Kybernetika 61 no. 6, 872-894, 2025

New constructions of nullnorms on bounded trellises

Dong-Xue Jiang, Ya-Ming Wang and Hua-Wen LiuDOI: 10.14736/kyb-2025-6-0872

Abstract:

In this paper, we focus on the construction of nullnorms on bounded trellises. The features of the element that acts as the annihilator of a nullnorm are discussed and the relevant results show that the element acting as the annihilator must not be included in any cycle. Drawing upon this revelation, we propose some new methods for constructing nullnorms on bounded trellises, which are different from those given by Xiu et al. Additionally, some illustrative examples are provided to facilitate a more comprehensive understanding.

Keywords:

nullnorm, trellis, order-preserving mapping, t-(co)norm

Classification:

03B52, 03E72, 03G10

paper.pdf

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