Preliminaries -- Nonstandard Analysis -- Social Networks and Climate Change -- Climate Change and Consequences -- Fuzzy Soft Semigraphs and Graph Structures -- Directed Fuzzy Incidence Graphs -- Max-flow Min-cut Theorem for Directed Fuzzy Incidence Networks -- Cycle Connectivity of Fuzzy Graphs with Applications -- Neighborhood Connectivity in Fuzzy Graphs -- Cyclic Connectivity Status and Integrity Index of Fuzzy Graphs.