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Travelling Salesman Problem (TSP) is a famous Problem in operational research. many problems in real life can be reduced to this kind of Problem. In practical problems, sometimes exact data cannot be obtained due to many conditions, yielding only a general range. In this case, this paper presents an uncertain TSP problem with grey numbers, and constructs a dynamic programming model for the uncertain TSP problem with grey numbers. Then, combined with the dynamic programming method, an algorithm for solving the uncertain TSP problem with grey number is given by using the grey number possibility degree and the ranking method. Finally, use case calculations to verify the correctness of the algorithm.
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