Fuzzy networks: What happens when fuzzy people are connected through social networks

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 (sdv), basic center-sdv, chain-in-center, chain-in-sdv, self-feedback and some other connections. We derive the membership functions resulting from these connections that reveal how the fuzziness is propagated through the networks, and we explain what the mathematical results mean with respect to human behaviors.