Some new construction methods of t-norms and t-conorms on bounded lattices

KARAÇAL F., Şanlı Z.

Fuzzy Sets and Systems, vol.451, pp.84-93, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 451
  • Publication Date: 2022
  • Doi Number: 10.1016/j.fss.2022.07.002
  • Journal Name: Fuzzy Sets and Systems
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, Communication Abstracts, Computer & Applied Sciences, INSPEC, zbMATH
  • Page Numbers: pp.84-93
  • Keywords: Triangular norm, Triangular conorm, Bounded lattice, TRIANGULAR NORMS, ORDINAL SUMS, COMBINATION
  • Karadeniz Technical University Affiliated: Yes

Abstract

© 2022 Elsevier B.V.In this paper, we obtain some construction methods for triangular norms and triangular conorms by means of arbitrary elements on any bounded lattices. We examine the structure of these construction methods according to the some special cases of these arbitrary elements on any bounded lattice. On the other hand, we show that these triangular norms (triangular conorms) may not be equal in general. In addition, we provide some illustrative examples for the new constructions of triangular norms and triangular conorms on bounded lattices.