TY - GEN
T1 - On a graded notion of t-norm and dominance
AU - Běhounek, Libor
AU - Cintula, Petr
AU - Bodenhofer, Ulrich
AU - Saminger-Platz, Susanne
AU - Sarkoci, Peter
PY - 2010
Y1 - 2010
N2 - The paper studies graded properties of MTLΔ-valued binary connectives, focusing on conjunctive connectives such as t-norms, uninorms, aggregation operators, or quasi-copulas. The graded properties studied include monotony, a generalized Lipschitz property, unit and null elements, commuta-tivity, 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 MTLΔ-valued binary connectives, focusing on conjunctive connectives such as t-norms, uninorms, aggregation operators, or quasi-copulas. The graded properties studied include monotony, a generalized Lipschitz property, unit and null elements, commuta-tivity, 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.scopus.com/inward/record.url?scp=77955317187&partnerID=8YFLogxK
U2 - 10.1109/ISMVL.2010.21
DO - 10.1109/ISMVL.2010.21
M3 - Conference contribution
AN - SCOPUS:77955317187
SN - 9780769540245
T3 - Proceedings of The International Symposium on Multiple-Valued Logic
SP - 73
EP - 78
BT - ISMVL 2010 - 40th IEEE International Symposium on Multiple-Valued Logic
T2 - 40th IEEE International Symposium on Multiple-Valued Logic, ISMVL 2010
Y2 - 26 May 2010 through 28 May 2010
ER -