{"title":"Nullnorms on bounded trellises","authors":"Zhenyu Xiu, Xu Zheng","doi":"arxiv-2408.09321","DOIUrl":null,"url":null,"abstract":"In this paper, we introduce the notion of nullnorms on bounded trellises and\nstudy some basic properties. Based on the existence of $t$-norms and\n$t$-conorms on arbitrary bounded trellises, we propose some construction\nmethods of nullnorms on bounded trellises. Moreover, some illustrative examples\nare provided.","PeriodicalId":501306,"journal":{"name":"arXiv - MATH - Logic","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Logic","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.09321","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
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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