Investigation on a non-convex Pareto Frontier(for MOO)

Three aggregate objective functions (AOF), the weighted sum, Tchebycheff and the weighted Lk-metric, are investigated respectively.

This is one of the basic experiments to support my recent paper as follows,

C. Xiao, D. Sutanto, K. M. Muttaqi and M. Zhang, "A Judicious Decision-Making Approach for Power Dispatch in Smart Grid Using a Multiobjective Evolutionary Algorithm Based on Decomposition," in IEEE Transactions on Industry Applications, vol. 56, no. 2, pp. 1918-1929, March-April 2020, doi: 10.1109/TIA.2019.2960478.

Three code-segments are provided respectively to investigate the performance while obtaining the scalarized non-convex PF by using different trade-off levels. The simulation results are helpful for researchers to make sense of the multi-objective optimization algorithms based on decomposition (e.g. MOEA/D).