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fix labels in foundations

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hannes.kuchelmeister
2019-10-30 14:34:17 +01:00
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02_Proposal/sections/10_foundations.tex
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@@ -2,13 +2,13 @@
\label{ch:Foundations}
\section{Recommender System}
\label{Foundations:RecommenderSystem}
\label{sec:Foundations:RecommenderSystem}
A recommender system is a system that gives individualized recommendations to users to guide them through a large space of objects \cite[~ p. 331]{burkeHybridRecommenderSystems}.
\section{Product Configuration}
\label{Foundations:ProductConfiguration}
\label{sec:Foundations:ProductConfiguration}
Product configuration is a process consisting of a series of decision tasks whereby a product is constructed of components which interact with each other. During a configuration process no new components are created. Their interplay and specification is defined beforehand \cite[~ p. 42, 43]{sabinProductConfigurationFrameworksa1998}.
@@ -20,18 +20,18 @@ where \( V = \{v_1,\dots, v_n\} \) is a set of variables, \( D = dom : V \mapsto
\section{Group-Based Product Configuration}
\label{Foundations:GroupBasedProductConfiguration}
\label{sec:Foundations:GroupBasedProductConfiguration}
To define group-based product configuration we extend the definition (\ref{Foundations:ProductConfiguration}) to
To define group-based product configuration we extend the definition (\ref{sec:Foundations:ProductConfiguration}) to
\[
C_{PREF} = \bigcup
PREF_i \]
with preferences of user \( i \) as \( PREF_i \) \cite{ felferningGroupBasedConfiguration2016}.
\section{Group-Based Configuration-Solution}
\label{Foundations:GroupBasedConfigurationSolution}
\label{sec:Foundations:GroupBasedConfigurationSolution}
\ref{Foundations:ProductConfiguration} and \ref{Foundations:GroupBasedProductConfiguration} expand to a solution of a group-based configuration with the addition of variable assignments
\ref{sec:Foundations:ProductConfiguration} and \ref{sec:Foundations:GroupBasedProductConfiguration} expand to a solution of a group-based configuration with the addition of variable assignments
\[
C_{CONF} = \bigcup_{v_i \in V} \{ v_i = x_i \}, \ x_i \in dom(v_i)
\]