Applied Soft Computing, vol.185, 2025 (SCI-Expanded, Scopus)
To solve the complicated transportation and mobility problems that arise in Industry 4.0, this study creates a new five-way decision (FWD) architecture. It has four levels of evaluation based on rough sets (RSs) and fermatean fuzzy sets (FFSs). The new method adds two more choice areas to the usual three-way decision (TWD) framework. It establishes a more complex and varied sorting system. We begin by developing FWD specific relative gain and loss functions, establishing the foundation for the five-zone decision-making process. This study shows how reliable the threshold values are and how they can be used to set upper and lower decision limits, along with their properties. Gray relational analysis determines conditional probabilities to ensure that evaluations are correct at all levels, especially when the characteristics of the options are missing or unclear. We explore the proposed FWD model and how it can be used to find the best transportation strategy for urban mobility networks. We also address how the model can help people make decisions in a complicated, multilayered environment. We conduct tests for accuracy and reliability to verify the authenticity of the results. We can still expand the application of this approach in mobility management and overall transport planning.