Research On Grey Incidence Analysis Model And Its Application

This dissertation studies and summarizes the grey incidence analysis theory and its application and discusses the pitfalls of the existing grey incidence analysis models. Especially, the absolute degree of grey incidence model, the properties of positive and negative of grey incidence model and the grey slope incidence model have been improved and studied in order that the grey incidence models are well applied in the practical problem analysis. In conclusion, the work of the dissertation mainly has the following several aspects:Firstly, this dissertation summarizes the development and actuality, content, application of the grey incidence analysis and the main content of the dissertation. Besides, the grey incidence analysis models and its pitfalls are expounded and the data transform and sensibility of the analyzing result have been studied.Secondly, three models are improved and studied from the pitfalls of the models themselves theoretically and the restriction in application. The improved absolute degree of grey incidence is to find out each intersection point of two sequence curves first and then calculate the positive and negative area by time-interval. When sequence of date representing a system characteristics and sequence of relevant factors may possibly appear different trend in every time-interval, we establish a new model which can embody the positive and negative relation of two sequences. Besides, we also improve the slope incidence model because the distinguishing rate of the incidence coefficient of sequences is small.Finally, the improved model of grey slope incidence was applied to analyze the relation of science and technology investment and the economy increase in the period of the tenth five-year in Jiangsu Province.