The research analyses a production inventory model of deteriorating items with shortages under partial backlogging in a crisp and fuzzy environment. Uncertainties play a vital role in developing a real-life inventory model. Since the system parameters such as demand, deterioration, holding cost, etc., are uncertain, so they are considered triangular fuzzy numbers. The model is developed both in a crisp and fuzzy approach. The signed distance method is used for defuzzification. The concavity test of the total profit function is shown graphically using the Mathematica 11.1 software. The objective of this model is to maximise the profit. A comparison of results in both cases is carried out to decide which method gives a more accurate outcome. The numerical example, managerial implications and sensitivity analysis are presented for the proposed model.
Indrajitsingha et al. (Thu,) studied this question.