To define optimality when we are in presence of several conflicting objectives, we need “good” definition of order in Rp. After this, we can study many types of problems: existence of solutions, optimality conditions, and solution methods.
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Pappalardo, M. (2008). Multiobjective Optimization: A Brief Overview. In: Chinchuluun, A., Pardalos, P.M., Migdalas, A., Pitsoulis, L. (eds) Pareto Optimality, Game Theory And Equilibria. Springer Optimization and Its Applications, vol 17. Springer, New York, NY. https://doi.org/10.1007/978-0-387-77247-9_19
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