A study on \(m\)-polar fuzzy planar graphs (Q2224104)

Summary: In many practical applications with a graph structure, there may exist crossing between edges which is not allowed in a crisp planar graph. Considering that graphic structures can be used to describe the crossing of edges in an \(m\)-polar fuzzy multi-graph with certain amount of \(m\)-polar fuzzy planarity value, first of all the notion of \(m\)-polar fuzzy multi-set is introduced. Then \(m\)-polar fuzzy multi-graphs, \(m\)-polar fuzzy planar graphs and \(m\)-polar fuzzy strong edges are defined. Several properties of \(m\)-polar fuzzy planar graphs are also studied.