基于Vague拓扑融合和改进博弈论的雷达侦察系统作战效能评估

doi:10.12305/j.issn.1001-506X.2025.11.18

Abstract

Abstract:

Aiming at the problems of fuzzy evaluation results, poor adaptability of evaluation methods, and difficulty in characterization and quantification of evaluation index in traditional effectiveness evaluation, an evaluation method based on Vague topology fusion and improved game theory is proposed. Based on the reasonable construction of the evaluation index system, the method designs the fuzzy analytic hierarchy process of subjective weighting method and the criteria importance through intercriteria correlation of objective weighting method to obtain the combined weighting based on the improved game theory, and then puts forward the Vague topology fusion theory and establishes a comprehensive assessment model. Example calculation results show that the method better solves the difficult problems in the effectiveness evaluation. The method proposed provides a better methodological guideline for the effectiveness evaluation of radar reconnaissance system.

Key words: Vague topology fusion, improved game theory, radar reconnaissance system, effectiveness evaluation

CLC Number:

TN 974

Ziqiang ZHU, Songtao LIU, Ruihui PENG. Operational effectiveness evaluation of radar reconnaissance system based on Vague topology fusion and improved game theory[J]. Systems Engineering and Electronics, 2025, 47(11): 3699-3707.

Figures/Tables 11

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References 31

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目标层	准则层	指标层
舰载雷达侦察系统效能G	信号截获能力N₁	侦察灵敏度C₁₁
		方位覆盖范围C₁₂
		俯仰角覆盖范围C₁₃
		频率覆盖范围C₁₄
	信号测量能力N₂	测频精度C₂₁
		测向精度C₂₂
		脉宽测量精度C₂₃
		重频测量精度C₂₄
	信号处理能力N₃	识别能力C₃₁
		截获时间C₃₂
		信号密度C₃₃

准则层	指标层	专家1	专家2	专家3
信号处理能力N₃	识别能力C₃₁	1	1.5	3.5
	截获时间C₃₂	0.75	1	2.5
	信号密度C₃₃	0.35	0.42	1

准则层	指标层	专家1	专家2	专家3	专家4
信号处理能力N₃	识别能力C₃₁	1	1.5	3.5	0.82
	截获时间C₃₂	0.75	1	2.5	0.75
	信号密度C₃₃	0.35	0.42	1	1

目标层	准则层	权重	指标层	权重
舰载雷达侦察系统效能G	信号截获能力N₁	0.304	侦察灵敏度C₁₁	0.311
			方位覆盖范围C₁₂	0.182
			俯仰角覆盖范围C₁₃	0.271
			频率覆盖范围C₁₄	0.236
	信号测量能力N₂	0.365	测频精度C₂₁	0.284
			测向精度C₂₂	0.281
			脉宽测量精度C₂₃	0.205
			重频测量精度C₂₄	0.230
	信号处理能力N₃	0.331	识别能力C₃₁	0.461
			截获时间C₃₂	0.298
			信号密度C₃₃	0.241

准则层	指标层	优	良	一般	较差	差
N₁	C₁₁	[0.4, 0.6]	[0.3, 0.5]	[0.1, 0.3]	[0.0, 0.2]	[0.0, 0.2]
	C₁₂	[0.9, 0.9]	[0.1, 0.1]	[0.0, 0.0]	[0.0, 0.0]	[0.0, 0.0]
	C₁₃	[0.3, 0.5]	[0.3, 0.5]	[0.2, 0.4]	[0.0, 0.2]	[0.0, 0.2]
	C₁₄	[0.2, 0.3]	[0.3, 0.4]	[0.4, 0.5]	[0.0, 0.1]	[0.0, 0.1]
N₂	C₂₁	[0.5, 0.6]	[0.3, 0.4]	[0.2, 0.3]	[0.0, 0.1]	[0.0, 0.1]
	C₂₂	[0.2, 0.3]	[0.5, 0.6]	[0.3, 0.4]	[0.0, 0.1]	[0.0, 0.1]
	C₂₃	[0.3, 0.5]	[0.2, 0.4]	[0.2, 0.4]	[0.1, 0.3]	[0.0, 0.2]
	C₂₄	[0.2, 0.3]	[0.5, 0.6]	[0.2, 0.3]	[0.0, 0.3]	[0.0, 0.2]
N₃	C₃₁	[0.1, 0.3]	[0.5, 0.7]	[0.2, 0.4]	[0.0, 0.2]	[0.0, 0.2]
	C₃₂	[0.6, 0.6]	[0.3, 0.3]	[0.1, 0.1]	[0.0, 0.0]	[0.0, 0.0]
	C₃₃	[0.1, 0.2]	[0.2, 0.3]	[0.4, 0.5]	[0.2, 0.4]	[0.0, 0.1]

Operational effectiveness evaluation of radar reconnaissance system based on Vague topology fusion and improved game theory

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方法	组合赋权	指标关联度	主观权重	客观权重
本文方法	兼顾主客观权重	考虑关联度	考虑模糊值	未出现极端权重
文献[21]	未使用	未考虑	未考虑模糊值	未使用
文献[22]	过度依赖主观权重	未考虑	考虑区间值	出现极端权重
文献[25]	过度依赖主观权重	未考虑	考虑区间值	主客观权重偏差较大

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准则层	指标层	优	良	一般	较差	差
N₁	C₁₃	[0.42, 0.59]	[0.28, 0.45]	[0.13, 0.3]	[0.0, 0.17]	[0.0, 0.17]
	C₁₂	[0.72, 0.77]	[0.16, 0.21]	[0.07, 0.12]	[0.0, 0.05]	[0.0, 0.05]
	C₁₃	[0.36, 0.53]	[0.28, 0.45]	[0.19, 0.36]	[0.0, 0.17]	[0.0, 0.17]
	C₁₄	[0.3, 0.41]	[0.28, 0.39]	[0.31, 0.42]	[0.0, 0.11]	[0.0, 0.11]
N₂	C₂₁	[0.42, 0.53]	[0.33, 0.44]	[0.21, 0.32]	[0.01, 0.14]	[0.0, 0.12]
	C₂₂	[0.24, 0.35]	[0.45, 0.56]	[0.27, 0.38]	[0.01, 0.14]	[0.0, 0.12]
	C₂₃	[0.3, 0.47]	[0.27, 0.44]	[0.21, 0.38]	[0.07, 0.26]	[0.0, 0.18]
	C₂₄	[0.24, 0.35]	[0.45, 0.56]	[0.21, 0.32]	[0.01, 0.26]	[0.0, 0.18]
N₃	C₃₁	[0.15, 0.32]	[0.45, 0.62]	[0.21, 0.38]	[0.02, 0.2]	[0.0, 0.17]
	C₃₂	[0.5, 0.53]	[0.31, 0.34]	[0.14, 0.17]	[0.02, 0.06]	[0.0, 0.03]
	C₃₃	[0.15, 0.25]	[0.24, 0.34]	[0.35, 0.45]	[0.16, 0.34]	[0.0, 0.1]

准则层	优	良	一般	较差	差
N₁	[0.430, 0.564]	[0.258, 0.392]	[0.178, 0.312]	[0.000, 0.134]	[0.000, 0.134]
N₂	[0.303, 0.426]	[0.380, 0.501]	[0.227, 0.349]	[0.022, 0.192]	[0.000, 0.146]
N₃	[0.254, 0.366]	[0.358, 0.469]	[0.223, 0.334]	[0.054, 0.192]	[0.000, 0.090]