0.695 | 0.686 |
CR4 | 0.972 | 0.989 | 0.984 | 0.745 | 0.9 |
CR5 | 0.724 | 0.745 | 0.763 | 0.738 | 0.539 |
CRs | 影响度 | 被影响度 | 中心度 | 原因度 | 权重 | 排序 |
---|---|---|---|---|---|---|
CR1 | 3.786 | 4.034 | 7.82 | -0.248 | 0.192 | 4 |
CR2 | 4.855 | 4.293 | 9.148 | 0.562 | 0.225 | 1 |
CR3 | 3.592 | 4.327 | 7.919 | -0.735 | 0.195 | 3 |
CR4 | 4.589 | 3.942 | 8.531 | 0.647 | 0.21 | 2 |
CR5 | 3.508 | 3.735 | 7.243 | -0.227 | 0.178 | 5 |
Table 5 “Four degrees”and weighted ranking of various mission requirements in the equipment system
CRs | 影响度 | 被影响度 | 中心度 | 原因度 | 权重 | 排序 |
---|---|---|---|---|---|---|
CR1 | 3.786 | 4.034 | 7.82 | -0.248 | 0.192 | 4 |
CR2 | 4.855 | 4.293 | 9.148 | 0.562 | 0.225 | 1 |
CR3 | 3.592 | 4.327 | 7.919 | -0.735 | 0.195 | 3 |
CR4 | 4.589 | 3.942 | 8.531 | 0.647 | 0.21 | 2 |
CR5 | 3.508 | 3.735 | 7.243 | -0.227 | 0.178 | 5 |
变量 | CR1 | CR2 | CR3 | CR4 | CR5 |
---|---|---|---|---|---|
EC1 | {0.85,0.78,0.75} | {0.9,0.85,0.75} | {0.85,0.8,0.7} | {0.9,0.8} | {0.9,0.85,0.7} |
EC2 | {0.8,0.7} | {0.75,0.7,0.5} | {0.8,0.75} | {0.75,0.7,0.55} | {0.8,0.65,0.6} |
EC3 | {0.85,0.8} | {0.75,0.7,0.6} | {0.9,0.85,0.8} | {0.85,0.8} | {0.9,0.85,0.7} |
EC4 | {0.75,0.6,0.4} | {0.75,0.7,0.7} | {0.75,0.7,0.5} | {0.7,0.5} | {0.7,0.65,0.4} |
EC5 | {0.9,0.8} | {0.75,0.7,0.8} | {0.85,0.75,0.7} | {0.9,0.8,0.7} | {0.9,0.85,0.7} |
EC6 | {0.75,0.5} | {0.75,0.7,0.9} | {0.8,0.65,0.6} | {0.8,0.7} | {0.75,0.5,0.4} |
EC7 | {0.9,0.8} | {0.75,0.7,0.10} | {0.9,0.8} | {0.9,0.85,0.8} | {0.9,0.8,0.75} |
EC8 | {0.75,0.6,0.55} | {0.75,0.7,0.11} | {0.7,0.6,0.4} | {0.7,0.6} | {0.5,0.4} |
EC9 | {0.85,0.8} | {0.75,0.7,0.12} | {0.85,0.8} | {0.9,0.85,0.8} | {0.9,0.85,0.8} |
Table 6 Integrated hesitant fuzzy association matrix
变量 | CR1 | CR2 | CR3 | CR4 | CR5 |
---|---|---|---|---|---|
EC1 | {0.85,0.78,0.75} | {0.9,0.85,0.75} | {0.85,0.8,0.7} | {0.9,0.8} | {0.9,0.85,0.7} |
EC2 | {0.8,0.7} | {0.75,0.7,0.5} | {0.8,0.75} | {0.75,0.7,0.55} | {0.8,0.65,0.6} |
EC3 | {0.85,0.8} | {0.75,0.7,0.6} | {0.9,0.85,0.8} | {0.85,0.8} | {0.9,0.85,0.7} |
EC4 | {0.75,0.6,0.4} | {0.75,0.7,0.7} | {0.75,0.7,0.5} | {0.7,0.5} | {0.7,0.65,0.4} |
EC5 | {0.9,0.8} | {0.75,0.7,0.8} | {0.85,0.75,0.7} | {0.9,0.8,0.7} | {0.9,0.85,0.7} |
EC6 | {0.75,0.5} | {0.75,0.7,0.9} | {0.8,0.65,0.6} | {0.8,0.7} | {0.75,0.5,0.4} |
EC7 | {0.9,0.8} | {0.75,0.7,0.10} | {0.9,0.8} | {0.9,0.85,0.8} | {0.9,0.8,0.75} |
EC8 | {0.75,0.6,0.55} | {0.75,0.7,0.11} | {0.7,0.6,0.4} | {0.7,0.6} | {0.5,0.4} |
EC9 | {0.85,0.8} | {0.75,0.7,0.12} | {0.85,0.8} | {0.9,0.85,0.8} | {0.9,0.85,0.8} |
变量 | D(hi,h+) | D(hi,h-) | C(hi) | 权重 | 排序 |
