{
  "id": "2408.09321",
  "version": "v1",
  "published": "2024-08-18T01:19:16.000Z",
  "updated": "2024-08-18T01:19:16.000Z",
  "title": "Nullnorms on bounded trellises",
  "authors": [
    "Zhenyu Xiu",
    "Xu Zheng"
  ],
  "comment": "13",
  "categories": [
    "math.FA",
    "math.LO"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-08-18T01:19:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "basic properties",
      "arbitrary bounded trellises",
      "construction methods",
      "illustrative examples"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}