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Issue:Intuitionistic fuzzy optimization technique for the solution of an EOQ model

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Title of paper: Intuitionistic fuzzy optimization technique for the solution of an EOQ model
Author(s):
Susovan Chakrabortty
Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore-721 102, India
susovan_chakrabortty@ymail.com
Madhumangal Pal
Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore-721 102, India
mmpalvu@gmail.com
Prasun Kumar Nayak
Bankura Christian College, Bankura, 722 101, India
nayak prasun@rediffmail.com
Presented at: 15th ICIFS, Burgas, 11-12 May 2011
Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 17 (2011) Number 2, pages 52—64
Download:  PDF (205  Kb, File info)
Abstract: A purchasing inventory model with shortages where carrying cost, shortage cost, setup cost and demand quantity are considered as fuzzy numbers. The fuzzy parameters are transformed into corresponding interval numbers and then the interval objective function has been transformed into a classical multi-objective economic ordering quantity (EOQ) problem. To minimize the interval objective function, the order relation that represent the decision maker’s preference between interval objective functions have been defined by the right limit, left limit, center and half width of an interval. Finally, the equivalent transformed problem has been solved by intuitionistic fuzzy programming technique. The proposed method is illustrated with a numerical example and sensitivity analysis has been done.
Keywords: Economic order quantity, Fuzzy demand, Fuzzy inventory cost parameters, Interval arithmetic, multi-objective programming, Intuitionistic fuzzy sets, Intuitionistic fuzzy optimization technique.
AMS Classification: 03E72
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