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,.

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