Construction of uninorms on bounded lattices
Kybernetika, Tome 53 (2017) no. 3, pp. 394-417.

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

In this paper, we propose the general methods, yielding uninorms on the bounded lattice $(L,\leq ,0,1)$, with some additional constraints on $e\in L\backslash \{0,1\}$ for a fixed neutral element $e\in L\backslash \{0,1\}$ based on underlying an arbitrary triangular norm $T_{e}$ on $[0,e]$ and an arbitrary triangular conorm $S_{e}$ on $[e,1]$. And, some illustrative examples are added for clarity.
DOI : 10.14736/kyb-2017-3-0394
Classification : 03B52, 03E72, 06B20
Keywords: bounded lattice; triangular norm; triangular conorm; uninorms
@article{10_14736_kyb_2017_3_0394,
     author = {\c{C}ayl{\i}, G\"ul Deniz and Kara\c{c}al, Funda},
     title = {Construction of uninorms on bounded lattices},
     journal = {Kybernetika},
     pages = {394--417},
     publisher = {mathdoc},
     volume = {53},
     number = {3},
     year = {2017},
     doi = {10.14736/kyb-2017-3-0394},
     mrnumber = {3684677},
     zbl = {06819615},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2017-3-0394/}
}
TY  - JOUR
AU  - Çaylı, Gül Deniz
AU  - Karaçal, Funda
TI  - Construction of uninorms on bounded lattices
JO  - Kybernetika
PY  - 2017
SP  - 394
EP  - 417
VL  - 53
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.14736/kyb-2017-3-0394/
DO  - 10.14736/kyb-2017-3-0394
LA  - en
ID  - 10_14736_kyb_2017_3_0394
ER  - 
%0 Journal Article
%A Çaylı, Gül Deniz
%A Karaçal, Funda
%T Construction of uninorms on bounded lattices
%J Kybernetika
%D 2017
%P 394-417
%V 53
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.14736/kyb-2017-3-0394/
%R 10.14736/kyb-2017-3-0394
%G en
%F 10_14736_kyb_2017_3_0394
Çaylı, Gül Deniz; Karaçal, Funda. Construction of uninorms on bounded lattices. Kybernetika, Tome 53 (2017) no. 3, pp. 394-417. doi : 10.14736/kyb-2017-3-0394. http://geodesic.mathdoc.fr/articles/10.14736/kyb-2017-3-0394/

Cité par Sources :