Affiliations: Department of Mathematics, Aliah University, Salt Lake, Kolkata, West Bengal, India.
Correspondence:
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Correspondence to: Sk. Md. Abu Nayeem, Department of Mathematics, Aliah University, DN - 20, Sector-V, Salt Lake, Kolkata-700 091, West Bengal, India. nayeem.math@aliah.ac.in
Abstract: This paper studies a purchasing EOQ inventory model with backordering, where setup cost, purchase cost, holding cost, shortage cost and demand quantity all are considered as independent fuzzy variables. Using a linear combination of possibility and necessity measures, the problem is formulated as a fuzzy expected value model. Then the crisp equivalent is derived when the fuzzy costs and demand are characterized by triangular fuzzy numbers. Finally, a numerical example is given to illustrate the effectiveness of the proposed algorithm.
