Abstract:

P-sets (packet-sets) has dynamic characteristics. It is a pair of sets consisting of internal P-set X^F-(internal packet  set X^F- ) and outer Pset X ^F(outer packet set X^F). By using P-sets, the concepts ofF- -data discrete interval and F data discrete interval are given. By using these concepts, the characteristics of data discrete interval for outputting data in information system as well as the concept of data filtering are provided. Meanwhile, the following theorems are proposed: the theorems of data discrete interval, the theorems of data recovery, the theorems of data filtering, the theorems of data filtering residue and data identification. Finally, the application  is given. P-sets is a new theory and method to study the changes in the output data of information systems.