ON THE CONSTRUCTIONS OF T-NORMS AND T-CONORMS ON SOME SPECIAL CLASSES OF BOUNDED LATTICES

AŞICI E.

KYBERNETIKA, cilt.57, sa.2, ss.352-371, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 57 Sayı: 2
  • Basım Tarihi: 2021
  • Doi Numarası: 10.14736/kyb-2021-2-0352
  • Dergi Adı: KYBERNETIKA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Linguistic Bibliography, zbMATH
  • Sayfa Sayıları: ss.352-371
  • Anahtar Kelimeler: t-norm, t-conorm, ordinal sum, bounded lattice, ORDINAL SUM, NULLNORMS, SETS
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

Recently, the topic related to the construction of triangular norms and triangular conorms on bounded lattices using ordinal sums has been extensively studied. In this paper, we introduce a new ordinal sum construction of triangular norms and triangular conorms on an appropriate bounded lattice. Also, we give some illustrative examples for clarity. Then, we show that a new construction method can be generalized by induction to a modified ordinal sum for triangular norms and triangular conorms on an appropriate bounded lattice, respectively. And we provide some illustrative examples.