Methods for Constructing Implications on Bounded Posets
21st International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2026, Rome, İtalya, 15 - 19 Haziran 2026, cilt.3021 CCIS, ss.339-350, (Tam Metin Bildiri)
- Yayın Türü: Bildiri / Tam Metin Bildiri
- Cilt numarası: 3021 CCIS
- Doi Numarası: 10.1007/978-3-032-29000-7_24
- Basıldığı Şehir: Rome
- Basıldığı Ülke: İtalya
- Sayfa Sayıları: ss.339-350
- Anahtar Kelimeler: Aggregation functions, Bounded poset, Implication operator, Increasing function in both arguments, Neutral element 1 (0), T-Conorm, T-norm
- Karadeniz Teknik Üniversitesi Adresli: Evet
Özet
In this paper, we present several construction methods for implication operators on bounded posets through functions that are increasing in each argument and possess a neutral element 0 or 1, together with the necessary and sufficient conditions. In addition, we obtain some propositions and results from these construction methods. Additionally, we provide examples on bounded lattices and general posets to clarify these construction methods.