RT Journal Article
T1 Equivalent reference points in multiobjective programming
A1 Luque-Gallego, Mariano
A1 López-Agudo, Luis Alejandro
A1 Marcenaro-Gutiérrez, Óscar David
K1 Programación matemática
K1 Economía matemática
AB In this paper, we concentrate on reference point based methods in multiobjective programming to demonstrate, as main contribution, that the solution to a multiobjective optimization problem stays unchanged if the reference point is changed to any point on a set defined by means of the original reference point, the nondominated objective solution and some parameters of the ASF. Concretely, this new set of ‘‘equivalent reference points’’ is the convex linear combination of two straight lines, one containing the original reference point and the other a nondominated objective solution, where the slope of both straight lines is given by the inverses of the weights of the ASF. An illustrative example is used to show the results obtained and an empirical model (application with real data) allows us to highlight possible implications.
PB Elsevier
YR 2014
FD 2014-10-25
LK https://hdl.handle.net/10630/39372
UL https://hdl.handle.net/10630/39372
LA eng
NO Luque, M., López‐Agudo, L. A., Marcenaro‐Gutiérrez, O. D. (2015). “Equivalent reference points in Multiobjective Programming”. Expert Systems with Applications, 42(4), 2205‐2212
NO https://openpolicyfinder.jisc.ac.uk/id/publication/4628
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 20 ene 2026