Fuzzy criterion models for inventory systems with partial backorders

This paper applies fuzzy criterion decision processes to inventory systems with several types of partial backorders, such as (i) the unfulfilled demand is completely backordered, (ii) the unfulfilled demand is completely lost, (iii) a fixed fraction of unfulfilled demand is backordered, and (iv) a stochastic portion of unfulfilled demand is backordered. We will formulate different dynamic fuzzy criterion models and show that the optimal inventory control for all these cases is characterized by a bounded critical number policy.