Some methods to construct t-norms and t-conorms on bounded lattices


AŞICI E.

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, vol.40, no.6, pp.10877-10892, 2021 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 40 Issue: 6
  • Publication Date: 2021
  • Doi Number: 10.3233/jifs-201899
  • Title of Journal : JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
  • Page Numbers: pp.10877-10892
  • Keywords: Triangular norms, triangular conorms, ordinal sum, bounded lattice, TRIANGULAR NORMS, ORDINAL SUMS

Abstract

In this paper, we give construction methods for triangular norms (t-norms) and triangular conorms (t-conorms) on appropriate bounded lattices. Then, we compare our methods and well-known methods proposed in [2, 8, 19]. Finally, we give different construction methods for t-norms and t-conorms on an appropriate bounded lattice by using recursion. Also, we provide some examples to discuss introduced methods.