The inclusion of suitable inventory control and management system plays a key role in managing the financial health of a manufacturing company. In most cases, an unjustified inventory of raw materials is maintained resulting in specific losses to the company. In addition, the consideration of numerous factories manufacturing the same product results in a very complex inventory management method. The complexity of the problem improves when lead times of stocks are included. In this paper, we present our work about forecasting methods according to the fuzzy time series and genetic algorithm. The main objective of this paper is to generate a fuzzy EOQ model and to measure the optimum order quantity so as to minimize the average total cost.