基于IVSFS的作战威胁人机协同评估框架

doi:10.12305/j.issn.1001-506X.2025.06.14

摘要/Abstract

摘要：

为应对人工智能时代作战样式的变化带来的不确定性, 提出一种基于区间值球形模糊集(interval-value spherical fuzzy set, IVSFS)的作战威胁人机协同评估框架。IVSFS通过隶属度、非隶属度、犹豫度和弃权度的区间数来更加详细地描述决策信息。首先, 提出一种将多态时序区间数融合为IVSFS的方法, 来处理目标的客观数据; 然后, 通过模糊术语集获取专家对目标主观属性的IVSFS; 针对两套数据, 通过模糊熵获取指标权重, 并建立基于灰色关联度分析-累计前景理论-逼近理想解排序法的评估框架来对目标的威胁程度进行人机协同的评估与决策。仿真结果表明, 所提方法具有可行性与有效性, 能够综合考虑目标的固有属性与动态特征, 更符合作战实际。

关键词: 区间球形模糊集, 人机协同, 多态数据融合, 威胁评估

Abstract:

In response to the uncertainty brought about by different styles of warfare in the era of artificial intelligence, a human-machine collaborative assessment framework of combat threat based on interval-value spherical fuzzy set (IVSFS) is proposed. IVSFS describes decision information in more detail by membership, non-membership, hesitation, and abstention in form of interval numbers. Firstly, a method is proposed to fuse polymorphic temporal interval numbers into IVSFS to process the objective data of the target. Then, the subjective attributes of the target are obtained by experts through the use of a fuzzy terminology set to generate IVSFS. Based on two sets of data, fuzzy entropy is used to obtain indicator weights and establishes an evaluation framework based on grey relation analysis-cumulative prospect theory-technique for order preference by similarity to ideal solution (GRA-CPT-TOPSIS) to assess the threat level of the target through human-machine collaboration. Simulation results show that the proposed method is feasible and effective in comprehensively considering the inherent attributes and dynamic characteristics of the target, making it more suitable for practical warfare scenarios.

Key words: interval-value spherical fuzzy set (IVSFS), human-machine collaboration, polymorphic data fusion, threat assessment

中图分类号:

V271

胡崇爽, 王纪凯, 李明浩, 豆亚杰, 姜江. 基于IVSFS的作战威胁人机协同评估框架[J]. 系统工程与电子技术, 2025, 47(6): 1855-1866.

Chongshuang HU, Jikai WANG, Minghao LI, Yajie DOU, Jiang JIANG. Combat threat human-machine collaborative assessment framework based on IVSFS[J]. Systems Engineering and Electronics, 2025, 47(6): 1855-1866.

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参考文献 30

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语言术语	表述(缩写)	($ \left[u_{y_{i j}^i}^L(x), u_{y_{i j}^i}^U(x)\right], \left[v_{y_{i j}^i}^L(x), v_{y_{i j}^i}^U(x)\right], \left[\pi_{y_{i j}^i}^L(x), \pi_{y_{i j}^i}^U(x)\right]$)
绝对更重要	Absolutely more importance (AMI)	([0.85, 0.95], [0.10, 0.15], [0.05, 0.15])
非常重要	Very high importance (VHI)	([0.75, 0.85], [0.15, 0.20], [0.15, 0.20])
很重要	High importance (HI)	([0.65, 0.75], [0.20, 0.25], [0.20, 0.25])
稍微更重要	Slightly more importance (SMI)	([0.55, 0.65], [0.25, 0.30], [0.25, 0.30])
相等重要	Equally importance (EI)	([0.50, 0.55], [0.45, 0.55], [0.30, 0.40])
稍微不重要	Slightly low importance (SLI)	([0.25, 0.30], [0.55, 0.65], [0.25, 0.30])
不重要	Low importance (LI)	([0.20, 0.25], [0.65, 0.75], [0.20, 0.25])
非常不重要	Very low importance (VLI)	([0.15, 0.20], [0.75, 0.85], [0.15, 0.20])
绝对不重要	Absolutely low importance (ALI)	([0.10, 0.15], [0.85, 0.95], [0.05, 0.15])

