Methods for obtaining uninorms on some special classes of bounded lattices


ÇAYLI G. D., Mesiar R.

IRANIAN JOURNAL OF FUZZY SYSTEMS, vol.20, no.7, pp.111-126, 2023 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 20 Issue: 7
  • Publication Date: 2023
  • Doi Number: 10.22111/ijfs.2023.7660
  • Journal Name: IRANIAN JOURNAL OF FUZZY SYSTEMS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Page Numbers: pp.111-126
  • Karadeniz Technical University Affiliated: Yes

Abstract

In this article, we go on to discuss the structure of uninorms on bounded lattices. We suggest two techniques to yield uninorms with some constraints on the identity element by applying that the t-norms and t-conorms are always present on the considered bounded lattices. These techniques ensure new approaches for getting idempotent uninorms on bounded lattices when regarding infimum t-norm and supremum t-conorm. Furthermore, we display the distinctness between our new construction techniques and the published ones.