On the direct decomposability of strong negations and S-implication operators on product lattices
INFORMATION SCIENCES, cilt.176, sa.20, ss.3011-3025, 2006 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 176 Sayı: 20
- Basım Tarihi: 2006
- Doi Numarası: 10.1016/j.ins.2005.12.010
- Dergi Adı: INFORMATION SCIENCES
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.3011-3025
- Karadeniz Teknik Üniversitesi Adresli: Hayır
Özet
In this paper, we discuss the direct product of strong negations. We characterize strong negations on product lattices that are direct products of strong negations. Furthermore, we present a method for constructing t-norms on product lattices which are not direct products. This method is quite general and useful to generate a wide class of such t-norms and solves an open problem posed in 2003 by Jenei and De Baets. Finally, we study direct decompositions of S-implication operators on product lattices. (C) 2005 Elsevier Inc. All rights reserved.