View in EDS HTML Full Text PDF Full Text

New constructions of t-norms and t-conorms on bounded lattices and trellises.

Saved in:
Bibliographic Details
Title: New constructions of t-norms and t-conorms on bounded lattices and trellises.
Authors: Zhao, Yifan1 (AUTHOR), Liu, Hua-Wen1 (AUTHOR) hw.liu@sdu.edu.cn
Source: International Journal of General Systems. Jan2026, Vol. 55 Issue 1, p70-90. 21p.
Subjects: Triangular norms, Lattice theory, Operator functions, Design, Banach lattices
Abstract: In this paper, we propose a rather effective method to construct t-norms using weak interior operators on appropriate bounded lattices, which covers several construction methods in the literature. We also present a generic construction method for t-norms on bounded trellises with the help of quasi-interior operators. In particular, we give the necessary and sufficient condition for this kind of construction and discuss how to relax the condition. Finally, the dual results for construction of t-conorms via weak (quasi-)closure operators on bounded lattices (trellises) are presented. [ABSTRACT FROM AUTHOR]
Copyright of International Journal of General Systems is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
Full text is not displayed to guests.
FullText Links:
  – Type: pdflink
Text:
  Availability: 1
Header DbId: egs
DbLabel: Engineering Source
An: 190574891
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
IllustrationInfo
Items – Name: Title
  Label: Title
  Group: Ti
  Data: New constructions of t-norms and t-conorms on bounded lattices and trellises.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Zhao%2C+Yifan%22">Zhao, Yifan</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Liu%2C+Hua-Wen%22">Liu, Hua-Wen</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> hw.liu@sdu.edu.cn</i>
– Name: TitleSource
  Label: Source
  Group: Src
  Data: <searchLink fieldCode="JN" term="%22International+Journal+of+General+Systems%22">International Journal of General Systems</searchLink>. Jan2026, Vol. 55 Issue 1, p70-90. 21p.
– Name: Subject
  Label: Subjects
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Triangular+norms%22">Triangular norms</searchLink><br /><searchLink fieldCode="DE" term="%22Lattice+theory%22">Lattice theory</searchLink><br /><searchLink fieldCode="DE" term="%22Operator+functions%22">Operator functions</searchLink><br /><searchLink fieldCode="DE" term="%22Design%22">Design</searchLink><br /><searchLink fieldCode="DE" term="%22Banach+lattices%22">Banach lattices</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: In this paper, we propose a rather effective method to construct t-norms using weak interior operators on appropriate bounded lattices, which covers several construction methods in the literature. We also present a generic construction method for t-norms on bounded trellises with the help of quasi-interior operators. In particular, we give the necessary and sufficient condition for this kind of construction and discuss how to relax the condition. Finally, the dual results for construction of t-conorms via weak (quasi-)closure operators on bounded lattices (trellises) are presented. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of International Journal of General Systems is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=190574891
RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1080/03081079.2025.2457559
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 21
        StartPage: 70
    Subjects:
      – SubjectFull: Triangular norms
        Type: general
      – SubjectFull: Lattice theory
        Type: general
      – SubjectFull: Operator functions
        Type: general
      – SubjectFull: Design
        Type: general
      – SubjectFull: Banach lattices
        Type: general
    Titles:
      – TitleFull: New constructions of t-norms and t-conorms on bounded lattices and trellises.
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Zhao, Yifan
      – PersonEntity:
          Name:
            NameFull: Liu, Hua-Wen
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 01
              Text: Jan2026
              Type: published
              Y: 2026
          Identifiers:
            – Type: issn-print
              Value: 03081079
          Numbering:
            – Type: volume
              Value: 55
            – Type: issue
              Value: 1
          Titles:
            – TitleFull: International Journal of General Systems
              Type: main
ResultId 1