Multi-objective Optimization - No-preference Methods

No-preference Methods

Multiobjective optimization methods that do not require any preference information to be explicitly articulated by a decision maker can be classified as no-preference methods. A well-known example is the method of global criterion, in which a scalarized problem of the form

\begin{align} \min&\|f(x)-z^{ideal}\|\\ \text{s.t. }&x\in X \end{align}

is solved. In the above problem, can be any norm, with common choices including, and . The method of global criterion is sensitive to the scaling of the objective functions, and thus, it is recommended that the objectives are normalized into a uniform, dimensionless scale,.

Read more about this topic:  Multi-objective Optimization

Famous quotes containing the word methods:

    “Commerce is unexpectedly confident and serene, alert, adventurous, and unwearied. It is very natural in its methods withal, far more so than many fantastic enterprises and sentimental experiments, and hence its singular success.”
    —Henry David Thoreau (1817–1862)