RT info:eu-repo/semantics/article
T1 Efficient solutions in uncertain multiobjective optimization with countably many scenarios
A1 Gutiérrez, C.
A1 Hernández, E.
K1 Uncertainty
K1 Multiobjective optimization
K1 Vector optimization
K1 Efficient solution
K1 Robust solution
K1 Linear scalarization
K1 Existence theorem
K1 Convex quadratic Pareto optimization
AB We use a vector approach to address, from an efficient point of view, an uncertainunconstrained multiobjective optimization problem with countably many scenarios. Specifically, weintroduce several efficient solution notions that work not only in the Pareto case, but also when thepreferences in the image space depend on the scenario and they are defined by a convex cone in theusual way. We state basic properties of these notions and we relate the involved solution sets withother well-known solution sets of the literature. Particularly, it is shown that the so-called highlysolutions are a particular case of efficient solutions. In addition, we obtain characterizations throughsolutions of associated scalar optimization problems and we derive existence theorems. Finally, twoapplications are provided to illustrate the main results.
SN 1052-6234
YR 2026
FD 2026
LK https://uvadoc.uva.es/handle/10324/83421
UL https://uvadoc.uva.es/handle/10324/83421
LA spa
NO SIAM Journal on Optimization, March 2026, vol. 36, n. 1, p. 409-433.
NO Producción Científica
DS UVaDOC
RD 16-mar-2026