基于改进IFRS相似度和信息熵的反导作战目标威胁评估

doi:10.12305/j.issn.1001-506X.2022.04.20

摘要/Abstract

摘要：

针对现有反导目标威胁评估方法忽略目标属性犹豫度和权重并造成评估精度不高的问题, 引入直觉模糊粗糙集(intuitionistic fuzzy rough set, IFRS)理论, 提出基于改进IFRS相似度和信息熵的反导作战目标威胁评估方法。首先, 细分IFRS犹豫度, 提出改进的IFRS相似度模型, 并证明其性质。之后, 针对现有的IFRS信息熵存在与直觉事实不相符的问题, 提出基于余弦函数的IFRS信息熵, 确定目标属性权重。在此基础上, 构建并量化反导作战目标威胁评估体系, 并通过比较威胁目标的各个属性值与正、负理想解的相似度, 实现目标威胁排序。仿真实例验证了该方法的可行性和有效性, 可为不确定环境下反导作战威胁评估提供新的参考和尝试。

关键词: 直觉模糊粗糙集, 威胁评估, 相似度, 信息熵

Abstract:

The missile defense target threat assessment method based on improved similarity measure and information entropy of intuitionistic fuzzy rough sets(IFRS) is proposed which conquer the problem of low evaluation accuracy caused by ignoring the hesitancy and weight of target attributes. Firstly, by subdividing the hesitancy of IFRS, the improved IFRS similarity model is proposed, and its properties are proved. Secondly, aiming at the problem that the existing information entropy of IFRS is inconsistent with the intuitionistic fact, the information entropy of IFRS based on cosine function is presented to determine the weight of target attributes. Furthermore, the target threat assessment system is constructed and quantified, and the target threat ranking is achieved by comparing the similarity between the attribute values of the threat targets and the ideal solution. Finally, the simulation example shows the feasibility and effectiveness of the proposed method, which can provide a new attempt for the target threat assessment of missile defense operations in uncertain environment.

Key words: intuitionistic fuzzy rough sets, threat assessment, similarity measure, information entropy

中图分类号:

TP391

卢盈齐, 范成礼, 付强, 朱晓雯, 李威. 基于改进IFRS相似度和信息熵的反导作战目标威胁评估[J]. 系统工程与电子技术, 2022, 44(4): 1230-1238.

Yingqi LU, Chengli FAN, Qiang FU, Xiaowen ZHU, Wei LI. Missile defense target threat assessment based on improved similarity measure and information entropy of IFRS[J]. Systems Engineering and Electronics, 2022, 44(4): 1230-1238.

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IFRS	x₁			x₂
IFRS	赞成	反对	弃权	赞成	反对	弃权
A	4	1	3	5	2	3
B	3	2	3	4	1	3
C	3	0	5	4	1	5

目标层	指标层	指标属性	指标类型
弹道目标威胁评估	距离	定量	成本型
	速度	定量	效益型
	辐射温度	定量	效益型
	RCS	定量	成本型
	极化特性	定性	效益型

威胁度	IFRS	威胁度	IFRS
极大	〈0.85, 0.95, 0.15, 0.05〉	小	〈0.40, 0.50, 0.60, 0.50〉
很大	〈0.80, 0.90, 0.20, 0.10〉	较小	〈0.35, 0.45, 0.65, 0.55〉
较大	〈0.70, 0.80, 0.30, 0.20〉	很小	〈0.20, 0.30, 0.80, 0.70〉
大	〈0.60, 0.70, 0.40, 0.30〉	极小	〈0.10, 0.20, 0.90, 0.80〉
中	〈0.45, 0.60, 0.55, 0.35〉	-	-

目标	目标属性
目标	距离r₁	速度r₂	辐射温度r₃	RCS r₄	极化特性r₅
x₁	〈0.20, 0.30, 0.60, 0.10〉	〈0.30, 0.70, 0.40, 0.20〉	〈0.55, 0.65, 0.40, 0.25〉	〈0.25, 0.60, 0.50, 0.35〉	〈0.70, 0.80, 0.30, 0.20〉
x₂	〈0.30, 0.75, 0.50, 0.25〉	〈0.45, 0.75, 0.30, 0.20〉	〈0.70, 0.85, 0.30, 0.10〉	〈0.50, 0.85, 0.35, 0.10〉	〈0.45, 0.60, 0.55, 0.35〉
x₃	〈0.10, 0.80, 0.65, 0.15〉	〈0.30, 0.65, 0.40, 0.10〉	〈0.45, 0.60, 0.50, 0.25〉	〈0.55, 0.95, 0.25, 0.05〉	〈0.35, 0.45, 0.65, 0.55〉
x₄	〈0.25, 0.85, 0.15, 0.10〉	〈0.20, 0.70, 0.60, 0.30〉	〈0.50, 0.60, 0.45, 0.30〉	〈0.60, 0.80, 0.30, 0.15〉	〈0.80, 0.90, 0.20, 0.10〉
信息熵	0.975 6	0.992 8	0.998 8	0.994 3	0.999 8
属性权重	0.203 4	0.199 8	0.198 7	0.199 6	0.198 5

目标	目标属性
目标	距离r₁	速度r₂	辐射温度r₃	RCS r₄	极化特性r₅
x₁	〈0.040 7, 0.061 0, 0.122 0, 0.020 3〉	〈0.059 9, 0.139 8, 0.079 9, 0.039 9〉	〈0.109 3, 0.129 1, 0.079 5, 0.049 7〉	〈0.049 9, 0.119 7, 0.099 8, 0.069 8〉	〈0.138 9, 0.158 8, 0.059 5, 0.039 7〉
x₂	〈0.061 0, 0.152 5, 0.101 7, 0.050 8〉	〈0.089 9, 0.149 8, 0.059 9, 0.039 9〉	〈0.139 1, 0.168 9, 0.16 8 9, 0.019 8〉	〈0.099 8, 0.169 6, 0.06 9 8, 0.019 9〉	〈0.089 3, 0.119 1, 0.10 9 2, 0.069 5〉
x₃	〈0.020 3, 0.162 7, 0.132 2, 0.030 5〉	〈0.059 9, 0.129 9, 0.079 9, 0.199 9〉	〈0.089 4, 0.119 2, 0.099 3, 0.049 7〉	〈0.109 8, 0.189 6, 0.049 9, 0.099 8〉	〈0.069 5, 0.089 3, 0.129 0, 0.109 2〉
x₄	〈0.050 8, 0.172 9, 0.030 5, 0.020 3〉	〈0.039 9, 0.139 8, 0.119 9, 0.059 9〉	〈0.099 3, 0.119 2, 0.089 4, 0.168 9〉	〈0.119 7, 0.159 7, 0.059 9, 0.029 9〉	〈0.158 8, 0.178 6, 0.039 7, 0.019 8〉