Generalizing Uninorms on a Sublattice of a Bounded Lattice to New Uninorms in a Bounded Lattice

ÇAYLI G. D.

International Conference on Intelligent and Fuzzy Systems, INFUS 2024, Çanakkale, Turkey, 16 - 18 July 2024, vol.1090 LNNS, pp.522-530 identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 1090 LNNS
  • Doi Number: 10.1007/978-3-031-67192-0_59
  • City: Çanakkale
  • Country: Turkey
  • Page Numbers: pp.522-530
  • Keywords: Bounded lattice, T-conorm, T-norm, Uninorm
  • Karadeniz Technical University Affiliated: Yes

Abstract

Uninorms in bounded lattices that are outstanding expansions of triangular norms and triangular conorms have drawn much attention from investigators. These operators give permission the identity i to be situated in any place of a bounded lattice T that includes the greatest element and smallest element, represented as 1 and 0, respectively. Specifically, a uninorm is transformed into a triangular norm (or triangular conorm) whenever i=1 (or i=0). In this article, two procedures are proposed to build innovative forms of uninorms in a bounded lattice T through a uninorm determined in the sublattice [0, k] (or [t, 1]) of T that possesses an identity i∈]0,k[ (or i∈]t,1[). Furthermore, some explicatory examples are put forward in order to display that these building procedures for uninorms vary from the present ones in the literature.