Upper and lower possibility distributions of fuzzy decision variables in upper level decision problems

In this paper, a kind of decision problem in upper-level decision-making systems is formalized by a set of fuzzy satisfaction levels offered by decision-makers. These fuzzy satisfaction levels leave some feasible region for decision variables. The exponential possibility distributions of decision variables are studied to obtain an approximate region for decision variables. Upper and lower possibility distributions are obtained to represent solutions with different fuzzy degrees in decision-making procedure.