Construction methods for interval-valued t-norms on bounded lattices
COMPUTATIONAL & APPLIED MATHEMATICS, cilt.45, sa.6, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 45 Sayı: 6
- Basım Tarihi: 2026
- Doi Numarası: 10.1007/s40314-026-03641-4
- Dergi Adı: COMPUTATIONAL & APPLIED MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Compendex, zbMATH
- Anahtar Kelimeler: Bounded lattices, Down-sets, Interval-valued t-conorms, Interval-valued t-norms, Up-sets
- Karadeniz Teknik Üniversitesi Adresli: Evet
Özet
In this paper, some construction methods for interval-valued t-norms (t-conorms) based on a down-set or an upset are presented. It is worth noting that the new construction methods do not have to be t-representable, which is a significant difference between the construction methods proposed in this paper and the commonly used construction methods of interval-valued t-norms (t-conorms) on other truth values sets. Some illustrative examples and remarks are also included to clarify the methods.