Journal
INTERNATIONAL JOURNAL OF FUZZY SYSTEMS
Volume 18, Issue 6, Pages 1141-1161Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s40815-015-0129-x
Keywords
Fuzzy set theory; Signed distance; Graded mean integration representation; Reverse logistics; Inventory management; Economic order/production quantity
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Funding
- University of Malaya [RP018b-13aet]
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This paper develops a reverse inventory model where the recoverable manufacturing process is affected by the learning theory. We propose the inclusion of the fuzzy demand rate of the serviceable products and the fuzzy collection rate of the recoverable products from customers in the total cost function of the model. Two popular defuzzification methods, namely the signed distance technique, a ranking method for fuzzy numbers, and the graded mean integration representation method are employed to find the estimate of the total cost function per unit time in the fuzzy sense. We provide a comprehensive numerical example to illustrate and compare the results obtained by the two mentioned defuzzification methods. This is one of the only few attempts in the related literature comparing the performance of these methods with the effect of the fuzziness of both of the demand and the collection rate in the presence of the learning simultaneously. The results indicate that deciding on which method could be used depends on the target strategy that could focus on the total cost, ordering lot size, or recovery lot size.
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