Constructing Uninorms on Bounded Lattices Through Closure and Interior Operators

Çayll G. D.

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, vol.32, no.1, pp.109-129, 2024 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 32 Issue: 1
  • Publication Date: 2024
  • Doi Number: 10.1142/s0218488524500053
  • Journal Name: International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, Business Source Elite, Business Source Premier, Compendex, Computer & Applied Sciences, zbMATH
  • Page Numbers: pp.109-129
  • Keywords: Bounded lattice, closure operator, interior operator, t-conorm, t-norm, uninorm
  • Karadeniz Technical University Affiliated: Yes

Abstract

Uninorms combining t-conorms and t-norms on bounded lattices have lately drawn extensive interest. In this article, we propose two ways for constructing uninorms on a bounded lattice with an identity element. They benefit from the appearance of the t-norm (resp. t-conorm) and the closure operator (resp. interior operator) on a bounded lattice. Additionally, we include some illustrative examples to highlight that our procedures differ from others in the literature.