TY - GEN
T1 - On a graded notion of t-norm and dominance
AU - Behounek, Libor
AU - Cintula, Petr
AU - Bodenhofer, Ulrich
AU - Saminger-Platz, Susanne
AU - Sarkoci, Peter
PY - 2010/1
Y1 - 2010/1
N2 - The paper studies graded properties of MTL_Delta-valued binary connectives, focusing on conjunctive connectives such as t-norms, uninorms, aggregation operators, or quasicopulas. The graded properties studied include monotony, a generalized Lipschitz property, unit and null elements, commutativity, associativity, and idempotence. Finally, a graded notion of dominance is investigated and applied to transmission of graded properties of fuzzy relations. The framework of Fuzzy Class Theory (or higher-order fuzzy logic) is employed as a tool for easy derivation of graded theorems on the connectives.
AB - The paper studies graded properties of MTL_Delta-valued binary connectives, focusing on conjunctive connectives such as t-norms, uninorms, aggregation operators, or quasicopulas. The graded properties studied include monotony, a generalized Lipschitz property, unit and null elements, commutativity, associativity, and idempotence. Finally, a graded notion of dominance is investigated and applied to transmission of graded properties of fuzzy relations. The framework of Fuzzy Class Theory (or higher-order fuzzy logic) is employed as a tool for easy derivation of graded theorems on the connectives.
UR - http://www.bioinf.jku.at/publications/bioinf/2010.html
U2 - 10.1109/ISMVL.2010.21
DO - 10.1109/ISMVL.2010.21
M3 - Conference proceedings
SN - 9780769540245
T3 - Proceedings of The International Symposium on Multiple-Valued Logic
SP - 73
EP - 78
BT - Proc. 40th IEEE Int. Symp. on Multiple-Valued Logic
ER -