Title :
The Best Interval Representation of Fuzzy S-Implications and Automorphisms
Author :
Bedregal, Benjamín C. ; Santiago, Regivan H N ; Reiser, Renata H S ; Dimuro, Graçaliz P.
Author_Institution :
Federal Univ. of Rio Grande do Norte, Natal
Abstract :
The aim of this work is to analyze interval fuzzy S-implications and interval automorphisms. Starting from any fuzzy S-implication, it is shown how to obtain an interval fuzzy S-implication canonically. We proved that such interval fuzzy S-implications meet the optimality property and preserve the same properties satisfied by fuzzy S-implications. In addition, commutative diagrams are used in order to relate fuzzy S-implications to interval fuzzy S-implications, and to understand how interval automorphisms act on interval S-implications, generating other interval fuzzy S-implications.
Keywords :
fuzzy control; fuzzy logic; fuzzy set theory; automorphisms; commutative diagrams; control systems; fuzzy S-implications; fuzzy logic; fuzzy set theory; interval representation; Accuracy; Control systems; Fuzzy control; Fuzzy logic; Fuzzy set theory; Fuzzy sets; Humans; Mathematics; Optimal control; Uncertainty;
Conference_Titel :
Fuzzy Systems Conference, 2007. FUZZ-IEEE 2007. IEEE International
Conference_Location :
London
Print_ISBN :
1-4244-1209-9
Electronic_ISBN :
1098-7584
DOI :
10.1109/FUZZY.2007.4295636
