## Fuzzy production inventory for fuzzy product quantity with triangular fuzzy number.(English)Zbl 0947.90003

Summary: In this paper we consider the fundamental production inventory problem such that the product quantity is a triangular fuzzy number $$\widetilde Q=(q_1,q_0,q_2)$$, where $$q_1=q_0-\Delta_1$$, $$q_2=q_0+\Delta_2$$. Suppose $$q_*$$ denotes the crisp economic product quantity in the classical production inventory model and we assume $$0<q_1<q_*<q_0<q_2$$ or $$0<q_1<q_0 <q_* <q_2$$. According to two relations of $$q_*$$ and $$q_1,q_0,q_2$$ $$(q_1<q_0<q_2)$$ we find the membership function $$\mu_{F(\widetilde Q)}(y)$$ of the fuzzy cost function $$F(\widetilde Q)$$ and their centroid, then obtain the economic product quantity $$q^{**}$$ in the fuzzy sense.

### MSC:

 90B05 Inventory, storage, reservoirs 90C70 Fuzzy and other nonstochastic uncertainty mathematical programming
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### References:

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