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 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 18 Issue: 3
  • Publication Date: 2021
  • Doi Number: 10.22111/ijfs.2021.6083
  • Title of Journal : IRANIAN JOURNAL OF FUZZY SYSTEMS
  • Page Numbers: pp.81-98
  • Keywords: Bounded lattice, t-norms, t-conorms, ordinal sum, ORDINAL SUMS

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.