基于RS-CRITIC的空战目标威胁评估

杨爱武; 李战武; 徐安; 吕跃; 奚之飞

doi:10.13700/j.bh.1001-5965.2019.0638

基于RS-CRITIC的空战目标威胁评估

doi: 10.13700/j.bh.1001-5965.2019.0638

空军工程大学航空工程学院, 西安 710038

详细信息

作者简介:
杨爱武  男, 硕士研究生。主要研究方向:火力指挥控制与评估工程

李战武  男, 博士, 教授。主要研究方向:航空火力指挥控制原理、智能作战

徐安  男, 博士, 讲师。主要研究方向:航空火力指挥控制原理、智能作战

吕跃  男, 硕士, 讲师。主要研究方向:智能作战、任务规划

奚之飞  男, 硕士研究生。主要研究方向:航空火力指挥控制原理

通讯作者:
李战武, E-mail:afeulzw@189.cn

中图分类号: TN97
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出版历程
- 收稿日期: 2019-12-22
- 录用日期: 2020-04-10
- 网络出版日期: 2020-12-20

Threat assessment of air combat target based on RS-CRITIC

Aeronautics Engineering College, Air Force Engineering University, Xi'an 710038, China

More Information

Corresponding author: LI Zhanwu, E-mail:afeulzw@189.cn

摘要

摘要:
针对不确定信息下的空战目标威胁评估问题，提出了一种基于粗糙集（RS）理论和指标重要性相关（CRITIC）法的目标威胁评估模型。首先，通过CRITIC法确定准确信息下的目标威胁值，利用数据挖掘（MD）启发式算法求解最佳分割集合，将目标威胁值离散化处理后替代粗糙集决策信息系统中的决策属性。其次，基于构建的完备粗糙集决策信息系统，通过决策矩阵实现属性约简和目标威胁评估最小决策规则提取。最后，将规则应用于不确定信息下的目标威胁评估。仿真结果表明：所提模型能够实现信息缺失下的目标威胁评估，减少了主观因素和先验知识的影响，扩展了粗糙集理论应用范围。
- 威胁评估 /
- 粗糙集(RS) /
- 指标重要性相关(CRITIC)法 /
- 决策规则 /
- 不确定信息
Abstract:
Aiming at the problem of air combat target threat assessment under uncertain information, a threat assessment model based on Rough Set (RS) and Criteria Importance Though Intercrieria Correlation (CRITIC) method is proposed. Firstly, the model determines the target threat value under accurate information by CRITIC and the optimal segmentation set is solved by Mining Data (MD) heuristic algorithm. After the threat value is discretized, it replaces the decision attribute in the rough set information system. Secondly, based on the complete rough set decision information system, attribute reduction and minimum decision rules extraction of target threat assessment are realized by decision matrix. Finally, the export rules are applied to target threat assessment under uncertain information. Simulation results show that proposed method can achieve the target threat assessment in the absence of information, and reduces the influence of subjective factors and prior knowledge, and expands the application of rough set theory.
- threat assessment /
- Rough Set (RS) /
- Criteria Importance Though Intercrieria Correlation (CRITIC) method /
- decision rule /
- uncertain information

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图 1 目标威胁因素模型

Figure 1. Target threat factor model

下载: 全尺寸图片幻灯片

图 2 目标威胁评估流程

Figure 2. Target threat assessment flowchart

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图 3 目标威胁值对比

Figure 3. Target threat comparison

下载: 全尺寸图片幻灯片

表 1 战术意图威胁值

Table 1. Tactical intention threat value

战术意图	攻击	干扰	掩护	规避
意图威胁值	0.8	0.5	0.3	0.1

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表 2 空战态势信息

Table 2. Air combat situation information

目标	机型	战术意图I	φ/(^°)	q/(°)	v/(m·s^-1)	D/km	h_d/km
1	F-16C	攻击	80	150	330	50	-1.5
2	F-16C	掩护	65	110	310	70	1.2
3	F-15E	掩护	-45	120	315	65	1.4
4	F-15E	干扰	-70	140	330	60	-0.7
5	F-5E	攻击	110	-120	340	50	-1.2
6	F-5E	干扰	85	-130	320	60	-0.5

