Graph theory is the concepts used to study and model various application in different areas. We proposed the wheel graph with n vertices can be defined as 1 skeleton of on n 1 gonal pyramid it is denoted by w nwith n 1 vertex n=3 . A wheel graph is hamiltonion, self dual and planar. In the mathematical field of graph theory, and a Hamilton path or traceable graph is a path in an undirected or directed graph that visits each vertex exactly once. A Hamiltonian cycle is a hamiltonian path that is a cycle. In this paper, we consider the wheel graph and also the hamilton graph using if then rules fuzzy numbers. The results are related to the find the degree of odd vertices and even vertices are same by applying if then rules through the paths described by fuzzy numbers.