A characterization of uninorms on bounded lattices by means of triangular norms and triangular conorms


ÇAYLI G. D.

INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, vol.47, no.8, pp.772-793, 2018 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 47 Issue: 8
  • Publication Date: 2018
  • Doi Number: 10.1080/03081079.2018.1513929
  • Title of Journal : INTERNATIONAL JOURNAL OF GENERAL SYSTEMS
  • Page Numbers: pp.772-793
  • Keywords: Bounded lattice, uninorm, neutral element, t-norm, t-conorm, IDEMPOTENT UNINORMS

Abstract

Uninorms are generalizations of triangular norms and triangular conorms leaving the freedom for the neutral element to be an arbitrary element from a bounded lattice. In this paper, we study uninorms on bounded lattices and investigate their main characteristics. We also introduce the new construction methods for uninorms on bounded lattices with a neutral element based on the fact that the presence of triangular norms and triangular conorms. Furthermore, we assess and exemplify the differences between our constructions and the present approaches.