Fuzzy Coloring and Total Fuzzy Coloring to Strong Intuitionistic Fuzzy Graphs – Euler, Hamiltonian and Petersen Graphs

A pioneering contemplate of fuzzy coloring and total fuzzy coloring is incited to a strong intuitionistic fuzzy Euler graph, strong intuitionistic fuzzy Hamiltonian graph and to a strong intuitionistic fuzzy Petersen graph. The fuzzy chromatic number along with its fuzzy chromatic index of both vertices and edges and the total fuzzy chromatic number along with its total fuzzy chromatic index are examined by coloring to the vertices and edges. The concept of fuzzy coloring makes it easier to identify a color's name and its solidity at the vertices and edges. This coloring gives a path of a graph.