Affiliations: Department Ingeniería de la Información y las Comunicaciones, Facultad de Informática, Universidad de Murcia, Murcia, Spain | Universiti Teknologi Petronas, Malaysia
Note: [] Corresponding author. F. Jiménez, Department Ingeniería de la Información y las Comunicaciones, Facultad de Informática, Universidad de Murcia, Murcia, Spain. Tel: +34 868 88 4630; Fax: +34 868 88 4151; E-mail: fernan@um.es
Abstract: In this paper we propose a multi-objective optimization approach to solve nonlinear fuzzy optimization problems. Solutions in the Pareto front correspond with the fuzzy solution of the former fuzzy problem expressed in terms of the group of three parameters (x*, μ, α), i.e., optimal solution - degree of satisfaction - vagueness factor. The decision maker could choose, in a posteriori decision environment, the most convenient optimal solution according to his degree of satisfaction and vagueness factor. Additionally, an ad-hoc Pareto-based multi-objective evolutionary algorithm, ENORA-II, is proposed and validated in a production planning optimization environment. A real-world industrial problem for product-mix selection involving 8 decision variables and 21 constraints with fuzzy coefficients is considered as case study. ENORA-II has been evaluated with the existing methodologies in the field and results have been compared with the well-known multi-objective evolutionary algorithm NSGA-II.
Keywords: Fuzzy optimization, production planning, pareto-based multi-objective evolutionary algorithms, NSGA-II
