Abstract
In the form of a Hamiltonian graph, there is a Hamiltonian cycle. A fuzzy Hamiltonian cycle is one that departs from each of the vertices or nodes precisely once. A lot of research is being done to figure out how many fuzzy Hamiltonian cycles a fuzzy Hamiltonian graph has it becomes more difficult to recall all the many ways that the edges and vertices have been linked as the total number of vertex and edges grows for several capacities, artificial intelligent are going to complement or increase social facilities. The method is indeed simple to quickly determine whether an edge links the two vertexes when graphs are represented by adjacency matrices. This work proposes a new approach for detecting fuzzy Hamilton cycles with Artificial Intelligence (AI) as well as the level that defines the vertices outside a graph g. In order to show the algorithms utilizing the selected travel system of fuzzy graphs with Artificial Intelligence structure have been generated as well.
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