Construction methods for triangular norms and triangular conorms on appropriate bounded lattices

AŞICI E.

IRANIAN JOURNAL OF FUZZY SYSTEMS, cilt.18, sa.3, ss.81-98, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 18 Sayı: 3
  • Basım Tarihi: 2021
  • Doi Numarası: 10.22111/ijfs.2021.6083
  • Dergi Adı: IRANIAN JOURNAL OF FUZZY SYSTEMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Sayfa Sayıları: ss.81-98
  • Anahtar Kelimeler: Bounded lattice, t-norms, t-conorms, ordinal sum, ORDINAL SUMS
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

In this study, new methods to construct triangular norms and triangular conorms on appropriate bounded lattices are introduced. Some illustrative examples are given for clarity. Also, the relation between introduced methods and some other approaches is investigated. Finally, it is shown that the introduced construction methods can be generalized by induction to a modified ordinal sum for triangular norms and triangular conorms on appropriate bounded lattices. And some illustrative examples are given.