EOQ model for deteriorating items with exponential demand rate, price dependence and shortages under trapezoidal and neutrosophic fuzzy techniques

In this study, we examined an Economic Order Quantity model for deteriorating items in the context of a completely backlogged exponential demand rate and price dependence. For global warming, we include the carbon tax in the total inventory cost of the proposed Economic Order Quantity model. This study aims to minimize the average total cost for the proposed Economic Order Quantity model. Using the shortage costs, we identify the different factors that impact the inventory cost. This research will examine inventory modeling in different fuzzy environments of uncertainty. In trapezoidal fuzzy environments, fuzzy values are considered inventory factors, including ordering costs, holding costs, and shortage costs. In a fuzzy neutrosophic method, fuzzy values are also considered inventory factors, including ordering costs, holding costs, and shortage costs. In this study, we developed the trapezoidal fuzzy Economic Order Quantity model and the neutrosophic fuzzy Economic Order Quantity model to optimize the average total cost. The trapezoidal and neutrosophic fuzzy Economic Order Quantity models are defuzzified by a trapezoidal intuitionistic defuzzification method and a neutrosophic trapezoidal defuzzification method, respectively. To identify the suitable neutrosophic fuzzy method, this study examines a comparison analysis between the neutrosophic fuzzy techniques using the proposed numerical example. The numerical example presents a comparative study between several fuzzy and crisp methods. Numerical calculations have also been done using the LINGO 21.0 software. The suggested model has been supported by graphical representation and sensitivity analysis. In the end, we come to a conclusion.