Pythagorean Fuzzy Graph with Vertex Coloring

Abstract

The Pythagorean fuzzy models are strong method for providing an accurate representation of vagueness and uncertainty, particularly in decision making as opposed to the Intuitionistic fuzzy model. The purpose of this document is to enforce the definition of Pythagorean fuzzy graph vertex coloring implemented with illustrative examples and also introduced a new concept called color excellence Pythagorean fuzzy graph.