A green supply chain transportation network model incorporating multi-stakeholders’ condition using fuzzy game theory

Abstract

Abstract Companies around the globe, aim to reduce stock, production cycle time, transportation cost, quality cost, to maximize their benefits. This is normally done by using supply chain management principles. There is, also, a raising global awareness around reducing our negative environmental impacts. To this end, this paper proposes a multi-level green supply chain transportation model under multi-stakeholder’s condition, in which fuzzy game and Shapley-Hukuhara value were used to select the best interactive mode by presenting different scenarios so that all stakeholders achieve their maximum benefits. The optimal model includes the lowest costs of purchase and production, maintenance, shortage, and warehousing, while the produced CO2 is minimized at different stages of production and transportation. The results of a numerical case study showed that the answer provided by the game theory for the value of the objective function is less than the ones by the transport problem, despite the deficit penalty.