A new approach to construct uninorms via uninorms on bounded lattices

Xiu, Zhen-Yu ; Zheng, Xu

Kybernetika, Tome 60 (2024) no. 2, pp. 125-149

Abstract (VO)

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.

Détail

DOI : 10.14736/kyb-2024-2-0125

Classification : 03B52, 03E72, 06B20
Keywords: bounded lattices; $t$-norms; $t$-conorms; uninorms

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