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表 3 目标属性威胁值

Table 3. Target attribute threat value

目标		T_I	T_A	T_v	T_d	T_h
1	0.75	0.8	0.639	0.625	0.707	0.65
2	0.75	0.3	0.486	0.469	0.303	0.38
3	1	0.3	0.458	0.484	0.389	0.36
4	1	0.5	0.583	0.531	0.500	0.57
5	0.5	0.8	0.639	0.594	0.707	0.62
6	0.5	0.5	0.597	0.500	0.500	0.55

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表 4 属性权重

Table 4. Attribute weight

属性	a₁	a₂	a₃	a₄	a₅	a₆
权重	0.329	0.0807	0.164	0.135	0.142	0.149

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表 5 目标威胁值及决策属性值

Table 5. Target threat value and decision attribute value

目标	1	2	3	4	5	6
目标威胁值	0.857	0.307	0.406	0.75	0.804	0.543
决策属性值	5	0	1	3	4	2

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表 6 灰色关联度极大熵模型求解

Table 6. Grey relation maximum entropy model solution

属性	权重	目标	目标威胁值
a₁	0.305	1	0.922
a₂	0.149	2	0.261
a₃	0.152	3	0.354
a₄	0.125	4	0.717
a₅	0.131	5	0.883
a₆	0.138	6	0.525

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表 7 决策信息

Table 7. Decision information

U	条件属性C						决策属性值
U	a₁	a₂	a₃	a₄	a₅	a₆	决策属性值
x₁	2	3	4	2	4	4	5
x₂	2	1	1	1	1	1	0
x₃	4	1	1	1	2	1	1
x₄	4	2	2	2	2	3	3
x₅	1	3	4	4	4	4	4
x₆	1	2	3	2	2	2	2

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表 8 决策矩阵

Table 8. Decision matrix

U	x₁	x₂	x₃	x₄	x₅	x₆
x₁		a₂a₃a₄a₅a₆	a₁a₂a₃a₄a₅a₆	a₁a₂a₃a₅a₆	a₁a₄	a₁a₂a₃a₅a₆
x₂			a₁a₅	a₁a₂a₃a₄a₅a₆	a₁a₂a₃a₄a₅a₆	a₁a₂a₃a₄a₅a₆
x₃				a₂a₃a₄a₆	a₁a₂a₃a₄a₅a₆	a₁a₂a₃a₄a₆
x₄					a₁a₂a₃a₄a₅a₆	a₁a₃a₆
x₅						a₂a₃a₄a₅a₆
x₆

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表 9 目标威胁评估规则集

Table 9. Target threat assessment rule set

规则集	规则(属性类别，属性值)
规则集	规则前件	规则后件
1	(a₁, a₁(x_i))∧(a₂, a₂(x_i))	(D, D(x_i))
2	(a₁, a₁(x_i))∧(a₃, a₃(x_i))	(D, D(x_i))
3	(a₁, a₁(x_i))∧(a₄, a₄(x_i))	(D, D(x_i))
4	(a₁, a₁(x_i))∧(a₆, a₆(x_i))	(D, D(x_i))
5	(a₃, a₃(x_i))∧(a₄, a₄(x_i))∧(a₅, a₅(x_i))	(D, D(x_i))
6	(a₄, a₄(x_i))∧(a₅, a₅(x_i))∧(a₆, a₆(x_i))	(D, D(x_i))

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表 10 不确定空战态势信息

Table 10. Uncertain air combat situation information

目标	机型	I	φ/(°)	q/(°)	v/(m·s^-1)	D/km	h_d/km
1	F-16C	攻击	60	*	*	55	-0.85
2	F-15E	*	-65	145	300	*	-0.77
3	*	干扰	90	-135	345	53	*
4	F-15E	*	-55	140	325	62	-0.3

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表 11 离散化不确定空战态势信息

Table 11. Discrete uncertain air combat situation information

目标	a₁	a₂	a₃	a₄	a₅	a₆
1	2	3	*	*	3	3
2	4	*	2	1	*	3
3	*	2	4	4	4	*
4	4	*	2	2	2	2

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