10.6084/m9.figshare.7482743.v1
T. SANTOS
T.
SANTOS
S. XAVIER
S.
XAVIER
A Convergence Indicator for Multi-Objective Optimisation Algorithms
SciELO journals
2018
Shannon Entropy
Performance Measure
Multi-Objective Optimisation Algorithms
2018-12-19 03:25:19
Dataset
https://scielo.figshare.com/articles/dataset/A_Convergence_Indicator_for_Multi-Objective_Optimisation_Algorithms/7482743
<div><p>ABSTRACT The algorithms of multi-objective optimisation had a relative growth in the last years. Thereby, it requires some way of comparing the results of these. In this sense, performance measures play a key role. In general, it’s considered some properties of these algorithms such as capacity, convergence, diversity or convergence-diversity. There are some known measures such as generational distance (GD), inverted generational distance (IGD), hypervolume (HV), Spread (∆), Averaged Hausdorff distance (∆ p ), R2-indicator, among others. In this paper, we focuses on proposing a new indicator to measure convergence based on the traditional formula for Shannon entropy. The main features about this measure are: 1) It does not require to know the true Pareto set and 2) Medium computational cost when compared with Hypervolume.</p></div>