U	T	距离/m	空袭高度/m	速度/(km/h)	航向角/(°)
u₁	t₁	[300, 320]	[700, 800]	[110, 150]	[6, 10]
	t₂	[280, 320]	[820, 850]	[320, 350]	[12, 16]
	t₃	[150, 200]	[1 500, 1 700]	[350, 500]	[3, 6]
	t₄	[520, 550]	[1 200, 1 300]	[280, 350]	[12, 18]
	t₅	[800, 850]	[3 000, 3 500]	[250, 300]	[18, 25]
u₂	t₁	[300, 320]	[720, 820]	[100, 130]	[6, 12]
	t₂	[290, 320]	[800, 850]	[310 ,350]	[12, 16]
	t₃	[100, 160]	[1 500, 1 800]	[340, 500]	[3, 5]
	t₄	[510, 550]	[1 100, 1 300]	[300, 350]	[14, 20]
	t₅	[790, 850]	[3 000, 3 600]	[260, 300]	[16, 25]
u₃	t₁	[310, 320]	[750, 820]	[100, 150]	[8, 10]
	t₂	[290, 300]	[800, 850]	[310, 350]	[12, 16]
	t₃	[110, 180]	[1 600, 1 800]	[380, 500]	[3, 6]
	t₄	[510, 540]	[1 200, 1 400]	[300, 360]	[12, 18]
	t₅	[820, 860]	[2 800, 3 200]	[260, 300]	[16, 24]

T	距离/m	空袭高度/m	速度(km/h)	航向角/(°)
t₁	< [0.28, 0.36], [0.52, 0.58], [0.04, 0.05]>	< [0.55, 0.57], [0.28, 0.31], [0.04, 0.05]>	< [0.21, 0.24], [0.86, 0.87], [0.04, 0.05]>	< [0.15, 0.27], [0.40, 0.56], [0.03, 0.06]>
t₂	< [0.28, 0.36], [0.49, 0.57], [0.04, 0.06]>	< [0.53, 0.55], [0.36, 0.39], [0.05, 0.06]>	< [0.55, 0.57], [0.59, 0.60], [0.04, 0.05]>	< [0.11, 0.17], [0.70, 0.71], [0.04, 0.06]>
t₃	< [0.53, 0.58], [0.05, 0.26], [0.04, 0.06]>	< [0.25, 0.27], [0.66, 0.68], [0.04, 0.07]>	< [0.78, 0.81], [0.52, 0.56], [0.04, 0.05]>	< [0.46, 0.66], [0.17, 0.80], [0.05, 0.06]>
t₄	< [0.16, 0.21], [0.73, 0.75], [0.05, 0.07]>	< [0.34, 0.35], [0.54, 0.58], [0.05, 0.07]>	< [0.56, 0.57], [0.61, 0.64], [0.04, 0.06]>	< [0.09, 0.13], [0.70, 0.78], [0.05, 0.07]>
t₅	< [0.10, 0.14], [0.82, 0.84], [0.05, 0.06]>	< [0.13, 0.13], [0.83, 0.83], [0.04, 0.06]>	< [0.47, 0.49], [0.66, 0.68], [0.04, 0.05]>	< [0.07, 0.11], [0.78, 0.80], [0.06, 0.06]>

E	T	类型	侦察	干扰	打击	防御
e₁	t₁	SMI	SMI	HI	SLI	SMI
	t₂	SLI	VHI	VLI	ALI	SML
	t₃	VHI	VLI	SLI	AMI	EI
	t₄	EI	SMI	EI	SMI	SLI
	t₅	HI	LI	LI	HI	VHI
e₂	t₁	HI	SMI	SMI	HI	EI
	t₂	SMI	AMI	EI	VLI	LI
	t₃	VHI	VLI	VLI	VHI	AMI
	t₄	SMI	EI	HI	EI	SMI
	t₅	VHI	EI	HI	EI	EI
e₃	t₁	SMI	EI	HI	EI	EI
	t₂	EI	VHI	HI	VLI	LI
	t₃	VHI	LI	VLI	VHI	VHI
	t₄	SMI	SMI	HI	EI	SLI
	t₅	HI	VHI	VHI	SMI	EI

e	t₁	t₂	t₃	t₄	t₅	距离类型
e₁	0.06	0.12	0.07	0.07	0.15	DGWMD_i^k
e₂	0.05	0.06	0.03	0.05	0.07
e₃	0.03	0.07	0.02	0.04	0.08
e₁	0.07	0.14	0.07	0.09	0.17	DGBD_i^k
e₂	0.03	0.09	0.04	0.03	0.14
e₃	0.08	0.10	0.05	0.06	0.08
e₁	0.05	0.06	0.04	0.03	0.08	DGWD_i^k
e₂	0.08	0.11	0.06	0.09	0.11
e₃	0.04	0.11	0.05	0.06	0.17