Visualization of The Pareto Frontier
Visualization of the Pareto frontier is one of the a posteriori preference techniques of multi-objective optimization. The a posteriori preference techniques (see, for example,) provide an important class of multi-objective optimization techniques. Usually the a posteriori preference techniques include four steps: (1) computer approximates the Pareto frontier, i.e. the Pareto optimal set in the objective space; (2) the decision maker studies the Pareto frontier approximation; (3) the decision maker identifies the preferred point at the Pareto frontier; (4) computer provides the Pareto optimal decision, which output coincides with the objective point identified by the decision maker. From the point of view of the decision maker, the second step of the a posteriori preference techniques is the most complicated one. There are two main approaches to informing the decision maker. First, a number of points of the Pareto frontier can be provided in the form of a list (interesting discussion and references are given in ) or using Heatmaps. Alternative idea consists in visualizing the Pareto frontier.
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Famous quotes containing the word frontier:
“It is very perplexing how an intrepid frontier people, who fought a wilderness, floods, tornadoes, and the Rockies, cower before criticism, which is regarded as a malignant tumor in the imagination.”
—Edward Dahlberg (1900–1977)