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We propose a new mathematical framework for the evolution and propagation of opinions, called fuzzy opinion network, which is the connection of a number of Gaussian nodes, possibly through some weighted average, time delay, or logic operators, where a Gaussian node is a Gaussian fuzzy set with the center and the standard deviation being the node inputs and the fuzzy set itself being the node output...
A fuzzy node is a fuzzy set whose membership function contains some uncertain parameters. Two fuzzy nodes are connected if the uncertain parameter of one node is provided by the fuzzy set from the other node. A fuzzy network is a connection of a number of fuzzy nodes. We define Gaussian Fuzzy Networks and study a number of basic connections in details, including basic center, basic standard deviation...
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