Some new construction methods for t-norms on bounded lattices


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

INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, cilt.48, ss.775-791, 2019 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 48 Konu: 7
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1080/03081079.2019.1658757
  • Dergi Adı: INTERNATIONAL JOURNAL OF GENERAL SYSTEMS
  • Sayfa Sayıları: ss.775-791

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.