Ordering based on implications
INFORMATION SCIENCES, cilt.276, ss.377-386, 2014 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 276
- Basım Tarihi: 2014
- Doi Numarası: 10.1016/j.ins.2013.12.047
- Dergi Adı: INFORMATION SCIENCES
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.377-386
- Recep Tayyip Erdoğan Üniversitesi Adresli: Evet
Özet
Implication function I on a bounded lattice L is defined by means of some boundary conditions and monotonicity constraints. On the other hand, each implication function I on L defines a special relation which, in some cases, can be a (partial) order on L. We study the properties of I resulting into such (partial) orders. A special attention is given do situations yielding new bounded lattices. (C) 2014 Elsevier Inc. All rights reserved.