A case study of the impact of carbon emissions and inflation on nonlinear dense neutrosophic fuzzy inventory system of varying demand with delayed deterioration

Abstract

In a comprehensive consensus, human should reduce the carbon emission on the way to reduce the adverse effect of global warming. Manufacturing firms contributes significant amount of carbon emissions in the environment. In many countries, regulatory authorities are taking actions to reduce emissions. Thus, in this paper we have analysed the effect of carbon emissionfor non-instantaneous deteriorating items having advertisement and price dependent demand. The paper also focused on the effect of inflation where shortages are partially backlogged and partially lost in sales. In this paper a new concept of non-linear triangular dense neutrosophic number with its basic properties are developed. Further the classifications of symmetry, asymmetry is introduced and thereafter De-neutrosophication technique has been applied for crispification. Since the effect of some parameters like carbon emissions, advertising, and inflation are uncertain so we have considered it in this new aforesaid form to grab the uncertain characters of the underlying parameters. The classification of the uncertain parameter based on the symmetric and asymmetric nature and linear-nonlinear nature of triangular dense neutrosophic number have been also investigated here. Additionally, the effect of the model is examined under different situations for both linear and non-linear triangular dense fuzzy, dense intuitionistic, dense neutrosophic. Finally, a numerical example is considered to illustrate the model and it is observed that the model is optimum when the parameters are considered in Asymmetric Convex Non-Linear number for shorter replenishment cycle. Also, comparative study has been done by performing sensitivity analysis through the case study and provides managerial insight into this outcome.