On Properties of Internal Uninorms on Bounded Lattices
10th International Summer School on Aggregation Functions (AGOP), Olomouc, Çek Cumhuriyeti, 1 - 04 Temmuz 2019, cilt.981, ss.115-128, (Tam Metin Bildiri)
- Yayın Türü: Bildiri / Tam Metin Bildiri
- Cilt numarası: 981
- Doi Numarası: 10.1007/978-3-030-19494-9_11
- Basıldığı Şehir: Olomouc
- Basıldığı Ülke: Çek Cumhuriyeti
- Sayfa Sayıları: ss.115-128
- Anahtar Kelimeler: Bounded lattice, Internal uninorm, Neutral element, Uninorm, t-norm, t-conorm, IDEMPOTENT UNINORMS, ORDER
- Karadeniz Teknik Üniversitesi Adresli: Evet
Özet
In this paper, we study internal uninorms on bounded lattices. We show that an internal uninorm on a bounded lattice L for the chosen neutral element e is an element of L\{0, 1} does not always exist. We introduce two new construction methods for uninorms on a bounded lattice L based on the existence of a t-norm and a t-conorm, where some necessary and sufficient conditions on its neutral element e is an element of L\{0, 1} are required. These methods also show the existence of internal uninorms on some special bounded lattices.