Rough Convergence for Generalized Difference Sequences by a Compact Operator in Probabilistic \(n\)-Normed Spaces

Using compact operator in probabilistic \(n\)-normed spaces, we develop and investigate the notion of rough convergence for generalized difference sequences. In relation to rough convergence in probabilistic \(n\)-normed spaces, certain fundamental conclusions regarding the concept of rough limit points for a difference sequence are defined.