Some new construction methods for t-norms on bounded lattices
INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, cilt.48, sa.7, ss.775-791, 2019 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 48 Sayı: 7
- Basım Tarihi: 2019
- Doi Numarası: 10.1080/03081079.2019.1658757
- Dergi Adı: INTERNATIONAL JOURNAL OF GENERAL SYSTEMS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.775-791
- Anahtar Kelimeler: t-norm, bounded lattice, construction method, subinterval, TRIANGULAR NORMS, ORDINAL SUMS, UNINORMS
- Recep Tayyip Erdoğan Üniversitesi Adresli: Evet
Özet
In this paper, three methods for constructing triangular norms on a bounded lattice L from t-norm W on sub-lattice of L are investigated. An example is added to reveal the difference of three construction methods. The smallest t-norm in the class of all triangular norms on a lattice L whose restriction to the subinterval of L is a priori fixed t-norm W is determined.