An inventory cost model with weibull distributed deterioration, shortages and partially backlogging using trapezodial fuzzy numbers

Inventory control plays important role in manufacturing and supply chain management system. In this paper, we propose a fuzzy inventory model having time varying demand which starts and end at zero with shortage period along with Weibull deterioration rate and partial back logging. The demand rate is to be considered as quadratic function of time. As Inventory modeling fuzzy set theory is the closest path towards reality. The Optimal Inventory Cost has been explored for the developed model after defuzzification of cost function. Centroid method and Graded Mean Representation Method are used for defuzzification of cost function. A numerical illustration has been proposed to validate the model. The sensitivity analysis has been carried out through numerical examples.