What Is Optimization Toolbox?

3 Standard Algorithmsto characterize the objectives. A noninferior solution is one in which animprovement in one objective requires a degradation of another. To definethis concept more precisely, consider a feasible region, ,intheparameterspace x is an element of the n-dimensional real numbers that satisfiesall the constraints, i.e.,(3-45)subject toThis allows definition of the corresponding feasible region for the objectivefunction space .The performance vector, F(x), maps parameter space into objective functionspace, as represented in two dimensions in the figure below.(3-46)Figure 3-7:Mapping from Parameter Space into Objective Function SpaceA noninferior solution point can now be defined.Definition: point is a noninferior solution if for some neighborhood ofthere does not exist a such that and3-44