A Single Item Production Inventory Model with the Fuzzy Demand

In this paper, we aim to investigate a model for a single item production system (economic production quantity) under the assumption that the demand rate is triangular fuzzy number. The other parameters, the rate production, fixed cost production and inventory cost are to be constant. Hence, the length cycle production is fuzzy number. Furthermore, the holding cost per cycle is fuzzy. Here, we need fuzzy integral to compute fuzzy holding cost. Accordingly, the annual total cost is also fuzzy. Actually, we can not formulate membership function for fuzzy holding cost and fuzzy annual total cost. The fuzzy ranking cannot be used in this model. However, we will do it numerically by alpha-cut approach to plot the fuzzy costs.