A Variational Approach for the Determination of Continuous Pareto Frontier for Multi-objective Problems

  • 4 years ago
In this paper, a novel approach is proposed to generate set of Pareto points to represent the optimal solutions along the Pareto frontier. This approach, which introduces a new definition of dominance, can be interpreted as a representation of the solution of the multi-objective optimization under the form of the solution of a problem in variational calculus. The method deals with both convex and non-convex problems. In order to validate the method, multi-objective numerical optimization problems are considered.

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