New construction approaches of uninorms on bounded lattices

ÇAYLI G. D.

INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, cilt.50, sa.2, ss.139-158, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 50 Sayı: 2
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1080/03081079.2020.1863397
  • Dergi Adı: INTERNATIONAL JOURNAL OF GENERAL SYSTEMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, Computer & Applied Sciences, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.139-158
  • Anahtar Kelimeler: Bounded lattice, closure operator, uninorm, interior operator, t-norm, t-conorm
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

This article continuous to investigate the construction approaches for uninorms on bounded lattices. We introduce some new methods to obtain uninorms with an identity e is an element of L\{0, 1} by using closure (interior) operators on a bounded lattice L. As a by-product of these methods, we present two families of idempotent uninorms on bounded lattices. Furthermore, we provide some corresponding examples to illustrate that our methods can differ for different closure (interior) operators.