Some new construction methods for t-norms on bounded lattices

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

INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, vol.48, no.7, pp.775-791, 2019 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 48 Issue: 7
  • Publication Date: 2019
  • Doi Number: 10.1080/03081079.2019.1658757
  • Journal Name: INTERNATIONAL JOURNAL OF GENERAL SYSTEMS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.775-791
  • Keywords: t-norm, bounded lattice, construction method, subinterval, TRIANGULAR NORMS, ORDINAL SUMS, UNINORMS
  • Karadeniz Technical University Affiliated: Yes

Abstract

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.