Novel Properties of Some Grey Relational Analysis Models

The aim of this paper is to study the properties of the grey incidence analysis model and enrich its theoretical system.Based on the analysis of the existing model of grey incidence degree and their properties,this paper first presents the novel definitions of affinity and affine transformation isotonicity.The two properties of some grey incidence degree are studied.The research results indicate that the T-mode relational grade model and grey ratio rational grade have the properties of affinity and affine transformation isotonicity.The results of this study are of implication for further rebuilding grey relational grade and widening the practical field of grey relational analysis models.