Iranian Institute of Industrial Engineering Journal of Industrial and Systems Engineering 1735-8272 18 1 2026 01 01 Fuzzy Multi-Objective Optimization Model for Online Businesses in International Markets: Reducing Response Time and Managing Inventory Uncertainty 83 104 246716 EN Anoosheh Chegini Department of Management, Cha.C., Islamis Azad University, Chalous, Iran. Maryam Rahmaty Department of Management, Chalous Branch, Islamic Azad University, Chalous, Iran. Mohammad Javad Taghipourian Department of Management, Cha.C., Islamic Azad University, Chalus,Iran. Javad Gilanipour Department of Management, Cha.C., Islamis Azad University, Chalous, Iran. Journal Article 2025 10 29 International online businesses face several challenges in supply chain management, including reducing customer response time and managing uncertainty in inventory levels. This study proposes a fuzzy multi-objective optimization model to improve supply chain performance in international environments. This model uses fuzzy numbers to handle demand fluctuations, transportation costs, and delivery time, and provides a flexible decision-making framework. To solve this model, four meta-heuristic algorithms, including NSGA-II, PSO, GOA, and GA, are used, and their performance in terms of reducing supply chain costs, optimizing delivery time, and increasing inventory stability is investigated. The results show that PSO and GOA provide the shortest response time, while NSGA-II significantly reduces overall costs. Also, sensitivity analysis showed that NSGA-II and GOA are more stable regarding demand fluctuations, while GA has the least flexibility. This research presents a novel framework for supply chain optimization in international digital businesses that can help increase competitiveness and improve service levels in global markets. https://www.jise.ir/article_246716_ab0873a38381dd139895baa3e672e0c0.pdf