Chromatic Polynomial of Intuitionistic Fuzzy Graphs Using α,β-Levels

Abstract

The article describes a new thought on the chromatic polynomial of an intuitionistic fuzzy graph which is illustrated based on α,β-level graphs. Besides, the alpha-beta fundamental set of an intuitionistic fuzzy graph is also defined with a vivid description. In addition to that, some characterizations of the chromatic polynomial of an intuitionistic fuzzy graph are specified as well verified. Furthermore, some untouched properties of the α,β-level graph are also projected and proved.