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一类新的灰色关联分析模型

发表时间:2008-06-30  浏览量:2899  下载量:1251
全部作者: 刘思峰,谢乃明,J·福雷斯特
作者单位: 南京航空航天大学灰色系统研究所;美国宾州州立SR大学数学系
摘 要: 本文以笔者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。
关 键 词: 灰色系统理论;灰色关联分析;相似关联度;接近性关联度;绝对关联度
Title: A kind of new models for grey incidence analysis
Author: LIU Sifeng, XIE Naiming, Jeffrey FORREST
Organization: Institute for Grey Systems Studies, Nanjing University of Aeronautics and Astronautics;Mathematics Department, Slippery Rock University of USA
Abstract: Based on the definition of absolute degree of grey incidence, which was put forward by the author 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 for grey incidence analysis are studied. Compared with the original definition, the new models have many advantages and are easy for 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 is 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.
Key words: grey systems theory; grey incidence analysis; the similitude degree of grey incidence; the close degree of grey incidence; the absolute degree of grey incidence
发表期数: 2008年10月第12期
引用格式: 刘思峰,谢乃明,J·福雷斯特. 一类新的灰色关联分析模型[J]. 中国科技论文在线精品论文,2008,1(12):1328-1336.
 
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