---|---|---|---|---|---|
EC1 | 0.0686 | 0.2714 | 0.7982 | 0.1401 | 1 |
EC2 | 0.1431 | 0.1968 | 0.5790 | 0.1016 | 6 |
EC3 | 0.0746 | 0.2666 | 0.7814 | 0.1371 | 3 |
EC4 | 0.2164 | 0.1598 | 0.4248 | 0.0745 | 8 |
EC5 | 0.0805 | 0.2525 | 0.7583 | 0.1330 | 4 |
EC6 | 0.1713 | 0.1773 | 0.5086 | 0.0892 | 7 |
EC7 | 0.1117 | 0.2892 | 0.7214 | 0.1266 | 5 |
EC8 | 0.2805 | 0.1473 | 0.3443 | 0.0604 | 9 |
EC9 | 0.0761 | 0.2755 | 0.7836 | 0.1375 | 2 |
Table 7 Relative closeness and weighted ranking of various capability requirements in the equipment system
变量 | D(hi,h+) | D(hi,h-) | C(hi) | 权重 | 排序 |
---|---|---|---|---|---|
EC1 | 0.0686 | 0.2714 | 0.7982 | 0.1401 | 1 |
EC2 | 0.1431 | 0.1968 | 0.5790 | 0.1016 | 6 |
EC3 | 0.0746 | 0.2666 | 0.7814 | 0.1371 | 3 |
EC4 | 0.2164 | 0.1598 | 0.4248 | 0.0745 | 8 |
EC5 | 0.0805 | 0.2525 | 0.7583 | 0.1330 | 4 |
EC6 | 0.1713 | 0.1773 | 0.5086 | 0.0892 | 7 |
EC7 | 0.1117 | 0.2892 | 0.7214 | 0.1266 | 5 |
EC8 | 0.2805 | 0.1473 | 0.3443 | 0.0604 | 9 |
EC9 | 0.0761 | 0.2755 | 0.7836 | 0.1375 | 2 |
CR | AHP方法 | HF-DEMATEL | ||
---|---|---|---|---|
权重 | 排序 | 权重 | 排序 | |
CR1 | 0.145 | 4 | 0.192 | 4 |
CR2 | 0.380 | 1 | 0.225 | 1 |
CR3 | 0.162 | 3 | 0.195 | 3 |
CR4 | 0.271 | 2 | 0.210 | 2 |
CR5 | 0.042 | 5 | 0.178 | 5 |
Table 8 Comparison of calculated results for CRs weight ranking
CR | AHP方法 | HF-DEMATEL | ||
---|---|---|---|---|
权重 | 排序 | 权重 | 排序 | |
CR1 | 0.145 | 4 | 0.192 | 4 |
CR2 | 0.380 | 1 | 0.225 | 1 |
CR3 | 0.162 | 3 | 0.195 | 3 |
CR4 | 0.271 | 2 | 0.210 | 2 |
CR5 | 0.042 | 5 | 0.178 | 5 |
变量 | 传统加权法 | HF-TOPSIS | ||
---|---|---|---|---|
权重 | 排序 | 权重 | 排序 | |
EC1 | 0.128 | 1 | 0.140 | 1 |
EC2 | 0.107 | 7 | 0.102 | 6 |
EC3 | 0.121 | 3 | 0.137 | 3 |
EC4 | 0.101 | 8 | 0.075 | 8 |
EC5 | 0.122 | 2 | 0.133 | 4 |
EC6 | 0.113 | 4 | 0.089 | 7 |
EC7 | 0.110 | 5 | 0.127 | 5 |
EC8 | 0.087 | 9 | 0.060 | 9 |
EC9 | 0.110 | 6 | 0.137 | 2 |
Table 9 Comparison of calculated results for ECs weight ranking
变量 | 传统加权法 | HF-TOPSIS | ||
---|---|---|---|---|
权重 | 排序 | 权重 | 排序 | |
EC1 | 0.128 | 1 | 0.140 | 1 |
EC2 | 0.107 | 7 | 0.102 | 6 |
EC3 | 0.121 | 3 | 0.137 | 3 |
EC4 | 0.101 | 8 | 0.075 | 8 |
EC5 | 0.122 | 2 | 0.133 | 4 |
EC6 | 0.113 | 4 | 0.089 | 7 |
EC7 | 0.110 | 5 | 0.127 | 5 |
EC8 | 0.087 | 9 | 0.060 | 9 |
EC9 | 0.110 | 6 | 0.137 | 2 |
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[1] | ZHANG Yi-hang, HOU Ming-shan. Multi-criteria Decision-making for Guidance System Design Parameters [J]. Acta Armamentarii, 2014, 35(1): 70-75. |
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