TY - JOUR
T1 - Graded dominance and related graded properties of fuzzy connectives
AU - Běhounek, Libor
AU - Bodenhofer, Ulrich
AU - Cintula, Petr
AU - Saminger-Platz, Susanne
AU - Sarkoci, Peter
N1 - Publisher Copyright:
© 2014 Elsevier B.V.
PY - 2015/3/1
Y1 - 2015/3/1
N2 - Graded properties of binary and unary fuzzy connectives (valued in MTLΔ-algebras) are studied, including graded monotony, a generalized Lipschitz property, commutativity, associativity, unit and null elements, and the dominance relation between fuzzy connectives. The apparatus of Fuzzy Class Theory (or higher-order fuzzy logic) is employed as a tool for easy derivation of graded theorems on the connectives.
AB - Graded properties of binary and unary fuzzy connectives (valued in MTLΔ-algebras) are studied, including graded monotony, a generalized Lipschitz property, commutativity, associativity, unit and null elements, and the dominance relation between fuzzy connectives. The apparatus of Fuzzy Class Theory (or higher-order fuzzy logic) is employed as a tool for easy derivation of graded theorems on the connectives.
KW - Dominance
KW - Fuzzy Class Theory
KW - Fuzzy connective
KW - Fuzzy relation
UR - https://www.scopus.com/pages/publications/84920754893
U2 - 10.1016/j.fss.2014.04.025
DO - 10.1016/j.fss.2014.04.025
M3 - Article
AN - SCOPUS:84920754893
SN - 0165-0114
VL - 262
SP - 78
EP - 101
JO - Fuzzy Sets and Systems
JF - Fuzzy Sets and Systems
ER -