Scenario-Based Uncertain Number Theory

This work reformulates classical Number Theory into the framework of Uncertain Mathematics using weak binary relations and global truth valuation operators over state spaces. By replacing rigid element-wise conditions with truth measures $\mathcal{V} \in [0,1]$, fundamental concepts such as divisibility, primality, and congruence are generalized to capture probabilistic and scenario-based spectral properties of uncertain integers. About the Author: Tran Manh Cuong Alumnus of Faculty of Mathematics and Informatics (K11) | Thai Nguyen University of Sciences – TNU Research Field: Mathematics of Uncertainty Email: [email protected] Phone: (+84) 353237140 Address: DJ7 Street, Thoi Hoa Ward, Ho Chi Minh City, Vietnam