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Nullnorms on bounded trellises

2024/08/18 by Zhen-Yu Xiu, Zheng Xu, Xiu, Zhenyu +1
Mathematics · #Advanced Banach Space Theory #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Logic (math.LO) #Mathematical Analysis and Transform Methods

paper · pdf · doi:10.48550/arxiv.2408.09321

openalex publication_date 2024/08/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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