| Title:
|
Weighted scalarization related to $L_p$-metric and pareto optimality (English) |
| Author:
|
Šipošová, Alexandra |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
44 |
| Issue:
|
5 |
| Year:
|
2008 |
| Pages:
|
731-740 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Relations between (proper) Pareto optimality of solutions of multicriteria optimization problems and solutions of the minimization problems obtained by replacing the multiple criteria with $L_p$-norm related functions (depending on the criteria, goals, and scaling factors) are investigated. (English) |
| Keyword:
|
multicriteria optimization |
| Keyword:
|
(proper) Pareto optimality |
| Keyword:
|
scalarization |
| Keyword:
|
$L_p$-norm |
| MSC:
|
90C29 |
| idZBL:
|
Zbl 1180.90281 |
| idMR:
|
MR2479315 |
| . |
| Date available:
|
2009-09-24T20:39:34Z |
| Last updated:
|
2012-06-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/135885 |
| . |
| Reference:
|
[1] Ehrgott M.: Multicriteria Optimization.Springer–Verlag, Berlin 2000. Second edition Springer, Berlin 2005 Zbl 1132.90001, MR 2143243 |
| Reference:
|
[2] Figueira J., Greco, S., Ehrgott M.: Multiple criteria decision analysis: State of the art surveys.Kluwer Academic Publishers, Boston – Dordrecht – London 2005 Zbl 1060.90002 |
| Reference:
|
[3] Franklin J.: Methods of Mathematical Economics.Linear and Nonlinear Programming. Fixed-Point Theorems. Springer, New York 1980 Zbl 1075.90001, MR 0602694 |
| Reference:
|
[4] Geoffrion A. M.: Proper efficiency and the theory of vector maximization.J. Math. Anal. Appl. 22 (1968) 618–630 Zbl 0181.22806, MR 0229453 |
| Reference:
|
[5] Maňas M.: Game Theory and its Applications (in Czech).SNTL, Prague 1991 |
| Reference:
|
[6] Ogryczak W.: Comments on properties of the minmax solution in goal programming.European J. Oper. Res. 132 (2001), 17–21 MR 1831852 |
| Reference:
|
[7] Romero C.: Multi-objective and goal-programming approaches as a distance function model.J. Operat. Res. Soc. 36 (1985), 3, 249–251 Zbl 0555.90093 |
| Reference:
|
[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 0937.90048 |
| . |
