Genereliaed Upper and Lower Approixmations for Anti-Topology and their Structral Properties

Abstract

 This paper aims to study roughness in Ant-topology. In addition, we performed a comparison with approximations in classical topology. We found that the boundaries become wider as ambiguity increases, reflecting a more accurate model of uncertainty and approximation in complex. Moreover, we explain how effect of rough approximation on the result of ant-topology by creating more space for ambiguity and approximation, allowing for better modeling accuracy of phenomena characterized by high uncertainty, despite increased mathematical complexity.