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translated example to english
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@@ -54,29 +54,26 @@ The used characteristics and attributes are shown in \autoref{fig:Concept:Forest
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In this example there are a small group of users. The use case is a piece of forest and variables are for example harvesting activity, which trees to grow and accessibility for people.
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In this example there are a small group of users. The use case is a piece of forest and variables are for example harvesting activity, which trees to grow and accessibility for people.
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\begin{align}
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\begin{align}
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\begin{split}
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\begin{split}
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V = \{ & \textit{Heimisch}, \textit{Klimaresilient}, \textit{Verwertbar}, \textit{Ernteaufwand}, \\
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V = \{ & \textit{indigenous}, \textit{resilient}, \textit{usable}, \textit{effort}, \textit{quantity}, \textit{price}, \textit{accessibility} \},
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& \textit{Menge}, \textit{Preis}, \textit{Walderfahrung} \},
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\end{split} \notag \\
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\end{split} \notag \\
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\mathfrak{D}(\textit{Heimisch}) = \{ & \text{Gering}, \text{Mittel}, \text{Hoch}\}, \notag \\
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\mathfrak{D}(\textit{indigenous}) = \{ & \text{low}, \text{moderate}, \text{high}\}, \notag \\
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\mathfrak{D}(\textit{Klimaresilient}) = \{ & \text{Gering}, \text{Mittel}, \text{Hoch}\}, \notag \\
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\mathfrak{D}(\textit{resilient}) = \{ & \text{low}, \text{moderate}, \text{high}\}, \notag \\
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\mathfrak{D}(\textit{Verwertbar}) = \{ & \text{Gering}, \text{Mittel}, \text{Hoch}\}, \notag \\
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\mathfrak{D}(\textit{usable}) = \{ & \text{low}, \text{moderate}, \text{high}\}, \notag \\
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\mathfrak{D}(\textit{Ernteaufwand}) = \{ & \text{Motormanuel}, \text{Harvester}, \text{Vollautomatisch}\}, \notag \\
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\mathfrak{D}(\textit{effort}) = \{ & \text{manual}, \text{harvester}, \text{autonomous}\}, \notag \\
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\mathfrak{D}(\textit{Menge}) = \{ & \text{Keine}, \text{Gering}, \text{Hoch}\}, \notag \\
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\mathfrak{D}(\textit{quantity}) = \{ & \text{low}, \text{moderate}, \text{high}\}, \notag \\
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\mathfrak{D}(\textit{Preis}) = \{ & \text{Gering}, \text{Mittel}, \text{Hoch}\}, \notag\\
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\mathfrak{D}(\textit{price}) = \{ & \text{low}, \text{moderate}, \text{high}\}, \notag\\
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\mathfrak{D}(\textit{Walderfahrung}) = \{ & \text{Gering}, \text{Mittel}, \text{Intensiv}\},\notag \\
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\mathfrak{D}(\textit{accessibility}) = \{ & \text{low}, \text{moderate}, \text{high}\},\notag \\
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U = \{ & 1,2\} \notag\\
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U = \{ & 1,2\} \notag\\
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P = \{ & P_1, P_2\} \notag\\
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P = \{ & P_1, P_2\} \notag\\
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\begin{split}
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\begin{split}
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P_1 = \{ & (\text{Motormanuel}, 0.5), (\text{Harvester}, -0.3) \} \\
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P_1 = \{ & (\text{manual}, 0.5), (\text{harvester}, -0.3) \} \\
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& \cup \{ (d,0)\ |\ d \in \mathfrak{D}(i),\ i \in V,\ i \notin \{ \text{Motormanuel}, \text{Harvester}\} \ \} \
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& \cup \{ (d,0)\ |\ d \in \mathfrak{D}(i),\ i \in V,\ i \notin \{ \text{manual}, \text{harvester}\} \ \} \
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\end{split} \notag \\
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\end{split} \notag \\
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P_2 = \{ & (d,0)\ |\ d \in \mathfrak{D}(i),\ i \in V \} \notag \\
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P_2 = \{ & (d,0)\ |\ d \in \mathfrak{D}(i),\ i \in V \} \notag \\
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S = \{ & (\textit{Heimisch}, \text{Gering}), (\textit{Menge}, \text{Gering}) \} \notag \\
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S = \{ & (\textit{indigenous}, \text{low}), (\textit{quantity}, \text{moderate}) \} \notag \\
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\begin{split}
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\begin{split}
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S_F = \{ & (\textit{Heimisch}, \text{Gering}), (\textit{Klimaresilient}, \text{Gering}), (\textit{Verwertbar}, \text{Gering}), \\
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S_F = \{ & (\textit{indigenous}, \text{low}), (\textit{resilient}, \text{low}), (\textit{usable},\text{low}), (\textit{effort}, \text{manual}), \\
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& (\textit{Ernteaufwand}, \text{Motormanuel}),
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& (\textit{quantity}, \text{low}), (\textit{price},\text{high}),(\textit{accessibility}, \text{low}) \}
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(\textit{Menge}, \text{Keine}), (\textit{Preis}, \text{Hoch}),\\
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& (\textit{Walderfahrung}, \text{Gering}) \}
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\end{split} \notag
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\end{split} \notag
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\end{align}
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\end{align}
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\end{mdframed}
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\end{mdframed}
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