A Study of an EPQ Model of Deterioration Items with Effect of Carbon Emission under Pentagonal Intuitionistic Fuzzy Number

Abstract

These days, a lot of inventory experts focus especially on green inventory challenges, which include global carbon emission difficulties. This study explores a green inventory EPQ model in which the selling price, inventory level, and degree of green awareness determine the demand rate. The use of conservation technology has helped to control carbon emissions; the holding cost is assumed to be a quadratic function of time, while the deterioration cost is assumed to be a linear function of time. Initially, a crisp model for minimizing average total cost is developed. Then, if the idea of membership value and nonmembership value exists, the demand rate assumes unpredictability in nature as a result of market versatility. Therefore, a fuzzy model is developed with the assumption that the pentagonal intuitionistic dense fuzzy number represents the demand rate. To solve the suggested model, a defuzzification method and a solution algorithm have been developed. A comparative analysis is provided between crisp and various fuzzy environments in the numerical demonstration. Moreover, LINGO 21.0 software has been used for numerical computing. Lastly, sensitivity analysis and graphical depiction have been used to support the proposed model.