Some new construction methods for t-norms on bounded lattices
INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, vol.48, no.7, pp.775-791, 2019 (SCI-Expanded, Scopus)
- 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.