Decision Making under Uncertainty by Possibilistic Linear Programming Problems

Abstract

A decision making problem in an upper decision level is described in this chapter by a set of fuzzy satisfaction levels given by decision makers. Fuzzy solutions are used to approximate the feasible region of decision variables left by the given fuzzy satisfaction levels. Two different possibility distributions, i.e., symmetrical triangular possibility distributions and exponential possibility distributions are considered and their upper and lower possibility distributions are obtained. It can be said that a fuzzy solution associated with an upper possibility distribution leaves more rooms than the one associated with a lower possibility distribution.