Abstract: “Proposing a multi-objective method is a common part of the process of supporting the decision-making process in population problems. This with the goal of motivating the selection of projects that help the population sector that has scarce water and drainage services at home. The method should provide a set of solutions that reflect the urgency to attend this population sector. Each solution is a set of geographical zone partitions formed by geographical units that fulfill the geometric compactness and homogeneity criteria, this homogeneity is given by the variable named "private houses without tap water, drainage network nor electricity services". We present basic theoretical aspects about the multiobjective methodology and a method supported on the order theory to find the Pareto Frontier. Given that the problem solves a kind of partitioning that optimizes two quality measures, the approximation to the optimal solution is made with variable neighborhood search (VNS). Once we obtained”

Keywords: grouping, multiobjective, population, pareto frontier.