Ranking Method and Graphical Method to Find the Critical Path of a Fuzzy Project Network with Trapezoidal Intuitionistic Fuzzy Numbers as Activities

Abstract

The management of complex projects demands effective scheduling methodologies to ensure timely completion.  In this context, the Critical Path Method(CPM) has proven to be a valuable tool.  This research explores the application of CPM in conjunction with the Ranking Method and Graphical Method for scheduling projects characterized by uncertainties represented using Trapezoidal Intuitionistic Fuzzy Numbers (TIFNs). TIFN extends the traditional fuzzy number model to accommodate uncertain and imprecise information, providing a more realistic representation of project parameters. The study begins by defining and illustrating the characteristics of TIFN, establishing a foundation for its integration into the project scheduling framework.  The Ranking Method is employed to assess the priority of activities based on their influence on project completion time, considering the imprecision inherent in TIFN.  Additionally, the Graphical Method is utilized to visually represent the project network, facilitating a comprehensive understanding of interdependencies and critical paths.  A case study is presented to demonstrate the proposed approach’s practical applicability.  The results indicate that the incorporation of TIFN, Ranking Method, and Graphical Method enhances the accuracy and flexibility of project scheduling in the face of uncertainty.  The findings contribute to the growing body of knowledge in project management, offering a robust methodology for handling imprecise information and ensuring the successful execution of projects in dynamic and uncertain environments.