| dbo:abstract
|
- The Interactive Decision Maps technique of multi-objective optimization is based on approximating the Edgeworth-Pareto Hull (EPH) of the feasible objective set, that is, the feasible objective set broadened by the objective points dominated by it. Alternatively, this set is known as Free Disposal Hull. It is important that the EPH has the same Pareto front as the feasible objective set, but the bi-objective slices of the EPH look much simpler. The frontiers of bi-objective slices of the EPH contain the slices of the Pareto front. It is important that, in contrast to the Pareto front itself, the EPH is usually stable in respect to disturbances of data. The IDM technique applies fast on-line display of bi-objective slices of the EPH approximated in advance. Since the bi-objective slices of the EPH for two selected objectives are extending (or shrinking) monotonically, while the value of one of the other objectives (the "third" objective) changes monotonically, the frontiers of the slices of the EPH, for which the values only of the "third" objective changes, do not intersect. This is why a figure with superimposed bi-objective slices of the EPH looks like an ordinary topographical map and is named the decision map, too. To study the influence of the other (fourth, fifth, etc.) objectives, one can use animation of the decision maps. Such animation is possible due to the preliminary approximating the EPH. Alternatively, one can study various collections of snap-shots of the animation. Computers can visualize the Pareto front in the form of decision maps for linear and nonlinear decision problems for three to about eight objectives. Computer networks are able to bring, for example, Java applets that display graphs of the Pareto fronts on request. Real-life applications of the IDM technique are described in. (en)
|
| dbo:thumbnail
| |
| dbo:wikiPageID
| |
| dbo:wikiPageLength
|
- 7449 (xsd:nonNegativeInteger)
|
| dbo:wikiPageRevisionID
| |
| dbo:wikiPageWikiLink
| |
| dbp:wikiPageUsesTemplate
| |
| dcterms:subject
| |
| rdfs:comment
|
- The Interactive Decision Maps technique of multi-objective optimization is based on approximating the Edgeworth-Pareto Hull (EPH) of the feasible objective set, that is, the feasible objective set broadened by the objective points dominated by it. Alternatively, this set is known as Free Disposal Hull. It is important that the EPH has the same Pareto front as the feasible objective set, but the bi-objective slices of the EPH look much simpler. The frontiers of bi-objective slices of the EPH contain the slices of the Pareto front. It is important that, in contrast to the Pareto front itself, the EPH is usually stable in respect to disturbances of data. The IDM technique applies fast on-line display of bi-objective slices of the EPH approximated in advance. (en)
|
| rdfs:label
|
- Interactive Decision Maps (en)
|
| owl:sameAs
| |
| prov:wasDerivedFrom
| |
| foaf:depiction
| |
| foaf:isPrimaryTopicOf
| |
| is dbo:wikiPageWikiLink
of | |
| is foaf:primaryTopic
of | |
