iarjbmIARJBMIARJBM2708-514710.47310/iarjbm.2025.v06i01.004Optimizing Resource Allocation Using Trapezoidal Fuzzy Assignment ModelsAnsseifA.latifAnsseifAssistant Prof. at Al-Iraqia University/ College of Administration and Economics, Iraq.In the rapidly evolving landscape of resource management, optimizing resource allocation is crucial to ensure efficient and cost-effective operations. This paper explores the concept of Trapezoidal Fuzzy Assignment Problem (TFAP) as a novel approach to address resource allocation challenges in dynamic environments. TFAP leverages fuzzy logic principles to provide a flexible and adaptive framework for resource assignment, accommodating uncertainties and variations in resource demands. In this study, a real problem was used: assignment five workers to five machines with different tasks, with trapezoidal fuzzy working times. This problem is analyzed by a trapezoidal fuzzy cost by using a method called Ranking Trapezoidal Fuzzy function to find a Optimizing Resource Allocation to the problem, This algorithm is very effective in determining the optimal assignment and trapezoidal cost function, in the future other non-traditional methods will be used and compared to find solutions to problems involving trapezoidal fuzzy costs, In future expansion, other unconventional methods will be used and compared to find solutions to problems involving fuzzy trapezoidal costs..