<p>We formulate a fuzzy two-stage continuous–discrete optimal set partitioning problem, which generalizes, on the one hand, the classical finite-dimensional transportation problem to the case where production volumes at given locations are unknown in advance and are determined as the solution to the corresponding fuzzy continuous problem of optimal partitioning of a set of consumers (suppliers of a continuously distributed resource) into fuzzy subsets (the service areas of these points), and, on the other hand, discrete two-stage production–transportation problems for the case of a continuously distributed resource. Theorems regarding the conditions for the existence and form of the optimal solution to the formulated problem are proved. A method for solving it is developed based on the synthesis of the theory of optimal set partitioning and fuzzy set theory.</p>