A Fuzzy Multi-Objective Sustainable and Agile Supply Chain Model Based on Digital Twin and Internet of Things with Adaptive Learning Under Environmental Uncertainty

This paper presents an advanced, adaptive model for designing and optimizing agile and sustainable supply chains by integrating fuzzy multi-objective programming, Internet of Things (IoT), digital twin (DT) technologies, and reinforcement learning. Unlike conventional static models, the proposed framework utilizes real-time data and dynamically updates fuzzy parameters through a deep deterministic policy gradient (DDPG) algorithm. The model simultaneously addresses three conflicting objectives: minimizing cost, delivery time, and carbon emissions, while maximizing agility. To validate the model’s effectiveness, various optimization strategies including NSGA-II, MOPSO, and the Whale Optimization Algorithm are applied across small- to large-scale scenarios. Results demonstrate that the integration of IoT and DT, alongside adaptive learning, significantly improves decision accuracy, responsiveness, and sustainability. The model is particularly suited for high-volatility environments, offering decision-makers an intelligent, real-time support tool. Case study simulations further illustrate the model’s value in sectors such as urban logistics and humanitarian aid supply chains.