Application of Soft Sets Theory in Electric Mobility: Vehicle-to-Grid, Grid-to-Vehicle, and Charging Infrastructure

The increasing adoption of electric vehicles (EVs) necessitates advanced integration techniques with the power grid to maximize efficiency and sustainability. This research explores the application of soft sets theory to enhance decision-making processes in Vehicle-to-Grid (V2G), Grid-to-Vehicle (G2V), and charging infrastructure systems. Soft sets theory, known for handling uncertainties and imprecision, offers a robust framework for managing the complex variables involved in electric mobility. This study develops a decision-making model incorporating soft sets to evaluate and optimize various scenarios and strategies in electric mobility. The effectiveness of model is validated through case studies and simulation, demonstrating significant improvements in grid stability, economic feasibility, and user satisfaction. The findings underscore the potential of soft sets theory to address the challenges and leverage the opportunities in the evolving landscape of electric mobility.