关键词: 空战博弈, 决策评估, 灰色关联分析法, 理想解排序法, 投影寻踪法

Abstract: To address the problem of determining the optimal strategy for air combat maneuver decision making with incomplete information, an evaluation method based on interval projection pursuit is proposed. Firstly, the interval number is introduced to represent the incomplete air combat data, the Euclidean distance in the TOPSIS (Technique for Order Preference by Similarity to Ideal Solution) is replaced by the grey relational degree, the positive and negative ideal solutions are given, and the RIGRA-TOPSIS(Referential Interval Grey Relation Analysis- Technique for Order Preference by Similarity to Ideal Solution) method is proposed to quantitatively obtain the objective weight of air combat indicators. Then, an improved interval projection pursuit method is introduced, which takes the obtained objective weights as the initial projection vector of the interval projection pursuit method, uses Gini coefficient instead of standard deviation to calculate the projection density, uses the particle swarm optimization algorithm to calculate the projection value, and determines the optimal strategy corresponding to the maximum projection value in the air combat game. The simulation results show that the proposed method has a good effect in the case of small sample air combat strategy set.

Key words: air combat decision, decision evaluation, grey relation analysis, technique for order preference by similarity to ideal solution(TOPSIS), projection pursuit