On Generating of t-Norms and t-Conorms on Bounded Lattices

ÇAYLI G. D.

INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, vol.28, no.5, pp.807-835, 2020 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 28 Issue: 5
  • Publication Date: 2020
  • Doi Number: 10.1142/s021848852050035x
  • 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.807-835
  • Keywords: Bounded lattice, T-norm, T-conorm, Ordinal sum, TRIANGULAR NORMS, ORDINAL SUMS, UNINORMS
  • Karadeniz Technical University Affiliated: Yes

Abstract

In this paper, we study t-norms and t-conorms on bounded lattices. We propose new methods for generating these operators, applicable on any bounded lattice M by use of the presence of a t-norm on [0(M), k] and a t-conorm on [k, 1(M)] for an element k is an element of M/{0(M), 1(M)}. In addition, some corresponding examples are provided for well understanding the structure of new t-norms and t-conorms.