Fuzzy Model With Non-Linear Demand Pattern Using Preservation Technology With Non-Linear Holding Cost To Control Deterioration Rate

The demand for a product is one of the important components of Inventory management. Most of the time, it is not constant and can occasionally change based on several important variables. Demand is seen to be influenced by both stock levels and selling prices for any given product. The terms "selling" and "stock-based" refer to this kind of demand. Inventory constraints are not usually set, sometimes because of consumer uncertainty. Regarding inventory control, a few factors are crucial, including demand, holding costs, deterioration costs, lost sale costs, shortage costs, purchase costs, etc. This article develops a fuzzy inventory model that allows for shortage with partial backlog, given that these parameters are unknown in real-world scenarios. Technological preservation is used to reduce the pace of deterioration. Fuzzy triangular numbers are used as parameters to find the fuzzy total average cost function, and the Graded Mean Integration Representation (GMIR), Signed Distance, and Centroid methods are used to defuzzify the model. To prove the authenticity of the new model through a numerical example also discussed the sensitivity analysis which shows the impact of different parameters.