灰色凸关联及其性质

在定义了正离散序列的凹凸性、相对凸度的基础上, 用相关因素之间相对凸度的接近性作为关联程度的度量, 提出了灰色凸关联的概念, 讨论了灰色凸关联的性质. 提出灰色关联序的干扰因素独立性, 证明了本文提出的灰色凸关联序和另外6种灰色关联序具有干扰因素独立性, 邓氏关联度不满足干扰因素独立性. 通过实例说明灰色凸关联度能较好的反映序列间的关联程度.

Grey convex relation and its properties

The convexity,concavity and the relative convexity of positive discrete series are defined,on this basis,the proximity of relative convexity among relevant factors is used to measure relation degree, we present the novel grey convex relation degree,the properties of the grey convex relation degree are discussed.We also put forward the independence from interference factors of the order of grey relations, and point out that the convex relation and other 6 kinds of grey relation degree satisfy the independence from interference factors,the grey relation degree put forward by Julong Deng could not satisfy the independence from interference factors.An example is given to illustrate that the grey convex relation degree can more really reflect the correlation degree among relevant factors sequences.