Uninorms That Are Neither Conjunctive Nor Disjunctive on Bounded Lattices

ÇAYLI G. D.

17th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU), Cadiz, İspanya, 11 - 15 Haziran 2018, cilt.853, ss.310-318 identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 853
  • Doi Numarası: 10.1007/978-3-319-91473-2_27
  • Basıldığı Şehir: Cadiz
  • Basıldığı Ülke: İspanya
  • Sayfa Sayıları: ss.310-318
  • Anahtar Kelimeler: Bounded lattice, Uninorm, Conjunctive uninorm, Disjunctive uninorm, Neutral element
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

In this paper, we demonstrate that on some bounded lattices L, there exist elements e is an element of L\{0, 1} such that all uninorms having e as the neutral element are only conjunctive or disjunctive. And we introduce two new construction methods to obtain uninorms that are neither conjunctive nor disjunctive on a bounded lattice with a neutral element under some additional constraints. Furthermore, an illustrative example showing that our methods differ slightly from each other is added.