On new models of grey incidence analysis based on visual angle of similarity and nearness

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.