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Nullnorms on bounded trellises

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arxiv 2408.09321 v1 pith:KKK37ESA submitted 2024-08-18 math.FA math.LO

Zhenyu Xiu , Xu Zheng This is my paper · ORCID
classification math.FAmath.LO
keywords boundedtrellisesnullnormssomearbitrarybasicconormsconstruction
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abstract

In this paper, we introduce the notion of nullnorms on bounded trellises and study some basic properties. Based on the existence of $t$-norms and $t$-conorms on arbitrary bounded trellises, we propose some construction methods of nullnorms on bounded trellises. Moreover, some illustrative examples are provided.

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