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Inventory management is one of important issues in the manufacture system. Thus, this paper proposes a new fuzzy approach to solve the inventory management problems in the manufacture system. In the past, few papers discussed the square roots of fuzzy number. The square roots of fuzzy number can be applied to solve the optimal inventory quantity problems in the fuzzy manufacture system. This paper first proposed the square roots of fuzzy number. Finally, the square roots of fuzzy number are applied to obtain the optimal order quantity for the fuzzy backorder inventory model in the manufacture system.
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Chien Chang Chou (2010) studied this question.