Function that associates each member of the population with a reference point. The function calculates the perpendicular distance of each individual from each of the reference lines. This code section corresponds to Algorithm 3 of the referenced paper.
associate_to_niches(object, utopian_epsilon = 0)
compute_perpendicular_distance(x, y)
compute_niche_count(n_niches, niche_of_individuals)Returns a list with the niche count of individuals and the distances between them.
An object of class "nsga3".
The epsilon used for decrease the ideal point to get the utopian point.
Individuals to calculate their niche.
Reference points.
Number of reference points.
The niche count of individuals, except the last front.
Francisco Benitez
J. Blank and K. Deb, "Pymoo: Multi-Objective Optimization in Python," in IEEE Access, vol. 8, pp. 89497-89509, 2020, doi: 10.1109/ACCESS.2020.2990567.
K. Deb and H. Jain, "An Evolutionary Many-Objective Optimization Algorithm Using Reference-Point-Based Nondominated Sorting Approach, Part I: Solving Problems With Box Constraints," in IEEE Transactions on Evolutionary Computation, vol. 18, no. 4, pp. 577-601, Aug. 2014, doi: 10.1109/TEVC.2013.2281535.