Geodesic
A new approach to construct uninorms via uninorms on bounded lattices
Kybernetika, Tome 60 (2024) no. 2, pp. 125-149 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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In this paper, on a bounded lattice $L$, we give a new approach to construct uninorms via a given uninorm $U^{*}$ on the subinterval $[0,a]$ (or $[b,1]$) of $L$ under additional constraint conditions on $L$ and $U^{*}$. This approach makes our methods generalize some known construction methods for uninorms in the literature. Meanwhile, some illustrative examples for the construction of uninorms on bounded lattices are provided.
In this paper, on a bounded lattice $L$, we give a new approach to construct uninorms via a given uninorm $U^{*}$ on the subinterval $[0,a]$ (or $[b,1]$) of $L$ under additional constraint conditions on $L$ and $U^{*}$. This approach makes our methods generalize some known construction methods for uninorms in the literature. Meanwhile, some illustrative examples for the construction of uninorms on bounded lattices are provided.
DOI : 10.14736/kyb-2024-2-0125
Classification : 03B52, 03E72, 06B20
Keywords: bounded lattices; $t$-norms; $t$-conorms; uninorms 
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     title = {A new approach to construct uninorms via uninorms on bounded lattices},
     journal = {Kybernetika},
     pages = {125--149},
     year = {2024},
     volume = {60},
     number = {2},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2024-2-0125/}
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Xiu, Zhen-Yu; Zheng, Xu. A new approach to construct uninorms via uninorms on bounded lattices. Kybernetika, Tome 60 (2024) no. 2, pp. 125-149. doi: 10.14736/kyb-2024-2-0125

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