In the information age, the decision-making process depends on data analysis. Most life problems are characterized by indeterminacy. In this research, we study data tables that change with time (changing information systems) and we use the concept of uncertain probabilities to introduce stochastic variables in data tables that changed over time. The uncertain probabilities are based on constructing neighborhoods on the set of objects in information systems and use topological approximations. Some examples are given to indicate the suggested approach. These concepts help in obtaining decisions using mathematical models in which no codes are used, or converting verbal variables into digital, and this helps to make approximations close to reality.