Title : 
Fuzzy weak orders representable by implication operators
         
        
            Author : 
Sali, A.C. ; Sali, A.
         
        
            Author_Institution : 
SZAMALK Educ. Ltd. Co., Univ. of Hertfordshire Co-opertaion, Budapest
         
        
        
            fDate : 
Aug. 30 2004-Sept. 1 2004
         
        
        
        
            Abstract : 
Fuzzy extensions of weak orders are investigated. Binary relations in the form of RIT, f(x,y) = IT(f(y), f(x)) are characterized in case of T = II, the product norm. In case of arbitrary left-continuous t-norm T, the relation is known to be a fuzzy weak order w.r.t. T. Finite intersections of fuzzy weak orders w.r.t. T are characterized, generalizing a result of De Baets, Fodor and Kerre
         
        
            Keywords : 
fuzzy set theory; arbitrary left-continuous t-norm; binary relation; finite intersection; fuzzy weak order; implication operator; Books; Educational products; Fuzzy sets; Mathematics;
         
        
        
        
            Conference_Titel : 
Computational Cybernetics, 2004. ICCC 2004. Second IEEE International Conference on
         
        
            Conference_Location : 
Vienna
         
        
            Print_ISBN : 
0-7803-8588-8
         
        
        
            DOI : 
10.1109/ICCCYB.2004.1437757