This paper presents a method for defining a barycentric coordinate system on a k -objective Pareto frontier that is constructed from nondomination levels calculated over subsets of the objectives taken k 1 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.


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    Title :

    Nondomination-Level Coordinate System for Parameterizing and Exploring Pareto Frontiers


    Contributors:

    Published in:

    AIAA Journal ; 51 , 8 ; 1946-1959


    Publication date :

    2013-08-01




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English





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