Research On Grey Relation Analysis, Grey Clustering Analysis And Grey System Forecasting And Application In Medicine

Grey system theory poposed by Deng Julong in 1982, is a new method on uncertain system, which has been used to research uncertain problem lack of data and information.Through researching information which we have known, we can get what we need.Grey System Theory can be used to study uncertain or a few swatch or deficient informstion system, some of its information is known and some is unknown.Grey System Theory has been used widely in all fields. However, current Grey System Theory has not satisfied the demand of all actual Problems. This thesis put forward some improved methods in Grey Relation Analysis,Grey Clustering,Grey Forecasting and disussed their application in medicine. In conclusion, the work of the dissertation mainly has the following several aspects:Firstly, this dissertation summarizes basic concepts and theory of Grey Relation Analysis, especially simplified calculations of Generalized Grey Relational Grade. Based on the relation of the starting-point annihilating images and initial images to explore, this paper obtains some simplified methods of generalized grey absolute relational grade and generalized grey relative relational grade of unequal time interval sequence, which improve the original calculation to a large extent. Furthermore, the effectiveness of the proposed approaches is illustrated by a numerical example. Besides, this paper analysed the factors affecting hospital medical quality by virtue of grey relational theory.Secondly, this dissertation summarizes basic concepts and theory of Grey Clustering Analysis. Grey Clustering Analysis can be classfied into Grey Relation Clustering and Grey Whiten Weight Function Clustering. This paper improves Grey Relation Cluster by changing Grey Incidence Similar Matrix into Grey Incidence Equal Matrix, and sorts according to appropriate critical value, thus avoiding the same element in different similar categories.Finally, this dissertation summarizes basic concepts and theory of Grey Forecasting. To discuss the application of GM(1,1) in the time series data ,this paper established GM(1,1) according to the number of nurses and chief nurses in Jiangsu Province from 1992 to 2006, and then forecasted the trend of nurses and chief nurses in the following five years , supplying the health department with data and analysis basis for relevant policy adjustment.