针对常规灰色关联分析仅考虑时间序列之间的相似性,忽略时间序列之间的接近性,而导致基于常规灰色关联分析的模型验证存在一定风险的问题,提出了一种阵灰色关联度模型,综合了时间序列之间的相近性和相似性两个方面,可以处理具有多个特征行为的关联分析问题。证明了阵灰色关联度模型满足灰色关联四定理。给出了基于阵灰色关联分析的模型验证操作过程。最后,通过实例分析验证了改进模型的合理性和有效性。

In view of validation of simulation model, ordinary gray relational analysis (GRA) usually stresses similarity but ignores nearness between the simulations and flight-tests time series, while the nearness is part of model error. To reduce the risk in application of GRA, a new matrix gray relational analysis was proposed, which is in view of the similarity and the nearness between the simulations and flight-test time series. The new model can also solve the relational analysis problem with many characteristics of behavior and the operational steps were listed in detail. It is proved that the improved model satisfies the four gray relational axioms. Finally, a case study was given to show the reasonability and validity of the improved model.