Pairwise comaximal elements and the classification of all V-distributive triangular norms of length 3
INFORMATION SCIENCES, cilt.204, ss.36-43, 2012 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 204
- Basım Tarihi: 2012
- Doi Numarası: 10.1016/j.ins.2012.03.014
- Dergi Adı: INFORMATION SCIENCES
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.36-43
- Karadeniz Teknik Üniversitesi Adresli: Evet
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.