Neutrosophic Statistics for Project Management. Application to a Computer System Project

This research aims to apply a mathematical procedure of the project evaluation and review technique (PERT) in a neutrosophic environment. For such purpose, the elements of the three PERT estimates are considered neutrosophic elements, more specifically, trapezoidal neutrosophic numbers. The technique used is novel and attractive since it allows to overcome the limitations of the different Fuzzy PERT methods and handle indeterminacy mathematically. On this occasion, the neutrosophic PERT method is applied to managing a computer system development project. The PERT method made it possible to estimate the minimum duration of the project, the beta parameters of the duration of each activity, and the identification and calculation of the critical path, with the help of specialized software. Keywords: Neutrosophic trapezoidal number, Neutrosophic PERT, IT project, Critical path.