This article considers the issues of assessing the sustainability of transport and logistics systems, which play a key role in ensuring the efficient functioning of supply chains. The sustainability of systems is analyzed in the context of their ability to adapt to external and internal influences, such as economic fluctuations, changes in demand, natural disasters and technological failures. In this paper, it is proposed to use fuzzy graph invariants, namely, a fuzzy dominating set, to assess and analyze the sustainability of transport and logistics systems under uncertainty. It is shown that a fuzzy dominating set allows solving the problem of placing distribution hubs in a transport and logistics system. Examples of finding fuzzy dominating sets for fuzzy and fuzzy temporal graphs as the models of transport and logistic system are presented. Fuzzy temporal graphs also allow for more adequate modeling and analysis of systems in cases where the time parameter is one of the important factors.