Sunil Mathew - Assistant Professor, Department of Mathematics, NIT Calicut
John Mordeson - Creighton University
Hai-Long Yang - Shaanxi Normal University China

Fuzzy incidence graphs can be used as models for nondeterministic interconnection networks having extra node-edgerelationships. For example, ramps in a highway system may be modeled as a fuzzy incidence graph so that unexpectedflow between cities and highways can be effectively studied and controlled. Like node and edge connectivity in graphs,node connectivity and arc connectivity in fuzzy incidence graphs are introduced in this article. Their relationships withfuzzy connectivity parameters are discussed and results similar to Whitney’s theorems are obtained. Also, the incidenceis used to model flows in human trafficking networks.

Fuzzy incidence graph, Incidence cut, Cutpair, Complete fuzzy incidence, Human trafficking