Multiobjective Optimization, Scalarization, and Maximal Elements of Preorders
We characterize the existence of (weak) Pareto optimal solutions to the classical multiobjective optimization problem by referring to the naturally associated preorders and their finite (Richter-Peleg) multiutility representation. The case of a compact design space is appropriately considered by usi...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2018/3804742 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832548771576152064 |
|---|---|
| author | Paolo Bevilacqua Gianni Bosi Magalì Zuanon |
| author_facet | Paolo Bevilacqua Gianni Bosi Magalì Zuanon |
| author_sort | Paolo Bevilacqua |
| collection | DOAJ |
| description | We characterize the existence of (weak) Pareto optimal solutions to the classical multiobjective optimization problem by referring to the naturally associated preorders and their finite (Richter-Peleg) multiutility representation. The case of a compact design space is appropriately considered by using results concerning the existence of maximal elements of preorders. The possibility of reformulating the multiobjective optimization problem for determining the weak Pareto optimal solutions by means of a scalarization procedure is finally characterized. |
| format | Article |
| id | doaj-art-85218fdb5d474979bac1dbc5d36576e8 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-85218fdb5d474979bac1dbc5d36576e82025-02-03T06:13:11ZengWileyAbstract and Applied Analysis1085-33751687-04092018-01-01201810.1155/2018/38047423804742Multiobjective Optimization, Scalarization, and Maximal Elements of PreordersPaolo Bevilacqua0Gianni Bosi1Magalì Zuanon2DIA, Università di Trieste, 34127 Trieste, ItalyDEAMS, Università di Trieste, 34127 Trieste, ItalyDEM, Università di Brescia, 25122 Brescia, ItalyWe characterize the existence of (weak) Pareto optimal solutions to the classical multiobjective optimization problem by referring to the naturally associated preorders and their finite (Richter-Peleg) multiutility representation. The case of a compact design space is appropriately considered by using results concerning the existence of maximal elements of preorders. The possibility of reformulating the multiobjective optimization problem for determining the weak Pareto optimal solutions by means of a scalarization procedure is finally characterized.http://dx.doi.org/10.1155/2018/3804742 |
| spellingShingle | Paolo Bevilacqua Gianni Bosi Magalì Zuanon Multiobjective Optimization, Scalarization, and Maximal Elements of Preorders Abstract and Applied Analysis |
| title | Multiobjective Optimization, Scalarization, and Maximal Elements of Preorders |
| title_full | Multiobjective Optimization, Scalarization, and Maximal Elements of Preorders |
| title_fullStr | Multiobjective Optimization, Scalarization, and Maximal Elements of Preorders |
| title_full_unstemmed | Multiobjective Optimization, Scalarization, and Maximal Elements of Preorders |
| title_short | Multiobjective Optimization, Scalarization, and Maximal Elements of Preorders |
| title_sort | multiobjective optimization scalarization and maximal elements of preorders |
| url | http://dx.doi.org/10.1155/2018/3804742 |
| work_keys_str_mv | AT paolobevilacqua multiobjectiveoptimizationscalarizationandmaximalelementsofpreorders AT giannibosi multiobjectiveoptimizationscalarizationandmaximalelementsofpreorders AT magalizuanon multiobjectiveoptimizationscalarizationandmaximalelementsofpreorders |