Javad Tayyebi - Department of Industrial engineering, Birjand University of Technology, Iran
m aman - Department of Mathematics, University of Birjand, Iran,
Hosein Heydari-Haftador - PhD student, Department of mathematics, University of Birjand, Iran

The main aim of this paper is to study the maximum flow problem when the underlying associated structure is not well-defined and must be modeled as a fuzzy hesitant graph. However, to deal with the problem, we develop several well-known concepts from classical theory, in the fuzzy hesitant graph context, such as flow, network, and admissible flow.

Networks; Maximum flow; Fuzzy hesitant graphs.