Notions of robust and 'classical' states for an open quantum system are int
roduced and discussed in the framework of the isometric-sweeping decomposit
ion. Using the predictability sieve proposed by Zurek [Phys. Rev. D 24 (198
1) 1516; 26 (1982) 1862], 'quasi-classical' states are defined. A number of
examples illustrating how the 'quasi-classical' states correspond to class
ical points in phase space connected with the measuring apparatus are prese
nted. (C) 2000 Published by Elsevier Science B.V.