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The convexity, concavity and the relative convexity of positive discrete series are denned, on this basis, the proximity of relative convexity among relevant factors is used to measure relation degree, we present the novel grey convex relation degree, the properties of the grey convex relation degree are discussed. We also put forward the independence from interference factors of the order of grey relations, and point out that the convex relation and other 6 kinds of grey relation degree satisfy the independence from interference factors, the grey relation degree put forward by Julong Deng could not satisfy the independence from interference factors. An example is given to illustrate that the grey convex relation degree can more really reflect the correlation degree among relevant factors sequences. [ABSTRACT FROM AUTHOR]

The problem of seeking weights of decision-makers and attributes is studied in multi-attribute group decision making with interval grey numbers. For avoiding conflict between subjective weights and objective ones computed from attributes' values given by decision makers, the comprehensive weights are calculated by combining subjective weights and objective ones, where objective weights of attributes are obtained by using the maximum entropy model under the constrains of grey relation degree between the optimal project and every one. While, based on the degree of group consensus and information distribution, the weights of decision-makers are obtained by the maximum entropy thought and grey relation degree between every decision maker's comprehensive evaluations and average group evaluations. Finally, an aggregation approach of group decision making with interval grey numbers is presented. The numerical example is proved to verify the proposed method is more reasonable than other methods. [ABSTRACT FROM AUTHOR]