On Properties of Internal Uninorms on Bounded Lattices

ÇAYLI G. D.

10th International Summer School on Aggregation Functions (AGOP), Olomouc, Çek Cumhuriyeti, 1 - 04 Temmuz 2019, cilt.981, ss.115-128 identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 981
  • Doi Numarası: 10.1007/978-3-030-19494-9_11
  • Basıldığı Şehir: Olomouc
  • Basıldığı Ülke: Çek Cumhuriyeti
  • Sayfa Sayıları: ss.115-128
  • Anahtar Kelimeler: Bounded lattice, Internal uninorm, Neutral element, Uninorm, t-norm, t-conorm, IDEMPOTENT UNINORMS, ORDER
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

In this paper, we study internal uninorms on bounded lattices. We show that an internal uninorm on a bounded lattice L for the chosen neutral element e is an element of L\{0, 1} does not always exist. We introduce two new construction methods for uninorms on a bounded lattice L based on the existence of a t-norm and a t-conorm, where some necessary and sufficient conditions on its neutral element e is an element of L\{0, 1} are required. These methods also show the existence of internal uninorms on some special bounded lattices.