A New Method for Decision Making in Multi-Objective Optimization Problems

Oscar Augusto (1) , Bennis Fouad (1) , Stéphane Caro (1)

1 IRCCyN - Institut de Recherche en Communications et en Cybernétique de Nantes

Many engineering sectors are challenged by multi-objective optimization problems. Even if the idea behind these problems is simple and well established, the implementation of any procedure to solve them is not a trivial task. The use of evolutionary algorithms to find candidate solutions is widespread. Usually they supply a discrete picture of the non-dominated solutions, a Pareto set. Although it is very interesting to know the non-dominated solutions, an additional criterion is needed to select one solution to be deployed. To better support the design process, this paper presents a new method of solving non-linear multi-objective optimization problems by adding a control function that will guide the optimization process over the Pareto set that does not need to be found explicitly. The proposed methodology differs from the classical methods that combine the objective functions in a single scale, and is based on a unique run of non-linear single-objective optimizers.

Mots clés: engineering design optimization; multi-objective optimization; multi-attribute decision making; engineering design optimization.

Domaines: Electronique

Oscar Augusto, Bennis Fouad, Stéphane Caro. A New Method for Decision Making in Multi-Objective Optimization Problems. Pesquisa Operacional, 2012, 32 (3), pp.331-369. ⟨10.1590/S0101-74382012005000014⟩. ⟨hal-00914025⟩