In this paper a Markovian decision process with fuzzy states is consid
ered. It is shown that if the Markov chain associated with the process
of non-fuzzy states is irreducible, then the corresponding Markov cha
in associated with the fuzzy states is also il reducible. The importan
ce of this result lies in the fact that the traditional methods for so
lving the Markovian decision process can be used in the case with fuzz
y states also. (C) 1998 Elsevier Science B.V. All rights reserved.