In this paper,the basic operation of neutroosphic number in the construction interval is defined,the neutrosophic logic is proposed and the mathematical definition is given,and the mathematical expectation is defined by the concept of probability expectation.Based on graph theory,this paper proposes that the fuzzy information on every arc in the network flow is represented by the neutrosophic number,and the network flow is adjusted by the improved neutrosophic number operation and the augmenting chain algorithm,the neutrosophic linear programming model for neutrosophic maximum flow problem is presented.Finally,an example is given to show the steps of the algorithm.The maximum flow and the fluctuation rate of the flow are obtained.The results show that the algorithm is reasonable and effective.
neutrosophic numberaugmenting chain algorithmmathematical expectationneutrosophic maximum flow
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