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 sy stems is formalized by a set of fuzzy satisfaction levels offered by decisi on-makers. These fuzzy satisfaction levels leave some feasible region for d ecision variables. The exponential possibility distributions of decision va riables are studied to obtain an approximate region for decision variables. Upper and lower possibility distributions are obtained to represent soluti ons with different fuzzy degrees in decision-making procedure. (C) 2000 Els evier Science B.V. All rights reserved.