On a new class of t-norms and t-conorms on bounded lattices

ÇAYLI G. D.

FUZZY SETS AND SYSTEMS, cilt.332, ss.129-143, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 332
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1016/j.fss.2017.07.015
  • Dergi Adı: FUZZY SETS AND SYSTEMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.129-143
  • Anahtar Kelimeler: Bounded lattice, Triangular norm, Triangular conorm, Ordinal sum, TRIANGULAR NORMS, ORDINAL SUMS, FUZZY-SETS, UNINORMS, NULLNORMS, ORDER
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

The ordinal sum of triangular norms on unit interval has been used to construct other triangular norms. But, in general, ordinal sum construction of triangular norms and triangular conorms may not work on an arbitrary bounded lattice. In this study, we focus on ordinal sums of triangular norms and triangular conorms on an arbitrary bounded lattice. Moreover, we show a complete generalization of our ordinal sums of triangular norms and triangular conorms on an arbitrary bounded lattice. And some illustrative examples are added for clarity. (C) 2017 Elsevier B.V. All rights reserved.