Geodesic
Conditional distributivity of overlap functions over uninorms with continuous underlying operators
Kybernetika, Tome 60 (2024) no. 6, pp. 694-722 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

The investigations of conditional distributivity are encouraged by distributive logical connectives and their generalizations used in fuzzy set theory and were brought into focus by Klement in the closing session of Linzs 2000. This paper is mainly devoted to characterizing all pairs $(O,F)$ of aggregation functions that are satisfying conditional distributivity laws, where $O$ is an overlap function, and $F$ is a continuous t-conorm or a uninorm with continuous underlying operators.
The investigations of conditional distributivity are encouraged by distributive logical connectives and their generalizations used in fuzzy set theory and were brought into focus by Klement in the closing session of Linzs 2000. This paper is mainly devoted to characterizing all pairs $(O,F)$ of aggregation functions that are satisfying conditional distributivity laws, where $O$ is an overlap function, and $F$ is a continuous t-conorm or a uninorm with continuous underlying operators.
DOI : 10.14736/kyb-2024-6-0694
Classification : 08A72, 94A08
Keywords: aggregation function; overlap function; uninorm; conditional distributivity 
@article{10_14736_kyb_2024_6_0694,
     author = {Liu, Hui and Li, Wenle},
     title = {Conditional distributivity of overlap functions over uninorms with continuous underlying operators},
     journal = {Kybernetika},
     pages = {694--722},
     year = {2024},
     volume = {60},
     number = {6},
     doi = {10.14736/kyb-2024-6-0694},
     mrnumber = {4857202},
     zbl = {07980818},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2024-6-0694/}
}
TY  - JOUR
AU  - Liu, Hui
AU  - Li, Wenle
TI  - Conditional distributivity of overlap functions over uninorms with continuous underlying operators
JO  - Kybernetika
PY  - 2024
SP  - 694
EP  - 722
VL  - 60
IS  - 6
UR  - http://geodesic.mathdoc.fr/articles/10.14736/kyb-2024-6-0694/
DO  - 10.14736/kyb-2024-6-0694
LA  - en
ID  - 10_14736_kyb_2024_6_0694
ER  - 
%0 Journal Article
%A Liu, Hui
%A Li, Wenle
%T Conditional distributivity of overlap functions over uninorms with continuous underlying operators
%J Kybernetika
%D 2024
%P 694-722
%V 60
%N 6
%U http://geodesic.mathdoc.fr/articles/10.14736/kyb-2024-6-0694/
%R 10.14736/kyb-2024-6-0694
%G en
%F 10_14736_kyb_2024_6_0694
Liu, Hui; Li, Wenle. Conditional distributivity of overlap functions over uninorms with continuous underlying operators. Kybernetika, Tome 60 (2024) no. 6, pp. 694-722. doi: 10.14736/kyb-2024-6-0694

Cité par Sources :