Advance in grey incidence analysis modelling

Abstract

A systematic carding on the research of grey incidence analysis modeling has been made in this paper. The grey incidence analysis models developed from the models based on incidence coefficients of each point in the sequences in early days to the generalized grey incidence analysis models based on integral or overall perspective. It evolved from the grey incidence analysis models which measure similarity based on nearness into the models which consider similarity and nearness respectively. The objects of the research advanced from the analysis of relationship among curves to that among curved surfaces, and further to the analysis of relationship in three-dimensional space and even the relationship among super surfaces in n-dimensional space. The problems remained to be studied in this field are clarified too. Several research approaches of grey incidence analysis modeling are clearly revealed.

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