Title : 
Error estimation of perturbations of TL-fuzzy rough sets
         
        
        
            Author_Institution : 
Dept. of Math. & Phys., North China Electr. Power Univ., Beijing
         
        
        
        
        
        
        
            Abstract : 
In this paper we select TL-fuzzy rough sets to analysis error estimation of perturbations since it is more suitable for practical problems than other kind of fuzzy rough sets. We first adopt the continuity of lower and upper approximation operators in the TL-fuzzy rough sets, we then estimate errors of the approximations of a fuzzy set affected by perturbations of inputs in approximation operators of TL-fuzzy rough sets.
         
        
            Keywords : 
approximation theory; fuzzy set theory; mathematical operators; rough set theory; TL-fuzzy rough sets; approximation operators; error estimation; Cybernetics; Error analysis; Fuzzy set theory; Fuzzy sets; Machine learning; Mathematics; Physics; Rough sets; Set theory; Stability analysis; Error estimation; Lower approximation; Rough sets; Upper approximation;
         
        
        
        
            Conference_Titel : 
Machine Learning and Cybernetics, 2008 International Conference on
         
        
            Conference_Location : 
Kunming
         
        
            Print_ISBN : 
978-1-4244-2095-7
         
        
            Electronic_ISBN : 
978-1-4244-2096-4
         
        
        
            DOI : 
10.1109/ICMLC.2008.4620457