摘要
以笔者1992年提出的灰色绝对关联度模型为基础,构造出分别从相似性和接近性两个不同视角测度序列之间的相互关系和影响的灰色关联分析模型,并研究了灰色相似关联度和灰色接近关联度的计算及性质,最后给出一个算例.新模型克服了原模型存在的问题,更易于实际应用.相似关联度主要用于测度序列折线在几何形状上的相似程度;接近关联度用于测度序列折线在空间中的接近程度.需要说明的是,接近关联度仅适用于序列的意义、量纲完全相同的情形,当序列的意义、量纲不同时,研究其接近关联度没有意义.
Based on the definition of absolute degree of grey incidence,which put forward by Professor Liu Sifeng in 1992,a kind of new models for grey incidence analysis are given in this paper.The interrelations and influence can be measured by the new models with different visual angle of similarity and/or nearness respectively.And a simplified method to calculate the similitude degree of grey incidence and the close degree of grey incidence are put forward and proved.The properties of the new models grey incidence analysis are studied.Compared with the original definition,the new models for grey incidence analysis with many advantages and are easy to practical applications.It is used mainly to measure the similitude degree of the geometric patterns of sequence curves with the similitude degree of grey incidence;the close degree of grey incidence is used mainly to measure the nearness of the sequence curves in space.It necessary to point out that the close degree of grey incidence is used only at the case which the sequence curves with the same meaning and the same dimension.It is meaningless to measure the close degree of grey incidence as the sequence curves with different meaning or different dimension.
出处
《系统工程理论与实践》
EI
CSSCI
CSCD
北大核心
2010年第5期881-887,共7页
Systems Engineering-Theory & Practice
基金
国家自然科学基金(90924022
70971064
70901041)
高等学校博士学科点专项科研基金(200802870020
20093218120032)
教育部人文社会科学规划基金(08JA630039)
江苏省高等学校优秀创新团队(P0702)
南京航空航天大学创新群体(Y0553)
特聘教授科研创新基金(1009-260812)
关键词
灰色关联分析
相似关联度
接近关联度
绝对关联度
grey incidence analysis
the similitude degree of grey incidence
the close degree of grey incidence
the absolute degree of grey incidence
