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一种新的灰色绝对关联度模型及其应用
引用本文:刘勇,刘思峰,Jeffrey Forrest.一种新的灰色绝对关联度模型及其应用[J].中国管理科学,2012,20(5):173-177.
作者姓名:刘勇  刘思峰  Jeffrey Forrest
作者单位:1. 南京航空航天大学经济与管理学院, 江苏 南京 211106;2. 宾州州立SR大学数学系,PA 16057
基金项目:国家自然科学基金资助项目,南京航空航天大学博士学位论文创新与创优基金,中央高校基本科研业务费专项资金资助,江苏省普通高校研究生科研创新计划资助项目
摘    要:为了处理序列曲线间的负相关等问题,并使关联满足一定的性质,基于灰色关联分析的基本思想,本文利用数列曲线的平均相对变化态势构建了一种新的灰色绝对关联度模型,并探讨了模型的唯一性、对称性、相似性、平行性、一致性等性质,而后以新模型对我国及各省市区产业结构的有序度进行了测算,结果表明新模型计算简单,计算量小,更与实际相符。

关 键 词:灰色关联分析  绝对关联度  平行性  一致性  
收稿时间:2011-06-21;
修稿时间:2012-08-27

A New Grey Absolute Degree of Grey Incidence Model and Application
LIU Yong,LIU Si-feng,Jeffrey Forrest.A New Grey Absolute Degree of Grey Incidence Model and Application[J].Chinese Journal of Management Science,2012,20(5):173-177.
Authors:LIU Yong  LIU Si-feng  Jeffrey Forrest
Institution:1. College of economics and management, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China;2. Mathematics Department, Slippery Rock University of USA, Pennsylvania 16057,Amerilan
Abstract:In order to deal with the problems such as the negative incidence of the sequence curves and possess some important properties, a new grey absolute degree of grey incidence model is developed based on the basic idea of grey incidence analysis and average trend of the relative change of sequence curves, and then some properties such as similarity, parallel, uniform are studied. Finally, by applying the new model, the degrees of order of the industrial structure for China's various provinces are calculated, and the results show that the proposed model is simple, practical and useful.
Keywords:grey incidence analysis  absolute degree of grey incidence  parallel  uniform
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