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

Nullnorms on bounded trellises

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classification math.FA math.LO
keywords boundedtrellisesnullnormssomearbitrarybasicconormsconstruction
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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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