Multiobjective Optimization Involving Quadratic Functions

Figure 2

Graphical representation of Proposition 1. The continuous Pareto set as the locus, where objective function gradients are parallel and opposite.

(a) Continuous Pareto set obtained by the proposed method

(b) Continuous Pareto front, the Pareto set image in the function space

(c) Pareto set for the performance functions and obtained by the NSGA II algorithm

(d) Pareto front for performance functions and obtained by the NSGA II algorithm