广义区间灰数关联度模型

针对传统灰色关联度模型只能适用于实数序列而不能应用于区间灰数序列的情况，以区间灰数序列中对应区间灰数的距离之和作为两区间灰数序列的关联度，构造了广义区间灰数关联度模型，包括适用于具有相同量纲的系统行为序列的区间灰数绝对关联度、适用于具有不同量纲的系统行为序列的区间灰数相对关联度，以及综合考虑区间灰数绝对关联度和区间灰数相对关联度的区间灰数综合关联度，并对它们的性质进行了初步研究．最后，通过实例说明了广义区间灰数关联度模型的计算过程与可行性．

A Generalized Incidence Degree Model of Interval Grey Numbers

According to the fact that the traditional model of grey incidence was only appropriate for real number sequence but not for interval grey number sequence, the incidence degree of interval grey number sequences was calculated by the sum of the distances to corresponding interval grey numbers of the two interval grey number sequences, and the generalized incidence degree model of interval grey numbers was constructed, which included the absolute incidence degree model suitable to system behavior sequences having the same dimension, the relative incidence degree model suitable to system behavior sequences having different dimensions, and the synthesized incidence degree model, in which the absolute incidence degree model and the relative incidence degree model were synthetically considered. Then, natures of the generalized incidence degree model of interval grey numbers were studied. Lastly, the calculation process and feasibility of the generalized incidence degree model of interval grey numbers were demonstrated by an example.