Commit fd010cbb authored by Markus Klinik's avatar Markus Klinik
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mcdm conclusion

parent a9bda43c
......@@ -28,6 +28,7 @@ But what if we find a hotel that is closer to the sea but more expensive, or the
This is the central problem of MCDM: \emph{It is not possible to compare objective vectors that are better in some and worse in other components}.
The result of MCDM is therefore usually a set of candidates that are pairwise incomparable.
These are called the \emph{non-dominated candidates}.
If we have exhaustively discovered all hotels at the desired destination, this set is called the \emph{Pareto front}.
\definecolor{myGreen}{RGB}{203,243,146}
\definecolor{myRed}{RGB}{243,146,146}
......@@ -107,7 +108,10 @@ Should we discover a hotel that falls into this area, we would immediately disca
The white areas to the upper-left and lower-right mark hotels that are closer but more expensive and cheaper but further away, respectively.
\Cref{fig:two-candidates} shows what happens when we discover a hotel that falls into a white area.
We have to remember it as a non-dominated candidate, and the shape of the red and green areas changes.
Once we have discovered all hotels in the area, we end up with a set of non-dominated hotels.
We have to remember it as a \emph{non-dominated} candidate, and the shape of the red and green areas changes.
Once we have discovered all hotels in the area, we end up with a set of non-dominated candidates.
Without further information about the candidates or personal preferences of the decision maker, this is all that MCDM can offer.
\subsection{Scalarization}
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