On the Convergence of Uncertain Set Processes

Recently, the concept of uncertain set processes a was introduced. This process involves a sequence of uncertain sets that evolve over time. Various perspectives have been used to define the convergence of these processes. In this paper, we delve into these definitions and examine how they relate to one another. We demonstrate that while some convergence concepts imply others, the reverse is generally not true. Furthermore, we propose a new measure of convergence and investigate its relationship with existing measures. Each of our findings is illustrated with simple examples.