The Implementation of the Trapezoidal Fuzzy Number toward the Solution of the A Fuzzy Inventory Model with Shortages

The Implementation of the Trapezoidal Fuzzy Number toward the Solution of the A Fuzzy Inventory Model with Shortages T. Iswarya SG. Karpagavalli Abstract
In this paper, fuzzy inventory model with shortages has been considered. Trapezoidal fuzzy number with Weibull distribution is used to fuzzify the data of an inventory model. All the parameters used in the inventory model is converted to trapezoidal fuzzy numbers using function principle. We find the estimate of the total inventory cost by defuzzifing the trapezoidal fuzzy numbers using the the graded mean integration. The optimum total cost for the inventory model is found. 03 01 2021 012230 http://dx.doi.org/10.1088/crossmark-policy iopscience.iop.org The Implementation of the Trapezoidal Fuzzy Number toward the Solution of the A Fuzzy Inventory Model with Shortages Journal of Physics: Conference Series paper Published under licence by IOP Publishing Ltd http://creativecommons.org/licenses/by/3.0/ https://iopscience.iop.org/info/page/text-and-data-mining 10.1088/1742-6596/1818/1/012230 https://iopscience.iop.org/article/10.1088/1742-6596/1818/1/012230 https://iopscience.iop.org/article/10.1088/1742-6596/1818/1/012230/pdf https://iopscience.iop.org/article/10.1088/1742-6596/1818/1/012230/pdf https://iopscience.iop.org/article/10.1088/1742-6596/1818/1/012230 https://iopscience.iop.org/article/10.1088/1742-6596/1818/1/012230/pdf Management Science Abad 42 1093 1996 10.1287/mnsc.42.8.1093 Optimal pricing and lot-sizing under conditions of perishability and partial backordering Computers and Operation Research Abad 28 53 2001 10.1016/S0305-0548(99)00086-6 Optimal price and order-size for a reseller under partial backlogging Fuzzy Sets and Systems Chang 107 37 1999 10.1016/S0165-0114(97)00350-3 Fuzzy production inventory for fuzzy product quantity with triangular fuzzy number Chen 11 1985 Fuzzy linear combination of fuzzy linear functions under extension principle and second function principle Tamkang Journal of Management Sciences Chen 6 13 1985 Operations on fuzzy numbers with function principle Chen 1 1999 Graded mean integration representation of generalized fuzzy number Dubois 1980 Journal of Industrial Engineering Ghare 14 238 1983 A model for an exponentially decaying inventory European Journal of Operational Research Goyal 134 1 2001 10.1016/S0377-2217(00)00248-4 Recent trends in modeling of deteriorating inventory Journal of Information & Optimization Sciences Huang 29 305 2008 10.1080/02522667.2008.10699806 A note on a buyer-vendor EOQ model with changeable lead-time in supply chain European Journal of Operational Research Kuo-Chen 208 239 2009 An inventory model with generalized type demand, deterioration and backorder rates Shortages and time-varying demand, Quality and Quantity Lee 38 457 2004 A Note on EOQ model for items with mixtures of exponential distribution deterioration International Journal of Production Economics Liao 113 852 2008 10.1016/j.ijpe.2007.09.006 An EOQ model with non-instantaneous receipt and exponential deteriorating item under two–level trade credit International Journal of Management Science and Engineering Management Mishra X 1 2011 deteriorating inventory model for time dependent demand and holding cost with partial backlogging Applied Mathematical Sciences Mishra 4 3611 2010 Deteriorating inventory model with time dependent demand and partial backlogging Mathematics Today Pareek 25 31 2009 An Inventory Model for time dependent deteriorating item with salvage value and shortages IEEE Transactions on Systems, Man & Cybernetics Park 17 1082 1987 10.1109/TSMC.1987.6499320 Fuzzy set theoretic interpretation of economic order quantity IEEE Transactions on Systems, Man and Cybernetics 17 1082 1987 10.1109/TSMC.1987.6499320 Fuzzy set theoretic interpretation of economic order quantity Advanced Modeling and Optimization Roy 10 25 An inventory model for deteriorating items with price dependent demand and time varying holding cost European Journal of Operational Research. European Journal of Operational Research Skouri 192 79 2009 10.1016/j.ejor.2007.09.003 Inventory models with ramp type demand rate, partial backlogging and Weibull deterioration rate Journal of Information & Optimization Sciences Skouri 29 947 2008 10.1080/02522667.2008.10699847 An EOQ model with trade credit period depending on the ordering quantity Applied Mathematics and Information Sciences Syed 1 203 2007 Fuzzy inventory models without using signed-distance method Taha 753 1997 European journal of operations research Yao 148 401 2003 10.1016/S0377-2217(02)00427-7 Inventory without backorder with fuzzy total cost & fuzzy storing cost defuzzified by centroid and signed-distance Zimmermann 1991 2