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:

    “How can you tell if you discipline effectively? Ask yourself if your disciplinary methods generally produce lasting results in a manner you find acceptable. Whether your philosophy is democratic or autocratic, whatever techniques you use—reasoning, a “star” chart, time-outs, or spanking—if it doesn’t work, it’s not effective.”
    —Stanley Turecki (20th century)