A fuzzy production model with probabilistic resalable returns

In this paper, a fuzzy production inventory model with resalable returns has been analysed in an imprecise and uncertain environment by considering the cost and revenue parameters as trapezoidal fuzzy numbers. The main objective is to determine the optimal fuzzy production lotsize which maximizes the expected profit where the products leftout at the end of the period are salvaged and demands which are not met directly are lost. The modified graded mean integration representation method is used for defuzzification of fuzzy parameters of production lotsize and expected profit. An example is presented to illustrate the method applied in the model.