Backlogging EOQ model for promotional effort and selling price sensitive demand- an intuitionistic fuzzy approach

Sujit De () and Shib Sana ()

Annals of Operations Research, 2015, vol. 233, issue 1, 57-76

Abstract: An intuitionistic fuzzy economic order quantity (EOQ) inventory model with backlogging is investigated using the score functions for the member and non-membership functions. The demand rate is varying with selling price and promotional effort (PE). A crisp model is formulated first. Then, intuitionistic fuzzy set and score function (or net membership function) are applied in the proposed model, considering selling price and PE as fuzzy numbers. To obtain the best inventory policy, ranking index method has been adopted, showing that the score function can maintain the ranking rule also. Moreover, optimization is made under the general fuzzy optimal (GFO) and intuitionistic fuzzy optimal (IFO) policy. Finally, a graphical illustration, numerical examples with sensitivity analysis and conclusion is made to justify the model. Copyright Springer Science+Business Media New York 2015

Keywords: Fuzzy inventory; Fuzzy shortage; Fuzzy selling price; Fuzzy promotional effort; Intuitionistic fuzzy set; Score function; α-Cut; Optimization (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (11)

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DOI: 10.1007/s10479-013-1476-3

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