A fuzzy rough integrated multi-stage supply chain inventory model with carbon emissions under inflation and time-value of money

Abstract

Growing consciousness about environment compel governments across nations to enact legislation to reduce the greenhouse gas emission from industries. Recently, many investigations have been done on supply chain model imposing carbon regulation policies. But the effect of inflation and time value of money are overlooked. Here, we extended our research by considering the concept of inflation and time value of money in fuzzy rough environment where the cost coefficients are taken as trapezoidal fuzzy rough variables. In order to obtain optimistic and pessimistic equivalent of fuzzy rough objective function we use fuzzy rough expectation operator based on trust measure theory. Optimal inventory replenishment policy is obtained by using 'interior point' algorithm in MATLAB R2013a and sensitivity analysis is also presented to explore the effect of changes in carbon tax, net discount rate of inflation and optimistic-pessimistic parameter on the optimal solution.