Some implication operators on bounded lattices

KARAÇAL F., KARACAİR K.

INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, vol.53, no.7-8, pp.898-927, 2024 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 53 Issue: 7-8
  • Publication Date: 2024
  • Doi Number: 10.1080/03081079.2024.2335907
  • Journal Name: INTERNATIONAL JOURNAL OF GENERAL SYSTEMS
  • Journal Indexes: 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
  • Page Numbers: pp.898-927
  • Keywords: bounded lattice, Implication, negation, t-conorm, t-norm
  • Karadeniz Technical University Affiliated: Yes

Abstract

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.