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基于改进的灰色关联分析-理想解法和三支决策的空中目标威胁评估

Threat assessment of aerial targets based on improved GRA-TOPSIS method and three-way decisions.

作者信息

Yin Yongfeng, Zhang Routing, Su Qingran

机构信息

School of Software, Beihang University, Beijing 100089, China.

School of Reliability and Systems Engineering, Beihang University, Beijing 100089, China.

出版信息

Math Biosci Eng. 2023 Jun 8;20(7):13250-13266. doi: 10.3934/mbe.2023591.

Abstract

Target threat assessment is a critical aspect of information warfare and can offer valuable auxiliary support to combat command decision-making. Aiming to address the shortcomings of three decision-making methods in air combat target assessment, such as the inability to effectively handle uncertain situation information and quantitatively rank the decision-making targets according to their importance, a dynamic intuitionistic fuzzy decision model based on the improved GRA-TOPSIS method and three-way decisions is proposed. First, the target attribute weight is obtained by cosine intuitionistic fuzzy entropy algorithm; then, a novel intuitionistic fuzzy distance measure is introduced, and grey incidence analysis and TOPSIS are used to build the conditional probability for three-way decisions that fully utilize the existing information and reflect the consistency of dynamic change trend; finally, the comprehensive loss function matrix is constructed and the threat classification results are obtained using the decision rules. The example analysis shows that the proposed method can not only effectively handle complex battlefield situations and dynamic uncertain information, but it can also classify targets, improving the effectiveness and rationality of decision-making and providing a reference basis for scientific command decision-making.

摘要

目标威胁评估是信息战的关键环节,能够为作战指挥决策提供有价值的辅助支持。针对空战目标评估中三种决策方法存在的不足,如无法有效处理不确定态势信息、不能根据目标重要性对决策目标进行定量排序等问题,提出了一种基于改进GRA-TOPSIS方法和三支决策的动态直觉模糊决策模型。首先,通过余弦直觉模糊熵算法获取目标属性权重;然后,引入一种新的直觉模糊距离测度,利用灰色关联分析和TOPSIS构建三支决策的条件概率,充分利用现有信息并反映动态变化趋势的一致性;最后,构建综合损失函数矩阵,利用决策规则得到威胁分类结果。实例分析表明,该方法不仅能够有效处理复杂战场态势和动态不确定信息,还能对目标进行分类,提高决策的有效性和合理性,为科学指挥决策提供参考依据。

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