INCOMPARABILITY WITH RESPECT TO THE TRIANGULAR ORDER


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AŞICI E. , KARAÇAL F.

KYBERNETIKA, vol.52, no.1, pp.15-27, 2016 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 52 Issue: 1
  • Publication Date: 2016
  • Doi Number: 10.14736/kyb-2016-1-0015
  • Title of Journal : KYBERNETIKA
  • Page Numbers: pp.15-27

Abstract

In this paper, we define the set of incomparable elements with respect to the triangular order for any t-norm on a bounded lattice. By means of the triangular order, an equivalence relation on the class of t-norms on a bounded lattice is defined and this equivalence is deeply investigated. Finally, we discuss some properties of this equivalence.