V-Distributive and infinitely v-distributive t-norms on complete lattices


Karacal F. , Khadjiev D.

FUZZY SETS AND SYSTEMS, cilt.151, ss.341-352, 2005 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 151 Konu: 2
  • Basım Tarihi: 2005
  • Doi Numarası: 10.1016/j.fss.2004.06.013
  • Dergi Adı: FUZZY SETS AND SYSTEMS
  • Sayfa Sayıları: ss.341-352

Özet

A relation between the direct decomposability of an infinitely v-distributive t-norm on a complete lattice L and direct decompositions of the neutral element 1 of L is obtained. Some useful applications of this relation are given. In particularly, the description of all T-1-lattices without infinitely V-distributive t-norms on complete lattices and the description of all V-distributive t-norms on lattices of length 2 are given. The paper also contains the solutions of two open problems. (C) 2004 Elsevier B.V. All rights reserved.