灰色系统关联度之分辨系数的研究

Research on the Identification Coefficient of Relational Grade for Grey System

本文讨论了灰关联度ｒｉ中分辨系数ρ的实质意义，研究了ρ与ｒｉ的关系，分析了在不同的系统观测信息下，ρ的取值对关联度的影响。

In this paper, the Identification Coefficient ρ is discussed and it is pointed out that ρ denotes the weight of the system wholeness in Relational Grade r i.The relationships between ρ and r i are studied, that is following: 1. if ρ 1<ρ 2, then r i(ρ 1)<r i(ρ 2); 2. if ρ 1>ρ 2, then r i(ρ 1)>r i(ρ 2); where ρ 1 and ρ 2 are the values of ρ. The influence of values of ρ on the Relational Space for grey system is also studied under the kinds of image sequence of system factors.Based on the above all, the method of determinming the values of ρ is proposed, as following: 1. if Δ max >3Δ v, then ε Δ≤ρ≤1.5ε Δ; 2. if Δ max ≤3Δ v, then 1.5ε Δ<ρ≤2ε Δ; Finally, application examples are given.