Kybernetika 61 no. 4, 577-591, 2025

Constructing mixed uninorms on bounded lattices

Xiaofeng Tian and Aifang XieDOI: 10.14736/kyb-2025-4-0577

Abstract:

In this paper, we present the definition of mixed uninorms and propose several methods for constructing two special classes of mixed uninorms on bounded lattices through t-subnorms and t-superconorms. These methods generalize $\mathbb{U}_{\min},$ $\mathbb{U}_{\max},$ $\mathbb{U}_{\min}^{1}$ and $\mathbb{U}_{\max}^{0}$ on bounded lattices that have been previously discussed in the literature. Some examples are given to construct mixed uninorms on bounded lattices.

Keywords:

uninorms, bounded lattices, T-superconorm, T-subnorm

Classification:

03B52, 06Dxx

paper.pdf

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