Fuzzy inventory with backorder for fuzzy total demand based on interval-valued fuzzy set. (English) Zbl 0978.90009

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.


90B05 Inventory, storage, reservoirs
03E72 Theory of fuzzy sets, etc.
Full Text: DOI


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