Connectivity Concepts in Bipolar Fuzzy Incidence Graphs

Incidence graph can be used to model some non-deterministic intercommunication networks having extra vertex-edge relationship. For two opposite sided thinking (i.e. bipolarity), bipolar fuzzy graph (BFG) can be used for better solution in many problems of real life. In this article, the intuition of bipolar fuzzy incidence graph (BFIG) and its matrix form are proposed. Bipolar fuzzy incidence subgraph is defined with several properties. Incidence pairs, paths and connectivities between pairs in BFIGs are introduced. Different types of strong and cut pair in BFIGs are examined with their properties.