Methodology to select solutions from the pareto-optimal set: a comparative study

The resolution of a Multi-Objective Optimization Problem (MOOP) does not end when the Pareto-optimal set is found. In real problems, a single solution must be selected. Ideally, this solution must belong to the non-dominated solutions set and must take into account the preferences of a Decision Maker (DM). Therefore, the searching for a single solution (or solutions) in MOOP is done in two steps. First, a Pareto optimal set is found. Multi-Objective Evolutionary Algorithms (MOEA), based on the principle of Pareto optimality, are designed to produce the complete set of non-dominated solutions. Second, a methodology able to select a single solution from the set of non-dominated solutions (or a region of the Pareto frontier), and taking into account the preferences of a Decision Maker (DM), can be applied. In this work, a method, based on a weighted stress function, is proposed. It is able to integrate the user’s preferences in order to find the best region of the Pareto frontier accor...

• Type: Conference
• Year: 2007
• Where: GECCO
• Authors: José C. Ferreira, Carlos M. Fonseca, António Gaspar-Cunha
• Keywords: GECCO 2007, Non-dominated Solutions, Pareto Frontier, Single Solution