P-sets which is composed of internal P-sets and outer P-sets, is a set pair and has dynamic characteristic. Based on Psets, the concepts such as data set, -data set, F-data set and (,F)data set, and then -data set theorem, F-data set theorem, (,F)-data band theorem, data set recovery theorem, (,F)data identification theorem and identification criterion are proposed. By using those results, applications of (,F)-data in an information system are presented. P-sets is a new theory and a new method in the research of a dynamic information system.