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Simple example with Four Points

Potential Pareto Optimality for four hyperintervals on different $\sigma$-levels.
In this example, for every value of $\alpha_1$ and $\alpha_2$ the virtual lower bound for $F_2$ is dominated by the virtual lower bound for one of $F_1$, $F_3$ and $F_4$. Therefore $F_2$ is not Potentially Pareto Optimal.

Figure 6(d) of "On the Extension of the DIRECT Algorithm to Multiple Objectives" by A. Lovison and K. Miettinen.

Figure 6(d) of "On the Extension of the DIRECT Algorithm to Multiple Objectives" by A. Lovison and K. Miettinen.