雷达抗干扰的多目标直觉模糊集矩阵对策模型

Multi-objective intuitionistic fuzzy set matrix gaming model for radar anti-jamming

针对雷达抗干扰在求解最优策略时存在支付值难以确定和对抗目标单一的问题,提出了基于多目标直觉模糊集矩阵对策的雷达抗干扰决策模型.首先利用直觉模糊语言变量描述复杂环境下的支付值,将多目标的雷达抗干扰问题转换为多个单目标的矩阵对策问题,并分析单目标对抗下的雷达单项效能;然后将多个单目标矩阵集结加权,通过线性规划求解雷达抗干扰的最优混合策略;最后给出了实例.实例分析表明该模型是有效、实用的,为雷达抗干扰博弈的研究提供了新的途径.

Aiming at such problems of radar anti-jamming as difficulty to determine the payment value and singularity of confrontation target when solving the optimal strategy of radar anti-jamming,this paper proposes a decision model of radar anti-jamming based on multi-objective intuitionistic fuzzy matrix game.Firstly,the paper uses intuitionistic fuzzy linguistic variables to describe the payment value in complex environment,and transforms the multi-target radar anti-jamming into a multi-target matrix game,analyzing the single-target radar anti-jamming effectiveness under single-target countermeasure.And then,the multiple single-target matrixes are weighted and aggregated to solve the optimal radar anti-jamming hybrid strategy through linear programming.Finally,an example is given,which shows that the proposed model is effective and practical,providing a new way for the research of radar anti-jamming game.