On a new class of uninorms constructed by a uninorm on a sublattice of a bounded lattice

ÇAYLI G. D., Kurtuluş E.

Semigroup Forum, cilt.110, sa.3, ss.540-565, 2025 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 110 Sayı: 3
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1007/s00233-025-10541-2
  • Dergi Adı: Semigroup Forum
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.540-565
  • Anahtar Kelimeler: Bounded lattice, Neutral element, Semigroup, T-conorm, T-norm, Uninorm
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

In this paper, we introduce two approaches for obtaining new classes of uninorms using the uninorm defined on a sublattice [0, k] (or [t, 1]) of a bounded lattice L with a neutral element e∈]0,k[ (or e∈]t,1[). As a by-product, these tools encompass some of the existing construction methods for uninorms on L. Moreover, we provide some examples to assess the differences between our methods and the existing approaches.