灰色振幅关联度模型  

Grey amplitude incidence model

作　　者：施红星[1,2] 刘思峰[2] 方志耕[2] 杨保华[1] 

机构地区：[1]汽车管理学院车辆管理系,蚌埠233011 [2]南京航空航天大学经济与管理学院,南京210016

出　　处：《系统工程理论与实践》2010年第10期1828-1833,共6页Systems Engineering-Theory & Practice

基　　金：国家自然科学基金(70701017);国家软科学基金(2008GXS5D115);教育部规划基金(08JA630039)

摘　　要：传统的灰色关联模型从统计序列的面积、斜率、变化速率等角度来计算其关联程度,这些关联模型受到统计序列横纵坐标(振幅和间隔)的双重影响,这在分析统计序列间的单个因素间的关系时会产生其它因素的干扰.针对这一缺陷,提出了振幅关联度模型,研究仅受振幅因素影响的关联模型,证明该模型只与波形的波动振幅大小和方向有关,不受曲线波形的序列间隔影响,且能表示出正负相关性,并应用该模型研究了中国国内生产总值指数与居民消费指数两者增减幅度间的关系,取得了良好的效果.本模型适用于分析两组有明显波动的序列数据.The model of grey incidence determines the closeness degree from the closeness and similarity of statistical sequence＇s geometrical form.Traditional grey incidence model calculates statistical sequence＇s correlation degree from perspectives of its acreage,slope,changing velocity,etc.These incidence models have dual influences exerted by horizontal and vertical coordinates that is amplitude and interval.Subsequently, inference of other factors occurs when we analyze the relationship between statistical sequence＇s individual factors.To overcome this limitation,the author put forward the amplitude correlation model and drew the conclusion that the model is in reference to the magnitude and direction of the wave amplitude, but is independent of its sequence distance,and that it can show the positive-negative relevance.This model was then applied to carry out a research into the relationship between add or subtract argument of the general domestic product of China and the household consumption expenditure,which comes out to be an effective one.The model applies to analyze two distinct wave sequence＇s data.

关 键 词：灰色 振幅 关联模型 

分 类 号：N94[自然科学总论—系统科学]