Application of Critical Path Method in ePropertyWatch Plan Using Gaussian Pythagorean Fuzzy Numbers

In this article, Gaussian Pythagorean fuzzy numbers along with their credibility distribution are defined. The current approach offers a novel method for precise and analytic determination of the inverse credibility distribution based on the credibility measure. To assess uncertainty in project activity time, the Pythagorean fuzzy reasoning might be appropriate in circumstances where past performance is either unavailable or irrelevant. The development of Pythagorean fuzzy critical path method, however, was motivated by the vagueness of the time parameters. By utilizing Gaussian Pythagorean fuzzy numbers as time spans of activities, we propose an approach that relies on credibility-based ranking to add ambiguities into classical critical path method. In addition, we define the Pythagorean fuzzy precedence diagramming technique, which is used to analyze project networks comprising mutually dependent activities with lead or lag time spans. The suggested approach is successfully examined for a case study in project management by the Council of Multiple Listing Services Florida, concerning a project plan created to provide ePropertyWatch, enabling it to assist project managers in better grasping and managing project schedule uncertainty.