CONSTRUCTION METHODS FOR UNI-NULLNORMS AND NULL-UNINORMS ON BOUNDED LATTICE

Ertuğrul Ü., Kesicioglu M. N., Karaçal F.

KYBERNETIKA, cilt.55, sa.6, ss.994-1015, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 55 Sayı: 6
  • Basım Tarihi: 2019
  • Doi Numarası: 10.14736/kyb-2019-6-0994
  • Dergi Adı: KYBERNETIKA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.994-1015
  • Anahtar Kelimeler: uni-nullnorm, bounded lattices, uni-nullnorms, null-norms, uninorms, nullnorms, t-norms, DISTRIBUTIVITY
  • Recep Tayyip Erdoğan Üniversitesi Adresli: Evet

Özet

In this paper, two construction methods have been proposed for uni-nullnorms on any bounded lattices. The difference between these two construction methods and the difference from the existing construction methods have been demonstrated and supported by an example. Moreover, the relationship between our construction methods and the existing construction methods for uninorms and nullnorms on bounded lattices are investigated. The charactertics of null-uninorms on bounded lattice L are given and a contruction method is presented.