New building procedures for uninorms on a bounded lattice using a uninorm defined on its closed subintervals

ÇAYLI G. D.

Computational and Applied Mathematics, cilt.44, sa.6, 2025 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 44 Sayı: 6
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1007/s40314-025-03282-z
  • Dergi Adı: Computational and Applied Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Applied Science & Technology Source, Computer & Applied Sciences, zbMATH
  • Anahtar Kelimeler: Bounded lattice, neutral element, t-conorm, t-norm, uninorm
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

In this paper, we describe some approaches to obtaining new types of uninorms on bounded lattices by means of the uninorm determined on their closed subintervals. We also emphasize that these approaches separate from the existing formulations depending on t-norms and t-conorms, thanks to offering new insights into the construction of uninorms on bounded lattices. Moreover, we provide some illustrative examples to clarity new types of uninorms.