Pareto Compliance of Multiobjective Optimization Indicators

It is expected that the criteria found for compliance with Pareto optimality can help to elucidate advantages and possible drawbacks of Delta_{p} and \Delta_{p,q} as performance indicators for the evaluation of Multiobjective Evolutionary Algorithms. This is a necessary step in view of the possibility to modify and generalize the averaged Hausdorff distance with the purpose of enhancing its usefulness for applications. Further work in this direction requires a detailed understanding of the behavior of these indicators.