基于改进GRA-TOPSIS的空战威胁评估

针对在确定空战威胁评估指标权重时，未考虑指标间的耦合性以及客观赋权法不能从逻辑视角体现指标相对评价对象真正的重要程度的问题，提出了一种基于灰色关联度、灰色关联深度的极大熵模型初步确定权值，再根据指标间灰色关联度以及确定的解耦阈值修正权值的方法。为了克服灰色关联分析法（GRA）和理想点接近法（TOPSIS）的缺点，提出了一种基于GRA-TOPSIS的目标威胁评估方法。首先，通过实例对比分析了指标采用数学模型与模糊处理后，对目标威胁评估结果的影响；其次，对比分析了采用GRA、TOPSIS以及GRA-TOPSIS、数学模型得出的目标威胁评估结果；最后，考虑不同决策者的主观偏好，得出不同的目标威胁评估结果。通过仿真验证了所提方法的有效性以及科学性。 

Air combat threat assessment based on improved GRA-TOPSIS

In order to solve the problem that the coupling between indexes is not considered an the objective weighting method cannot reflect the true importance of indexes relative to evaluation objects from a logical perspective when calculating the weight of indexes in air combat threat assessment, a maximum entropy model based on grey relational degree and grey relational depth is proposed to determine the initial weight, and then the weight is modified according to the grey relational degree among indexes and the decoupling threshold. In order to overcome the shortcomings of grey relational analysis (GRA) and technique for order preference by similarity to solution (TOPSIS), a method of target threat assessment based on GRA-TOPSIS is proposed. First, the influence of mathematical model and fuzzy processing on the target threat assessment is analyzed through example. Second, the results of the target threat assessment using the GRA, TOPSIS, GRA-TOPSIS and mathematical models are compared and analyzed. Finally, different target threat assessment results are obtained by considering the subjective preference of different decision makers. Simulation proved the effectiveness and scientificity of the proposed method.