灰色关联分析模型研究进展

本文对灰色关联分析模型的研究进展进行了系统梳理. 从早期基于点关联系数的灰色关联分析模型, 到基于整体或全局视角的广义灰色关联分析模型; 从基于接近性测度相似性的灰色关联分析模型, 到分别基于相似性和接近性视角构造的灰色关联分析模型; 研究对象从曲线之间的关系分析到曲面之间的关系分析, 再到三维空间立体乃至n维空间中超曲面之间的关系分析. 明确了有待进一步研究的问题. 较为清晰地向读者展示出灰色关联分析模型的几条研究脉络.

Advance in grey incidence analysis modelling

A systematic carding on the research of grey incidence analysis modelling have been made in this paper. The grey incidence analysis models developed from the models based on incidence coefficient of each points in the sequences in early period to the generalized grey incidence analysis models which based on integral or overall perspective. From the grey incidence analysis models which measuring similarity based on nearness to the models which considering similarity and nearness respectively. The objects of the research advanced from the analysis of relationship among curves to that among curved surfaces, then forward to the analysis of relationship in three-dimensional space and even the relationship among super surfaces in n-dimensional space. The further problems remained to be studied in this field are clarified too. Several research approaches of grey incidence analysis modeling are clearly revealed.