Economic Order Quantity for Items with Imperfect Quality where Shortages are Backordered in Fuzzy Environment

This paper deals with inventory situation where all the items received are not of perfect quality. They are picked up during the screening process and are shipped in one lot due to economies of sales. Shortages are backordered. The defective rate, demand, holding cost, ordering cost and shortage cost are taken as triangular fuzzy numbers. Graded mean integration method is used for defuzzification of the total profit. The optimal order quantity is derived and numerical examples are provided to illustrate the results.