Title :
A new family of fuzzy operators and its use in the break-collapse method
Author :
Tsallis, Constantino ; Neto, Camilo Rodrigues ; Sandri, Sandra
Author_Institution :
CBPF, Rio de Janeiro, Brazil
Abstract :
We introduce a new parameterized family of fuzzy operators (t-norms, t-conorms and negation) which satisfies all the standard requirements and contains, as particular cases, both Hamacher (1978) and Sugeno operators. In addition to this, we show that the break-collapse method (used in graph theory for some magnetic models) is applicable for these operators. The procedure is illustrated on the Wheatstone bridge topology.
Keywords :
fuzzy set theory; graph theory; magnetism; Hamacher operator; Sugeno operator; Wheatstone bridge topology; break-collapse method; fuzzy operators; graph theory; magnetic models; negation; t-conorms; t-norms; Boundary conditions; Bridge circuits; Fuzzy sets; Graph theory; Laboratories; Los Angeles Council; Marine vehicles; Mathematics; Topology;
Conference_Titel :
Fuzzy Systems Conference Proceedings, 1999. FUZZ-IEEE '99. 1999 IEEE International
Conference_Location :
Seoul, South Korea
Print_ISBN :
0-7803-5406-0
DOI :
10.1109/FUZZY.1999.793231
