角度化灰色T型关联度模型及应用研究  

Angle Grey T's Relational Degree and Its Application

作　　者：徐国东[1] 郭鹏[2] 李雪梅[3] 贾颖颖[2] 

机构地区：[1]陕西师范大学国际商学院,陕西西安710119 [2]西北工业大学管理学院,陕西西安710072 [3]南京航空航天大学经济与管理学院,江苏南京211106

出　　处：《运筹与管理》2015年第6期192-198,共7页Operations Research and Management Science

基　　金：国家自然科学基金资助项目(71272049);教育部博士点基金资助项目(20126102110052)

摘　　要：通过对现有灰色关联度模型及算法的分析,首次提出了角度化灰色T型关联度模型。在分段线性表示的基础上,使用相邻线段间的夹角构成的角度序列近似表示时间序列,并给出了相关灰色关联系数和灰色关联度的计算方法。角度化灰色T型关联度模型不仅能够反映序列的正负相关关系,并且满足对称性、唯一性、可比性和规范性等性质。最后,通过实证分析证明了该模型的实用性和有效性。The purpose of this paper is to develop a novel model called Angle Grey T＇ s Relational Degree based on the current grey relational model and algorithm, this model can enrich the theory of Grey Relational Analysis, and it can also be used to make predictions, make classifications and make decisions and so on. Employed the method of Piecewise Linear Representation （PLR） , a time series can be approximately expressed as the form of angle series between adjacent line segments, and then the calculation methods of grey relational coefficient and degree are presented based on other studies in this paper. Angle Grey T＇ s Relational Degree model not only can show the correlation of positive or negative of different time series, but it has some characteristics including symmetry, uniqueness and comparability and so on. Finally through a case study. , the validity of this novel model was to be proved

关 键 词：灰色系统理论 角度化 灰色T型关联度 时间序列 

分 类 号：N941.1[自然科学总论—系统科学]