基于融合赋权的D-S证据理论的雷达导引头抗干扰效能评估方法研究

    Evaluation Method of radar anti-jamming efficiency based on integrated weighted D-S evidence theory

    • 摘要: 基于证据理论的评估方法在进行评估效能时,常忽视不同指标与其赋权的相关性,导致评估结果不准确。针对这一问题,本文在构建了雷达导引头抗干扰效能评估指标体系与指标主观权重后,尝试将赋权与D-S证据理论融合。首先证明了方差为0的证据加入任意证据合成过程不会影响合成结果;再根据原证据合成理论视各证据权值相同,得出融合赋权的证据;然后,分析得到在指标评估框架下的融合赋权的冲突因子;最后,得到融合赋权的D-S证据理论。通过算例分析,对比其他方法,本文方法能有效将权值与指标融合,同时减少权值较小的指标带来的证据冲突。

       

      Abstract: The evaluation method based on evidence theory often ignores the correlation between different indicators and their weights when evaluating the effectiveness, resulting in inaccurate evaluation results. To this issue, this paper attempts to integrate the assignment of weights with D-S evidence theory after constructing an evaluation index system and subjective weights for the anti-jamming effectiveness of radar heads. First, it is proved that the addition of evidence with a variance of 0 to the arbitrary evidence synthesis process does not affect the synthesis result. Then, according to the evidence synthesis theory, which considers the weight of each evidence to be the same, the integrated weighted evidence is obtained. Next, the integrated weighted conflict factor is analyzed under the index framework. Finally, the integrated weighted D-S evidence theory is obtained. Through example analysis and comparison with other methods, it is shown that this method can effectively integrate the weights and while reducing the evidence conflict caused by indicators with small weights.

       

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