We have been proposing a framework Rough Nondeterministic Information Analysis (RNIA), which handles rough sets based concepts in not only Deterministic Information Systems (DISs) but also Non-deterministic Information Systems (NISs). This paper surveys the overview of RNIA, and clarifies modal logic concepts, i.e., certainty and possibility, or the minimum and the maximum values, for analyzing data tables with non-deterministic information.