Construction methods for triangular norms and triangular conorms on appropriate bounded lattices

AŞICI E.

IRANIAN JOURNAL OF FUZZY SYSTEMS, vol.18, no.3, pp.81-98, 2021 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 18 Issue: 3
  • Publication Date: 2021
  • Doi Number: 10.22111/ijfs.2021.6083
  • Journal Name: IRANIAN JOURNAL OF FUZZY SYSTEMS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Page Numbers: pp.81-98
  • Keywords: Bounded lattice, t-norms, t-conorms, ordinal sum, ORDINAL SUMS
  • Karadeniz Technical University Affiliated: Yes

Abstract

In this study, new methods to construct triangular norms and triangular conorms on appropriate bounded lattices are introduced. Some illustrative examples are given for clarity. Also, the relation between introduced methods and some other approaches is investigated. Finally, it is shown that the introduced construction methods can be generalized by induction to a modified ordinal sum for triangular norms and triangular conorms on appropriate bounded lattices. And some illustrative examples are given.