A Construction Method for t-norms on Bounded Lattices
10th International Summer School on Aggregation Functions (AGOP), Olomouc, Çek Cumhuriyeti, 1 - 04 Temmuz 2019, cilt.981, ss.205-211, (Tam Metin Bildiri)
- Yayın Türü: Bildiri / Tam Metin Bildiri
- Cilt numarası: 981
- Doi Numarası: 10.1007/978-3-030-19494-9_19
- Basıldığı Şehir: Olomouc
- Basıldığı Ülke: Çek Cumhuriyeti
- Sayfa Sayıları: ss.205-211
- Karadeniz Teknik Üniversitesi Adresli: Evet
Özet
In this paper, a construction method on a bounded lattice from a given t-norm on a subinterval of the bounded lattice is presented. The supremum distributivity of the constructed t-norm by the mentioned method has been proven under some special conditions. Giving an example, the constructed t-norm need not be supremum-distributive on any bounded lattice is shown. Moreover, some relationships between the mentioned construction method and the other construction methods in the literature are presented.