With problems at the hospital Dr. Cipto Mangunkusumo, namely borrowing linen when nurses make loans to the logistics division, so that the logistics division has difficulty in determining which linen is used more frequently or lent by nurses, because the type of linen that is very much causes difficulties in the division in determining which linen is obliged to return it quickly to the logistics division. In order for linen to be available again in the logistics division, in addition to a very large loan every month, the logistics division had difficulty determining the average loss of linen in one year. That way the problem that occurs to solve this problem is to use a method namely Fuzzy Tsukamoto to determine the average amount of loss of linen and to determine priority linen that will be replaced earlier when the linen change schedule is in progress or the linen return is speeded up by returning the type of linen that is very often used for. After calculating using the Fuzzy Tsukamoto method, priority linen can be produced, including a Bolster, Blanket, Mattress Pad, and Bed Cover. Based on the calculation of Fuzzy Tsukamoto by doing several stages, namely Fuzzyfication, Fuzzy Rule, Fuzzy Inference System, and Defuzzyfication resulting in an average amount of linen loss in one year is 222.