Mathematical sub-flow graphs with application to social networks analysis

Decision analysis based on information flow distribution from a given data set can be accomplished using a rough set flow graph. A key property is that every branch of a flow graph can be interpreted as a decision rule with three associated coefficients. In order to see flow distribution of some specific attributes or values of any attribute, we introduce two new sub-flow graphs and corresponding formulas to calculate their coefficients. To demonstrate our new analysis techniques, we provide examples on social networks.