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.

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On Construction Methods of Fuzzy Implication Functions on Bounded Lattices

  • Ümit Ertuğrul,
  • Funda Karaçal,
  • Kübra Karacair

摘要

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.