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

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2026
  • Doi Numarası: 10.1007/s00233-026-10634-6
  • Dergi Adı: Semigroup Forum
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Anahtar Kelimeler: Bounded lattice, Neutral element, Semigroup, T-conorm, T-norm, Uninorm
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

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.