INCOMPARABILITY WITH RESPECT TO THE TRIANGULAR ORDER


Creative Commons License

AŞICI E., KARAÇAL F.

KYBERNETIKA, cilt.52, sa.1, ss.15-27, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 52 Sayı: 1
  • Basım Tarihi: 2016
  • Doi Numarası: 10.14736/kyb-2016-1-0015
  • Dergi Adı: KYBERNETIKA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.15-27
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

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.