Generalized convex combination of triangular norms on bounded lattices


KARAÇAL F. , Nesibe Kesicioglu M., ERTUĞRUL Ü.

INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, cilt.49, ss.277-301, 2020 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 49 Konu: 3
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1080/03081079.2020.1730358
  • Dergi Adı: INTERNATIONAL JOURNAL OF GENERAL SYSTEMS
  • Sayfa Sayıları: ss.277-301

Özet

In this paper, we introduce the notions of the linear and generalized convex combination (shortly, g-convex combination) for triangular norms on bounded lattices. We investigate the conditions for the g-convex combination to be a triangular norm again. We introduce a triangular norm defined on a bounded lattice of equivalence classes and investigate some basic properties of the introduced triangular norm.