The aircraft turnaround stage is one of the most critical processes that airlines and airports must face in their daily operations. The turnaround of an aircraft comprises all tasks that need to be completed when it arrives at the assigned gate until it is ready for departure. These activities include such as boarding and disembarking of passengers, cabin-cleaning, catering, aircraft maintenance and re-fuelling, loading and unloading of baggage, cargo check, security inspection, etc., thereby, the flight delays are strongly correlated with the turnaround process. The paper's main purpose is to solve this problem by using the assignment problem by matching resources and tasks. In this, we have applied Haar Hungarian algorithm approach by means of pentagon and generalized models to solve a fuzzy aircraft maintenance during turnaround process. This new process decreases the turnaround process time during aircraft maintenance.