中文摘要：

针对横截面数据的灰色关联度分析问题,研究了常用灰色关联度在横截面数据的适用性.提出具有放射变换保序性的灰色距离关联度,实例说明距离关联度的实用性与有效性.将灰色距离关联度推广到系统因素为矩阵的矩阵范数关联度,且在多属性群决策问题的成功应用证明了其合理性.

英文摘要：

The grey relational analysis for cross-sectional data is studied,the suitability of some common grey relational analysis methods for cross-sectional data is discussed.A novel grey distance degree which accord with the rank preservation of radiation transform is proposed,and its validity and practicability is proved by a real example.Grey distance relational degree is extended to grey matrix norm relational degree when the system factors are matrices,and it is successfully applied to solve a problem of multi-attribute group decisionmaking.