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 İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 332
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1016/j.fss.2017.07.015
  • Dergi Adı: FUZZY SETS AND SYSTEMS
  • Sayfa Sayıları: ss.129-143

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.