get_fixed_rowsum_integer_matrix function

Determine the division points on the hyperplane

Implementation of the recursive function in Generation of Reference points of Das and Dennis..

get_fixed_rowsum_integer_matrix(m, h)

Arguments

• m, h: Number of reference points 'h' in M-objective problems

Returns

A matrix with the reference points uniformly distributed.

Details

The implemented Reference Point Generation is based on the Das and Dennis's systematic approach that places points on a normalized hyper-plane which is equally inclined to all objective axes and has an intercept of one on each axis.

References

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.

Das, Indraneel & Dennis, J.. (2000). Normal-Boundary Intersection: A New Method for Generating the Pareto Surface in Nonlinear Multicriteria Optimization Problems. SIAM Journal on Optimization. 8. 10.1137/S1052623496307510.

See Also

non_dominated_fronts() and generate_reference_points()

Author(s)

Francisco Benitez benitezfj94@gmail.com