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

Abstract

 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

DOI 10.5281/zenodo.17216356