Neutrosophic Goal Programming Approach to A Green Supplier Selection Model with Quantity Discount

Abstract

In this study, we have proposed a supplier selection problem with the goals of minimizing the net cost, minimizing the net rejections, minimizing the net late deliveries, and minimizing the net green house gas emission subject to realistic constraints like suppliers’ capacity, buyer’s demand etc. Due to uncertainty, the buyer’s demand is fuzzy in nature and can be represented as a triangular neutrosophic number. We have also considered that quantity discounts are provided by the suppliers. The weights for different criteria are calculated using neutrosophic analytical hierarchy process. The neutrosophic goal programming approach has been applied in this article for solving the proposed supplier selection problem. An illustration has been given with comparison between fuzzy goal programming approach to demonstrate the effectiveness of the proposed model.