Vagueness and uncertainty have attracted the attention of philosophers
and logicians for many years. Recently, AI researchers contributed es
sentially to this area of research. Fuzzy set theory and the theory of
evidence are seemingly the most appealing topics. On this note we pre
sent a new approach, based on the rough set theory, for looking to the
se problems. The theory of rough sets seems a suitable mathematical to
ol for dealing with problems of vagueness and uncertainty. This paper
is a modified version of the author's lecture titled ''An inquiry into
vagueness and uncertainty,'' which was delivered at the Al Conference
in Wigry (Poland), 1994.