基于二元区间数理论的作战飞机空战能力评估

Air Combat Capacity Assessment of Combat Aircraft Based on Binary Interval Number Theory

基于二元区间数理论,建立了一种权重未知的多指标战斗机空战能力评估模型。评估指标包括影响现代空战能力的主要因素:机动性、火力参数、探测能力参数、操纵效能系数、格斗空战能力系数和航程系数。利用数学中的余弦公式建立多属性评价的优化模型,通过比较各个机型与理想机型之间指标线段夹角余弦的大小,表征各机型的综合空战能力的差异,该评估模型减少了权重的主观性和计算过程。运用所建立的模型结合实际参数给出算例,验证模型的正确性和可行性。

Based on the binary interval number theory, a multiple indicator assessment model of fighter air combat capability has been created, in which the weights are unknown. Evaluation indicators are the most important ones in modem air battles which include mobility, firepower parameters, air combat capability, detection parameters, manipulating coefficient and the voyage coefficient. Using the cosine formula to establish the optimization model of multi-attribute evaluation, the size of index segment of the cosine between the various models and the ideal model are compared; then the air combat capability between flights can be described. The weight of subjectivity and the calculation process can be reduced in this way. Finally, the model is used to a numerical example to verify the fea- sibility of the model.