A CHARACTERIZATION OF UNINORMS ON BOUNDED LATTICES VIA CLOSURE AND INTERIOR OPERATORS

Creative Commons License

ÇAYLI G. D.

KYBERNETIKA, sa.5, ss.768-790, 2023 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2023
  • Doi Numarası: 10.14736/kyb-2023-5-0768
  • Dergi Adı: KYBERNETIKA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Linguistic Bibliography, zbMATH
  • Sayfa Sayıları: ss.768-790
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

Uninorms on bounded lattices have been recently a remarkable field of inquiry. In the present study, we introduce two novel construction approaches for uninorms on bounded lattices with a neutral element, where some necessary and sufficient conditions are required. These constructions exploit a t-norm and a closure operator, or a t-conorm and an interior operator on a bounded lattice. Some illustrative examples are also included to help comprehend the newly added classes of uninorms.