this is for holding javascript data
Davide Grossi edited section_Binary_Aggregation_and_DeGroot__.tex
about 8 years ago
Commit id: 71bf0e6aa98c9e80dbd4766a43ad2703af0ea4c3
deletions | additions
diff --git a/section_Binary_Aggregation_and_DeGroot__.tex b/section_Binary_Aggregation_and_DeGroot__.tex
index 2034746..b4699fa 100644
--- a/section_Binary_Aggregation_and_DeGroot__.tex
+++ b/section_Binary_Aggregation_and_DeGroot__.tex
...
A binary aggregation structure (\emph{BA structure}) is a tuple $\S = \tuple{\N,\Atoms}$ where:
\begin{itemize}
\item $\N = \set{1,\dots,n}$ is a finite set individuals s.t. $|\N|= n \in \mathbb{N}$;
\item $\Atoms = \set{p_1,\dots,p_m}$ is a finite set of
issues, issues ($|\Atoms|= m \in \mathbb{N}$), each represented by a propositional atom.
\end{itemize}
We denote with $\L$ the propositional language constructed by closing $\Atoms$ under a functionally complete set of Boolean connectives (e.g., $\set{\neg, \wedge}$).
An {\em opinion} $O: \Atoms \to \{0,1\}$ is an assignment of truth values to the set of issues $\Atoms$