2026-06-06T19:31:12Zhttps://riuma.uma.es/rest/oai/requestoai:riuma.uma.es:10630/331492026-02-03T11:22:11Zcom_10630_2254col_10630_37953
RIUMA. Repositorio Institucional de la Universidad de Málaga
author
Bejines-López, Carlos
author
Chasco Ugarte, María Jesús
author
Elorza, Jorge
author
Janis, Vladimir
author
Brutenicova, Michaela
2024-09-25T07:51:42Z
2024-09-25T07:51:42Z
2020
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.
https://hdl.handle.net/10630/33149
10.1016/j.fss.2020.03.014
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.
eng
Atribución 4.0 Internacional
Matemáticas difusas
The number of t-norms on some special lattices
journal article
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