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.
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.
出处
《数学的实践与认识》
北大核心
2016年第9期179-184,共6页
Mathematics in Practice and Theory
基金
国家自然科学基金(71401051)
教育部人文社会科学研究规划基金(15YJA630017)
河南省教育厅人文社科青年基金项目(2015-QN-020)
河南科技大学青年基金项目(2015QN027)
邯郸市科学技术研究与发展计划项目(1034201127)
关键词
灰色系统理论
灰色关联度
横截面数据
多属性群决策
grey system theory
grey relational analysis
cross-sectional data
multi-attribute group decision-making
