On Construction Methods of Fuzzy Implication Functions on Bounded Lattices

ERTUĞRUL Ü., KARAÇAL F., KARACAİR K.

7th International Conference on Intelligent and Fuzzy Systems, INFUS 2025, İstanbul, Turkey, 29 - 31 July 2025, vol.1531 LNNS, pp.150-156, (Full Text) identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 1531 LNNS
  • Doi Number: 10.1007/978-3-031-98304-7_17
  • City: İstanbul
  • Country: Turkey
  • Page Numbers: pp.150-156
  • Keywords: Bounded lattice, Implication, T-(co) norm
  • Karadeniz Technical University Affiliated: Yes

Abstract

Fuzzy implications generalize the notion of the classical implications on {0,1} to fuzzy logic in which the truth values belong the unit real interval [0, 1]. In recent years, they have been intensively researched not only from a theoretical perspective but also from an application algebraic structures such as bounded lattices. Construction methods of obtaining fuzzy implication on bounded lattices have also become very popular. In this study, we deal with construction methods of implications on bounded lattices.