Yao, Jing-Shing; Su, Jin-Shieh Fuzzy inventory with backorder for fuzzy total demand based on interval-valued fuzzy set. (English) Zbl 0978.90009 Eur. J. Oper. Res. 124, No. 2, 390-408 (2000). Summary: It is difficult to determine the fixed total demand \(r_0\) in an inventory problem with backorder in a whole plan period. We will fuzzify it as \(R=\lceil\text{near} r_0\rceil\). In this article, we will classify \(R\) into three kinds: (1) fuzzy total demand with triangular fuzzy number (Section 2), (2) fuzzy total demand with interval-valued fuzzy set based on two triangular fuzzy numbers (Section 3), (3) fuzzy total demand with interval-valued fuzzy set based on two trapezoidal fuzzy numbers (Section 4). We will find the corresponding order quantities and the shortage inventories, respectively. Cited in 6 Documents MSC: 90B05 Inventory, storage, reservoirs 03E72 Theory of fuzzy sets, etc. Keywords:fuzzy inventory; interval-valued fuzzy set; triangular fuzzy number; fuzzy total demand PDF BibTeX XML Cite \textit{J.-S. Yao} and \textit{J.-S. Su}, Eur. J. Oper. Res. 124, No. 2, 390--408 (2000; Zbl 0978.90009) Full Text: DOI OpenURL References: [1] Chang, S.-C.; Yao, J.-S.; Lee, H.-M., Economic reorder point for fuzzy backorder quantity, Europan journal operational research, 109, 183-202, (1998) · Zbl 0951.90003 [2] Gorzalczany, M.B., A method of inference in approximate resoning,based on interval-valued fuzzy sets, Fuzzy sets and systems, 21, 1-17, (1987) · Zbl 0635.68103 [3] H. Lee, J.-S. Yao, Economic order quantity in fuzzy sense for inventory without backorder model. Fuzzy Sets and Systems (to appear) · Zbl 0947.90005 [4] Lee, H.-M.; Yao, J.-S., Economic production quantity for fuzzy demand quantity and fuzzy production quantity, European journal operational research, 109, 203-211, (1998) · Zbl 0951.90019 [5] Yao, J.-S.; Lee, H.-M., Fuzzy inventory with backorder for fuzzy order quantity, Information science, 93, 283-319, (1996) · Zbl 0884.90077 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.