Makale detayı · 2023
Congruence Relations and Direct Decomposition of Uninorms on Bounded Lattices
World Scientific Pub Co Pte Ltd
- Yıl
- 2023
- ISSN
0218-4885- Tür
- article
Veri kaynağı ayrımı
- YÖKSİS YÖKSİS makale kaydı
- OpenAlex OpenAlex zenginleştirmesi (özet, atıf, konular)
Özet
İngilizce (OpenAlex)
In this paper, the concept of [Formula: see text]-compatible congruence and its related properties are studied. We also focus on homomorphism theorems for uninorms. Decomposition of uninorms is investigated via factor congruences, at first. Subsequently, we investigate decomposition of conjunctive and disjunctive uninorms, respectively. After all, we determine necessary and sufficient conditions for decomposition of some uninorms that are neither conjunctive nor disjunctive. In addition to all these, we shed light on the application of our results with the examples.
Konular
- Advanced Algebra and Logic
- Rough Sets and Fuzzy Logic
- Fuzzy and Soft Set Theory
Birincil konu Advanced Algebra and Logic