Connectivity in fuzzy incidence graphs (FIG) is studied in this article. Different connectivity aspects of fuzzy incidence graphs such as bonding pair, doubly bonding pair and incidence cut of pairs are discussed. Incidence connectivity and incidence connectivity of pairs are introduced and results similar to Whitney’s Theorem are presented. The concept of t-connected fuzzy incidence graphs are also studied and some characterizations are obtained. An application related with illegal migration is presented. The most vulnerable routes in the Mexican-US border are focussed on and corresponding risks are evaluated using t-conorms.
Mathew, S., & Mordeson, J. N. (2019). Incidence graph models for the analysis of active illegal immigration routes and human loss. In Studies in Systems, Decision and Control (Vol. 200, pp. 685–699). Springer International Publishing. https://doi.org/10.1007/978-3-030-12232-4_22