Geodesic
An extension method for t-norms on subintervals to t-norms on bounded lattices
Kybernetika, Tome 55 (2019) no. 6, pp. 976-993.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

In this paper, a construction method on a bounded lattice obtained from a given t-norm on a subinterval of the bounded lattice is presented. The supremum distributivity of the constructed t-norm by the mentioned method is investigated under some special conditions. It is shown by an example that the extended t-norm on $L$ from the t-norm on a subinterval of $L$ need not be a supremum-distributive t-norm. Moreover, some relationships between the mentioned construction method and the other construction methods in the literature are presented.
DOI : 10.14736/kyb-2019-6-0976
Classification : 03B52, 03E72, 03G10, 18B35
Keywords: T-norm; bounded lattice; construction method; subinterval 
@article{10_14736_kyb_2019_6_0976,
     author = {Kara\c{c}al, Funda and Ertu\u{g}rul, \"Umit and Kesicio\u{g}lu, M. Nesibe},
     title = {An extension method for t-norms on subintervals to t-norms on bounded lattices},
     journal = {Kybernetika},
     pages = {976--993},
     publisher = {mathdoc},
     volume = {55},
     number = {6},
     year = {2019},
     doi = {10.14736/kyb-2019-6-0976},
     mrnumber = {4077140},
     zbl = {07217222},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2019-6-0976/}
}
TY  - JOUR
AU  - Karaçal, Funda
AU  - Ertuğrul, Ümit
AU  - Kesicioğlu, M. Nesibe
TI  - An extension method for t-norms on subintervals to t-norms on bounded lattices
JO  - Kybernetika
PY  - 2019
SP  - 976
EP  - 993
VL  - 55
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.14736/kyb-2019-6-0976/
DO  - 10.14736/kyb-2019-6-0976
LA  - en
ID  - 10_14736_kyb_2019_6_0976
ER  - 
%0 Journal Article
%A Karaçal, Funda
%A Ertuğrul, Ümit
%A Kesicioğlu, M. Nesibe
%T An extension method for t-norms on subintervals to t-norms on bounded lattices
%J Kybernetika
%D 2019
%P 976-993
%V 55
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.14736/kyb-2019-6-0976/
%R 10.14736/kyb-2019-6-0976
%G en
%F 10_14736_kyb_2019_6_0976
Karaçal, Funda; Ertuğrul, Ümit; Kesicioğlu, M. Nesibe. An extension method for t-norms on subintervals to t-norms on bounded lattices. Kybernetika, Tome 55 (2019) no. 6, pp. 976-993. doi : 10.14736/kyb-2019-6-0976. http://geodesic.mathdoc.fr/articles/10.14736/kyb-2019-6-0976/

Cité par Sources :