EXPONENTIAL TRANSFORMATION IN CONVEXIFYING A NONINFERIOR FRONTIER ANDEXPONENTIAL GENERATING METHOD

The convexification of a noninferior frontier can be achieved in an ap propriate equivalent objective space fbr general nonconvex multiobject ive optimization problems. Specifically, this paper proves that taking the exponentials of the objective functions can act as a convexificat ion scheme. This convexification scheme further leads to the exponenti al generating method that guarantees the identification of the entire set of noninferior solutions.