Responses’ prediction standard error analysis in pareto solutions

Abstract

A Pareto front provides to the decision-maker a set of optimal solutions from where a unique solution should be selected to solve a multiresponse problem. However, the responses’ prediction standard error for each one of the optimal solutions is different, which impacts on the reproducibility of Pareto solutions. This means that the decision-maker has to take into account the responses’ prediction standard error in the solution selection process. For this purpose, a metric to assess the solutions quality of prediction is suggested. A bi-objective problem is used as example and results displayed graphically.