Inverse Fuzzy Mixed Planar Graphs with Application

The idea of inverse fuzzy mixed graph (IFMG) was firstly introduced by Poulik and Ghorai (Granul Comput 7:549–559, 2021) in 2021 generalizing the idea of fuzzy mixed graphs. Here the idea of planarity is introduced in the more generalized setting of IFMGs using the concept of intersecting value. The concept of effective edges and strong planar graphs are given. Also the idea of I-considerable edges and I-considerable numbers have been discussed at the end. Several properties of IFMGs are studied. Finally an application is discussed using these concepts.