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add part about attributes and characteristcs

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hannes.kuchelmeister
2020-02-25 16:26:48 +01:00
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25_Outline/sections/20_foundations.tex
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@@ -10,11 +10,11 @@ Formally a configuration problem can be specified as a \emph{constraint satisfac
\begin{equation} \label{eq:Foundations:ProductConfiguration:ConstraintSatisfactionProblem} \begin{equation} \label{eq:Foundations:ProductConfiguration:ConstraintSatisfactionProblem}
CSP(V,\mathfrak{D},C), CSP(V,\mathfrak{D},C),
\end{equation} \end{equation}
where we have a set of \emph{variables} $V$ with where we have a set of \emph{variables} $V$ (which in this thesis will also be referred to as \emph{features}) with
\begin{equation} \label{eq:Foundations:ProductConfiguration:Variables} \begin{equation} \label{eq:Foundations:ProductConfiguration:Variables}
V = \{v_1, \dotsc, v_m\}, V = \{v_1, \dotsc, v_m\},
\end{equation} \end{equation}
a \emph{domain mapping} $\mathfrak{D}$ that maps variable to their corresponding domain values $D$ i.e. the values that can be assigned to each variable a \emph{domain mapping} $\mathfrak{D}$ that maps variable to their corresponding domain values $D$ (which in this thesis will be also referred to as \emph{characteristics}) i.e. the values that can be assigned to each variable
\begin{equation}\label{eq:Foundations:ProductConfiguration:DomainMapping} \begin{equation}\label{eq:Foundations:ProductConfiguration:DomainMapping}
\mathfrak{D} : V \to D; x \mapsto \mathfrak{D}(x) \qquad where \ D = \{d_1, \dotsc, d_o\}, \mathfrak{D} : V \to D; x \mapsto \mathfrak{D}(x) \qquad where \ D = \{d_1, \dotsc, d_o\},
\end{equation} \end{equation}