Some implication operators on bounded lattices

KARAÇAL F., KARACAİR K.

INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, cilt.53, sa.7-8, ss.898-927, 2024 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 53 Sayı: 7-8
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1080/03081079.2024.2335907
  • Dergi Adı: INTERNATIONAL JOURNAL OF GENERAL SYSTEMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, Computer & Applied Sciences, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.898-927
  • Anahtar Kelimeler: bounded lattice, Implication, negation, t-conorm, t-norm
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

In this paper, first we give a construction method for implications by an arbitrary element on bounded lattice. We present some implications obtained from binary operations on the bounded lattices, that is, from basic logic connectives, viz., t-norms, t-conorms and negations. Finally, we examine the main properties of the constructed implications.