In the present scenario, the transportation problem [TP] is the most significant optimization domain. This study proposes a trapezoidal neutrosophic number with interval values to solve the TP in neutrosophic environment [NE], also recognized as the neutrosophic transportation problem [NTP]. The transportation cost, demand and supply are assumed to be inaccurate due to market fluctuations. Hence, the parameters are those of neutrosophic environment. We suggest use a fixed charge multi-objective interval valued to solve the neutrosophic transportation problem. This approach seeks to minimize multiple objectives such as total transportation cost, transportation loss, and transportation time. Interval-valued neutrosophic problems are used to express problem parameters such transportation time, variable cost, and fixed cost. The neutrosophic set is an abstract principle of fuzzy crisp neutrosophic numbers that includes information of incompleteness, uncertainty, and inconsistency. Here, we propose numerical problems to better perform the neutrosophic transportation problem. Finally, the results are compared, and a conclusion is drawn that supports the proposed result methodology using trapezoidal neutrosophic number with interval values.