A characterization of uninorms on bounded lattices by means of triangular norms and triangular conorms
INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, cilt.47, sa.8, ss.772-793, 2018 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 47 Sayı: 8
- Basım Tarihi: 2018
- Doi Numarası: 10.1080/03081079.2018.1513929
- Dergi Adı: INTERNATIONAL JOURNAL OF GENERAL SYSTEMS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.772-793
- Anahtar Kelimeler: Bounded lattice, uninorm, neutral element, t-norm, t-conorm, IDEMPOTENT UNINORMS
- Karadeniz Teknik Üniversitesi Adresli: Evet
Özet
Uninorms are generalizations of triangular norms and triangular conorms leaving the freedom for the neutral element to be an arbitrary element from a bounded lattice. In this paper, we study uninorms on bounded lattices and investigate their main characteristics. We also introduce the new construction methods for uninorms on bounded lattices with a neutral element based on the fact that the presence of triangular norms and triangular conorms. Furthermore, we assess and exemplify the differences between our constructions and the present approaches.