add disclaimer about self created metric to metric section

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hannes.kuchelmeister
2020-03-31 11:01:20 +02:00
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@@ -10,12 +10,10 @@ Generate groups with preferences (explicit preferences) and configuration state
\section{Metric}
\label{sec:Evaluation:Metrics}
For the evaluation a metric to evaluate by is needed. The proposed metric for usage is that of satisfactions. Satisfaction is quantified in this thesis by a threshold metric. A user's preference is used to calculate a rating for each possible solution. The score will be calculated using the average of a user's rating for each characteristic that is part of the solution. The result allows that a configuration can be compared to all other configurations and ranked according to the percentage of configurations that it beats. The threshold metric consists of two parameters. First the threshold center $tc$ and second the satisfaction distance $sd$. The threshold for a person being satisfied is $tc + sd$ and of a person being dissatisfied at $tc - sd$. If a recommendation lies in between these two thresholds the person is classified to neither by satisfied nor be unsatisfied with the solution. For this thesis $sd=5\%$ will be used. This choice is guided by the assumption that people switch from satisfied to unsatisfied rather quickly. Therefore the parameter considered in this thesis is the $tc$. An example is the choice of $tc = 60\%$. This results in a person being satisfied if recommendation is better than at lest $65\%$ of possible finished configurations. Moreover, a person is dissatisfied if the recommendation is only better than $55\%$ of possible finished configurations. A recommendation that is better than at least $55\%$ and not better than $65\%$ of possible solutions is considered neutral by the individual.
For the evaluation a metric to evaluate by is needed. The proposed metric for usage is that of satisfactions. This metric has been newly created because existing literature did not provide metrics usable for this thesis. Satisfaction is quantified in this thesis by a threshold metric. A user's preference is used to calculate a rating for each possible solution. The score will be calculated using the average of a user's rating for each characteristic that is part of the solution. The result allows that a configuration can be compared to all other configurations and ranked according to the percentage of configurations that it beats. The threshold metric consists of two parameters. First the threshold center $tc$ and second the satisfaction distance $sd$. The threshold for a person being satisfied is $tc + sd$ and of a person being dissatisfied at $tc - sd$. If a recommendation lies in between these two thresholds the person is classified to neither by satisfied nor be unsatisfied with the solution. For this thesis $sd=5\%$ will be used. This choice is guided by the assumption that people switch from satisfied to unsatisfied rather quickly. Therefore the parameter considered in this thesis is the $tc$. An example is the choice of $tc = 60\%$. This results in a person being satisfied if recommendation is better than at lest $65\%$ of possible finished configurations. Moreover, a person is dissatisfied if the recommendation is only better than $55\%$ of possible finished configurations. A recommendation that is better than at least $55\%$ and not better than $65\%$ of possible solutions is considered neutral by the individual.
Different $tc$ values allow to model different situations. A situation where there is a low willingness to compromise is modelled by a high $tc$. A contrary situation where a group has a high willingness to compromise is modelled by a low $tc$.
\todo[inline]{add disclaimer that this metric is a new one not found in literature because no fitting metric was found}
\section{Questions to Answer During the Evaluation}
\label{sec:Evaluation:Questions}