New constructions of triangular norms and triangular conorms on an arbitrary bounded lattice


AŞICI E., Mesiar R.

INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, cilt.49, sa.2, ss.143-160, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 49 Sayı: 2
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1080/03081079.2019.1668385
  • 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, Sociological abstracts, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.143-160
  • Anahtar Kelimeler: Bounded lattices, t-norms, t-conorms, ordinal sum, ORDINAL SUMS, UNINORMS, NULLNORMS
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

The ordinal sum of triangular norms on the real unit interval has been used to construct other triangular norms. But, in general, the standard approach to the ordinal sum construction of triangular norms and triangular conorms may not work on an arbitrary bounded lattice. In this study, we introduce a new ordinal sum construction of triangular norms and triangular conorms on an arbitrary bounded lattice. Also, we give some illustrative examples for the clarity.