Pairwise comaximal elements and the classification of all V-distributive triangular norms of length 3


Khadjiev D., KARAÇAL F.

INFORMATION SCIENCES, cilt.204, ss.36-43, 2012 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 204
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1016/j.ins.2012.03.014
  • Dergi Adı: INFORMATION SCIENCES
  • Sayfa Sayıları: ss.36-43

Özet

For a lattice with a V-distributive t-norm, one useful inequality is obtained. Theorems on relations between a family of pairwise comaximal elements and a direct decomposition of the unit in a lattice with a V-distributive t-norm have given. Using these results, the description of all V-distributive triangular norms of length 3 and all lattices of length 3 with a V-distributive t-norm have obtained. (C) 2012 Elsevier Inc. All rights reserved.