A T-PARTIAL ORDER OBTAINED FROM T-NORMS

KARAÇAL F., KESİCİOĞLU M. N.

KYBERNETIKA, cilt.47, sa.2, ss.300-314, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 47 Sayı: 2
  • Basım Tarihi: 2011
  • Dergi Adı: KYBERNETIKA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.300-314
  • Karadeniz Teknik Üniversitesi Adresli: Hayır

Özet

A partial order on a bounded lattice L is called t-order if it is defined by means of the t-norm on L. It is obtained that for a t-norm on a bounded lattice L the relation a <=(T) b if a = T(x,b) for some x is an element of L is a partial order. The goal of the paper is to determine some conditions such that the new partial order induces a bounded lattice on the subset of all idempotent elements of L and a complete lattice on the subset A of all elements of L which are the supremum of a subset of atoms.