This paper deals with a portfolio selection problem with independently esti
mated possibilistic return rates. Under such a circumstance, a distributive
investment has been regarded as a good solution in the traditional portfol
io theory. However, the conventional possibilistic approach yields a concen
trated investment solution. Considering the reason why a distributive inves
tment is advocated, a new approach to the possibilistic portfolio selection
is proposed. (C) 2000 Elsevier Science B.V. All rights reserved.