Model and application of bidirectional transfer probabilistic PS-rough sets

On the basis of rough sets,by considering both the dynamic characteristics of the set X and the statistics information in the knowledge database,this paper constructs bidirectional transfer probabilistic PS-rough sets model,discusses properties and theorems of PS-rough sets,proves that PS-rough sets is the further extension of S-rough sets and Z.Pawlak rough sets,S-rough sets and Z.Pawlak rough sets are the special cases of PS-rough sets.Comparing with S-rough sets,the approximation quality of the dynamic set X* in PS-rough sets is relatively increased and then the decision accuracy is improved.The efficiency of PS-rough sets is shown by an example.