A New Construction Method for Uninorms on a Bounded Lattice Through Uninorms on Its Subintervals
21st International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2026, Rome, İtalya, 15 - 19 Haziran 2026, cilt.3019 CCIS, ss.43-58, (Tam Metin Bildiri)
- Yayın Türü: Bildiri / Tam Metin Bildiri
- Cilt numarası: 3019 CCIS
- Doi Numarası: 10.1007/978-3-032-28994-0_4
- Basıldığı Şehir: Rome
- Basıldığı Ülke: İtalya
- Sayfa Sayıları: ss.43-58
- Anahtar Kelimeler: Bounded lattice, Neutral element, T-conorm, T-norm, Uninorm
- Karadeniz Teknik Üniversitesi Adresli: Evet
Özet
In this paper, we introduce two new methods for constructing uninorms on a bounded lattice L. These methods are based on the use of t-norms (or t-conorms) and uninorms defined on specific subsets of L. Unlike existing approaches that mainly rely on t-norms and t-conorms, our methods also use uninorms defined on subsets of L, which provide greater flexibility. We show that the proposed constructions extend several known methods in the literature and generate new classes of uninorms. Furthermore, several examples are given to illustrate the effectiveness and distinct features of the proposed methods.