On grey geometrical relational model and its properties

Grey relational analysis is an important part of the grey systems theory, and it is the basis of the grey clustering analysis, grey decision-making and grey controlling. In this paper, we provided the definitions of parallel, uniform and order-keeping properties. We constructed a new grey relational model. By theoretical proving we knew that the model is not only satisfied to the normality, whole and symmetry properties of grey relational theorems but also satisfied to the parallel, uniform, parallel order-keeping, multiple order-keeping and affine order-keeping properties.