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 $\left(\alpha ,\beta \right)$ -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 $\left(\alpha ,\beta \right)$ -level graph are also projected and proved.