结合灰色关联分析理论,运用向量投影原理,提出一种新型的灰色投影关联度模型,对模型的基本原理进行分析,并讨论模型的规范性、相似性和平行性等性质。该模型充分利用了序列各时点的信息,克服了以离散点代替整体变化趋势的问题。通过实例分析验证了模型的有效性。分析结果表明,灰色投影关联度能较好地反映序列间的关联程度。
Based on the theory of grey incidence analysis and vector projection, a new grey projection incidence degree is developed. Then, some properties such as normality, similarity, parallelism are studied. This model is able to fully employ the information of every point of the whole sequence, and avoid predicting trend using discrete points. Finally, an example is used to illustrate the effectiveness of the model, which suggests that the grey projection incidence model can reflect the correlation degree among relevant factor sequences.