Grey convex relational degree and its application to evaluate regional economic sustainability

Grey relational degree analysis has been successfully adopted in various fields, but the existinggrey relational analysis methods cannot deal with the three-dimensional panel data. in this paper, basedon the grey convex relational degree for two-dimensional data and an approximation of the hessian matrixfor a discrete sequence, we propose a novel grey convex relational degree for the three-dimensionalpanel data (grpd), which uses the similar characteristic of convexity among relevant factors to measurerelational degree. an example of evaluation sustainable development is given to illustrate that the grpdcan more fully reflect the correlation degree among relevant factors.