RT Journal Article
T1 The number of t-norms on some special lattices
A1 Bejines-López, Carlos
A1 Chasco Ugarte, María Jesús
A1 Elorza, Jorge
A1 Janis, Vladimir
A1 Brutenicova, Michaela
K1 Matemáticas difusas
AB We estimate the number of triangular norms on some classes of finite lattices. One of them is obtained from two chains by identifying their zero elements, unit elements and an atom. Another one is the set of the dual lattices of the previous one. The obtained formulas involve the number of triangular norms on the corresponding chains. We derive several properties of a triangular norm for this kind of lattices, that enable us to obtain better estimates. Moreover, we obtain the number of t-norms in another class of lattices, which includes the so-called Chinese lantern. Finally, we estimate the number of Archimedean t-norms and divisible t-norms on these lattices.
PB Elsevier
YR 2020
FD 2020
LK https://hdl.handle.net/10630/33149
UL https://hdl.handle.net/10630/33149
LA eng
NO Bejines, C., Bruteničová, M., Chasco, M. J., Elorza, J., & Janiš, V. (2021). The number of t-norms on some special lattices. Fuzzy Sets and Systems, 408, 26-43.
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 20 ene 2026