In this research article, we initiate the novel idea of picture
fuzzy incidence graphs (PFIGs). We explain some innovative notions
comprising of picture fuzzy cut-vertices, picture fuzzy bridges, picture
fuzzy incidence cutpairs, and picture fuzzy incidence cut-vertices. Some
rudimentary theorems and essential results are also examined in the PFIGs.
Further, we determine the different concepts together with the order, size,
and certain kinds of degrees in PFIG. A new type of PFIGs namely,
complete picture fuzzy incidence graphs (CPFIGs) and complement of
(PFIGs) are also furnished. A comparative analysis of PFIGs with fuzzy
incidence graphs is also presented. Finally, an application of PFIGs in
the control of illegal transportation of people from India to America is
provided