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