Zero Point Method for Transportation Problems with Elliptic Intuitionistic Fuzzy Matrices
摘要
Transportation problems (TPs) are essential for optimizing logistics and supply chains. Traditional models with deterministic values for transportation costs, supply, and demand often fail to capture real-world uncertainties from fuel price fluctuations, economic instability, and perishability constraints. To address these challenges, this study introduces the Elliptic Intuitionistic Fuzzy Sets (E-IFSs) framework, which extends classical fuzzy models by capturing elliptic uncertainty in both costs and freshness requirements. We propose a Zero Point Method for TPs with E-IFSs (EIF-ZPM), combining the zero-point approach with an indexed matrix structure to improve decision-making under uncertainty. This method supports optimization in cost-sensitive, freshness-aware logistics through the flexibility of elliptic intuitionistic fuzzy numbers. A case study in perishable goods distribution illustrates the method’s practical value. A retail chain optimizes delivery of dairy, fruits, and vegetables from regional warehouses to supermarkets, minimizing waste and costs associated with short shelf lives. This work presents the first application of E-IFSs in transportation modeling, offering a flexible fuzzy optimization framework for cold chain logistics and dynamic supply environments.