Multi-Bipolar Fuzzy Planar Graphs

Abstract

Generalization of a bipolar fuzzy set helps to arrive at an m-BPF set that can be extended to understand important properties of planar and multigraph. The definition of m-BPFMGs, m-BPFPGs and m-BPFDGs are introduced, and some of their intriguing aspects are studied. An m-BPFPGs level of planarity is measured in this case using the term "degree of planarity." On the subject of planarity, some theorems have been proved. Additionally, we investigate isomorphism across m-BPFPGs.