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An Economic Order Quantity is used in this research to apply the inventory model to an uncertain environment. To handle an inventory problem with octagonal fuzzy numbers in EOQ, various writers have proposed various solutions. Here, we made the assumption that the ratio of demand to returned goods is consistent over cycles. and shortages are permitted. Demand, Order Quantity, Ordering Cost, Holding Cost, and Carrying Cost are all taken into consideration as octagonal fuzzy numbers. The Lagrangian approach with beta distribution is used for defuzzification to identify the optimal order quantity in order to reduce the average total cost.