Implication Construction Methods on Bounded Lattices

ERTUĞRUL Ü., KARAÇAL F., KARACAİR K.

14th Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2025, Riga, Latvia, 21 - 25 July 2025, vol.15884 LNCS, pp.122-133, (Full Text) identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 15884 LNCS
  • Doi Number: 10.1007/978-3-031-97228-7_11
  • City: Riga
  • Country: Latvia
  • Page Numbers: pp.122-133
  • Keywords: Bounded lattice, Construction method, Fuzzy implication, Sub-interval
  • Karadeniz Technical University Affiliated: Yes

Abstract

We present some construction methods to obtain fuzzy implications on a bounded lattice L via two implications defined on sub-intervals of the bounded lattice L. Then, we take a step further this idea to produce fuzzy implications via given three implications. Moreover, many illustrative examples are included.