Determination of the Smallest-Greatest Uni-Nullnorms and Null-Uninorms on an Arbitrary Bounded Lattice L

Ince M. A., Karaçal F.

INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, cilt.31, sa.01, ss.103-119, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 31 Sayı: 01
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1142/s0218488523500071
  • Dergi Adı: INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, Business Source Elite, Business Source Premier, Computer & Applied Sciences, zbMATH
  • Sayfa Sayıları: ss.103-119
  • Anahtar Kelimeler: Uninorm, nullnorm, uni-nullnorm, null-uninorm, bounded lattice, DISTRIBUTIVE T-NORMS
  • Recep Tayyip Erdoğan Üniversitesi Adresli: Evet

Özet

In this paper, we study uni-nullnorms and null-uninorms on bounded lattices, which are generalizations of uninorms, nullnorms, t-norms and t-conorms. We construct two uni-nullnorms and two null-uninorms on a bounded lattice L. We determine the smallest-greatest uni-nullnorms with 2-neutral element {e, 1}(a) and the smallest-greatest null-uninorms with 2-neutral element {0,e}(a) by using these construction methods.