The implications obtained by two given implications on bounded lattices

KARAÇAL F., KESİCİOĞLU M. N., ERTUĞRUL Ü.

INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, vol.50, no.3, pp.281-299, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 50 Issue: 3
  • Publication Date: 2021
  • Doi Number: 10.1080/03081079.2021.1908279
  • 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.281-299
  • Keywords: Fuzzy implication, construction method, bounded lattice
  • Recep Tayyip Erdoğan University Affiliated: Yes

Abstract

In this paper, some construction methods for implications on bounded lattices are introduced and the preserved properties such as the neutrality property, the identity principle and the ordering property are investigated. The algebraic structures of the sets defined by the constructed implications are studied.