Kybernetika 60 no. 2, 125-149, 2024

A new approach to construct uninorms via uninorms on bounded lattices

Zhen-Yu Xiu and Xu ZhengDOI: 10.14736/kyb-2024-2-0125

Abstract:

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.

Keywords:

uninorms, bounded lattices, $t$-norms, $t$-conorms

Classification:

03B52, 06B20, 03E72

paper.pdf

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