AN EXTENSION OF THE ORDERING BASED ON NULLNORMS


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AŞICI E.

KYBERNETIKA, cilt.55, sa.2, ss.217-232, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 55 Sayı: 2
  • Basım Tarihi: 2019
  • Doi Numarası: 10.14736/kyb-2019-2-0217
  • Dergi Adı: KYBERNETIKA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.217-232
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

In this paper, we generally study an order induced by nullnorms on bounded lattices. We investigate monotonicity property of nullnorms on bounded lattices with respect to the F-partial order. Also, we introduce the set of incomparable elements with respect to the F-partial order for any nullnorm on a bounded lattice. Finally, we investigate the relationship between the order induced by a nullnorm and the distributivity property for nullnorms.