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