Title : 
The model of bidirectional PS-Rough Sets in probabilistic approximation space and its application
         
        
            Author : 
Zhao, Yan-jun ; Zhang, Chun-ying
         
        
            Author_Institution : 
Coll. of Sci., Hebei Polytech. Univ., Tangshan, China
         
        
        
        
        
        
        
            Abstract : 
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 probabilistic PS-rough sets model in probabilistic approximation space, discusses property 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 is the special case 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. Finally, the efficiency of PS-rough sets is shown by an example.
         
        
            Keywords : 
approximation theory; probability; rough set theory; statistics; Z.Pawlak rough sets; bidirectional PS-rough sets; knowledge database; probabilistic approximation space; statistics information; Cybernetics; Databases; Educational institutions; Electronic mail; Machine learning; Power system modeling; Rough sets; Statistics; System identification; Uncertainty; Probabilistic PS-Rough Sets; Probabilistic approximation space; S-Rough Sets;
         
        
        
        
            Conference_Titel : 
Machine Learning and Cybernetics, 2009 International Conference on
         
        
            Conference_Location : 
Baoding
         
        
            Print_ISBN : 
978-1-4244-3702-3
         
        
            Electronic_ISBN : 
978-1-4244-3703-0
         
        
        
            DOI : 
10.1109/ICMLC.2009.5212503