Abstract:

To address the multidimensional threats posed by the U.S. air force's penetrating counter air （PCA） operational system to China's air defense security， this study resolves the evaluation bias caused by the imbalance between subjective and objective weights in traditional threat assessment methods by innovatively constructing a “combined weighting TOPSIS” evaluation model. An assessment framework encompassing seven core metrics—including collaborative command and control effectiveness， electromagnetic suppression capability， and fire strike effectiveness—is established based on PCA operational characteristics. Subsequently， the entropy weight method is employed to quantify objective weights for platform intrinsic attributes， while the eigenvector method is utilized to derive subjective weights reflecting tactical intent. A game theory-based deviation minimization algorithm is introduced to achieve Nash equilibrium optimization of the combined subjective-objective weights. PCA platform threat assessment model is developed using the technique for order preference by similarity to ideal solution （TOPSIS）， enabling the prioritization of PCA platform threats. Case simulation results validate the effectiveness of this threat assessment methodology， which provides a reference framework for evaluating incoming PCA platform threats in counter-penetration operations.

Key words: penetrating counter air （PCA）, entropy weight method, eigenvector method, perspective of game theory, technique for order preference by similarity to an ideal solution （TOPSIS）, threat assessment

摘要：

针对美国空军穿透性制空（PCA）作战体系对我空防安全带来的多维威胁挑战，为解决传统威胁评估方法因主客观权重失衡导致的评估偏差问题，构建了“基于组合赋权TOPSIS”的评估模型。基于PCA作战任务特点建立涵盖协同指控效能、电磁压制效能、火力打击效能等7类核心指标的评估体系；通过熵权法量化平台固有属性指标客观权重，运用本征向量法解析战术意图主观权重；引入博弈论离差最小化算法实现主客观权重的纳什均衡优化，基于逼近理想解排序法（TOPSIS）建立PCA平台威胁评估模型，从而得出PCA平台威胁排序。通过实例仿真计算，验证了此威胁评估方法的有效性，可为反穿透作战来袭PCA平台威胁评估提供参考。

关键词: 穿透性制空（PCA）, 熵权法, 本征向量法, 博弈论思想, 逼近理想解排序法（TOPSIS）, 威胁评估