Abstract:

Grey incidence analysis is an important component of the grey system theory, and a proper algorithm of similarity measure can improve the accuracy of grey incidence analysis. Based on the existing algorithms of grey incidence, a new algorithm is proposed. The incidence coefficient of the new algorithm is calculated by the area between two adjacent sample points of the corresponding curves, and the degree of grey incidence is obtained by means of incidence coefficients. The new algorithm satisfies four axioms of grey incidence and is consistent with the fundamental idea of curves similarity of grey incidence analysis. Simulation results show that the new method obtains the correct order of grey incidence when Deng’s degree and generalized absolute degree fail.