Optimizing Intuitionistic Trapezoidal Fuzzy Transportation Systems: An Earth Mover's Distance-Based Methodology

This paper proposes a novel technique for ranking Intuitionistic Trapezoidal Fuzzy Numbers (ITFNs) using the Earth Mover's Distance (EMD) for transportation optimization. Traditional methods for solving transportation problems often struggle to address the inherent uncertainty and vagueness present in real-world scenarios. By incorporating ITFNs, which capture both non-membership and membership degrees, we can better model such uncertainties. Our methodology employs the EMD to quantify the dissimilarity between ITFNs, providing a robust mechanism for ranking and comparison. This ranking is then used to prioritize and optimize transportation routes and allocations. The proposed approach enables more accurate and reliable decision-making, ultimately enhancing the overall efficiency of transportation systems.