{"title":"有界花架上的无效模式","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":"{\"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}","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}
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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