Some new construction methods for t-norms on bounded lattices

ERTUĞRUL Ü., Kesicioglu M. N., KARAÇAL F.

INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, cilt.48, sa.7, ss.775-791, 2019 (SCI-Expanded) identifier identifier

  • 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
  • Karadeniz Teknik 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.