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.


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