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Transportation problems offer a structured approach to optimize the allocation of resources, minimize transportation costs, and improve overall efficiency in supply chain and logistics management, leading to several advantages for businesses and organizations. Fuzzy transportation problems are particularly relevant in supply chain and logistics management when dealing with uncertain demand, fluctuating costs, or imprecise data and the intuitionistic fuzzy transportation problem is a more advanced modeling technique that takes into account the nuanced handling of uncertainty and imprecision using intuitionistic fuzzy sets(IFS). It provides a more realistic approach to decision-making in situations where classical or fuzzy models may not capture the subtleties of uncertainty in data. In this article, we demonstrate a novel approach to resolving transportation problems in a neutrosophic atmosphere. Neutrosophic set is an extension of fuzzy and IFS and it is classified by three independent membership grades: truth, indeterminacy, and falsity membership grade. These sets are better suited to handle imprecise parameters. Transportation cost and demand are taken as neutrosophic numbers. Vogel's approximation method is used to get the optimum solution of this neutrosophic transportation problem. Also, we performed a numerical instance to figure out the successful outcome of our suggested technique. [ABSTRACT FROM AUTHOR]

One of the most important and challenging jobs that any manager can take in the management of a large scale project that requires coordinating numerous activities throughout the organization. Initially, the activity times are static within the CPM technique and probabilistic within the PERT technique. Since neutrosophic set is the generalization of fuzzy set and intuitionistic fuzzy set, a new method of project evaluation and review technique for a project network in neutrosophic environment is proposed in this paper. Considering single valued neutrosophic number as the time of each activity in the project network, neutrosophic expected task time, neutrosophic variance, neutrosophic critical path and the neutrosophic total expected time for completing the project network are calculated here. The main concept of Neutrosophic Project Evaluation and Review Technique(NPERT) method is to solve the ambiguities in the activity times of a project network easily than other existing methods like classical PERT, Fuzzy PERT etc. The proposed method is explained by an illustrative example and the results are discussed here. [ABSTRACT FROM AUTHOR]