Keywords: multicriteria optimization; (proper) Pareto optimality; scalarization; $L_p$-norm
@article{KYB_2008_44_5_a8,
author = {\v{S}ipo\v{s}ov\'a, Alexandra},
title = {Weighted scalarization related to $L_p$-metric and pareto optimality},
journal = {Kybernetika},
pages = {731--740},
year = {2008},
volume = {44},
number = {5},
mrnumber = {2479315},
zbl = {1180.90281},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KYB_2008_44_5_a8/}
}
Šipošová, Alexandra. Weighted scalarization related to $L_p$-metric and pareto optimality. Kybernetika, Tome 44 (2008) no. 5, pp. 731-740. http://geodesic.mathdoc.fr/item/KYB_2008_44_5_a8/
[1] Ehrgott M.: Multicriteria Optimization. Springer–Verlag, Berlin 2000. Second edition Springer, Berlin 2005 | MR | Zbl
[2] Figueira J., Greco, S., Ehrgott M.: Multiple criteria decision analysis: State of the art surveys. Kluwer Academic Publishers, Boston – Dordrecht – London 2005 | Zbl
[3] Franklin J.: Methods of Mathematical Economics. Linear and Nonlinear Programming. Fixed-Point Theorems. Springer, New York 1980 | MR | Zbl
[4] Geoffrion A. M.: Proper efficiency and the theory of vector maximization. J. Math. Anal. Appl. 22 (1968) 618–630 | MR | Zbl
[5] Maňas M.: Game Theory and its Applications (in Czech). SNTL, Prague 1991
[6] Ogryczak W.: Comments on properties of the minmax solution in goal programming. European J. Oper. Res. 132 (2001), 17–21 | MR
[7] Romero C.: Multi-objective and goal-programming approaches as a distance function model. J. Operat. Res. Soc. 36 (1985), 3, 249–251 | Zbl
[8] Tamiz M., Jones, D., Romero C.: Goal programming for decision making: An overview of the current state-of-the-art. European J. Oper. Res. 111 (1998), 569–581 | Zbl