New methods to construct uninorms on bounded lattices via uninorms defined on their sublattices

ÇAYLI G. D., Kurtuluş E., Başer D.

Semigroup Forum, 2026 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Publication Date: 2026
  • Doi Number: 10.1007/s00233-026-10634-6
  • Journal Name: Semigroup Forum
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Keywords: Bounded lattice, Neutral element, Semigroup, T-conorm, T-norm, Uninorm
  • Karadeniz Technical University Affiliated: Yes

Abstract

In this paper, we present two methods for constructing uninorms on a bounded lattice L based on a uninorm defined on the sublattice 0,a (or b,1) of L. We also examine the relationships between these methods and existing construction approaches in the literature. Furthermore, we provide several illustrative examples that demonstrate the effectiveness of the proposed constructions.