This paper presents a method for defining a barycentric coordinate system on a -objective Pareto frontier that is constructed from nondomination levels calculated over subsets of the objectives taken at a time. Unlike past approaches, these “nondomination-level coordinates” are not limited by the dimensionality, convexity, or curvature of the frontier, and they have an inherent meaning as relative preferences for the competing objectives. This intuitive behavior makes the coordinates particularly useful as the basis for parametric models of the frontier and for conducting sensitivity studies and interactive trade-space exploration. The method is demonstrated on three mathematical example problems exhibiting different geometric properties and on a conceptual wing-sizing problem.
Nondomination-Level Coordinate System for Parameterizing and Exploring Pareto Frontiers
AIAA Journal ; 51 , 8 ; 1946-1959
2013-08-01
Article (Journal)
Electronic Resource
English
Concept Selection Using s-Pareto Frontiers
AIAA | 2003
|FRONTIER: Open System for Collaborative Design Using Pareto Frontiers
British Library Conference Proceedings | 1998
|