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:

    “With a generous endowment of motherhood provided by legislation, with all laws against voluntary motherhood and education in its methods repealed, with the feminist ideal of education accepted in home and school, and with all special barriers removed in every field of human activity, there is no reason why woman should not become almost a human thing. It will be time enough then to consider whether she has a soul.”
    —Crystal Eastman (1881–1928)