the development of a green supply chain dual-objective facility by considering different levels of uncertainty

This paper presents a dual-objective facility programming model for a green supply chain network. the main objectives of the presented model are minimizing overall expenditure and negative environmental impacts of the supply chain. this study contributes to the existing literature by incorporating uncertainty in customer demand, suppliers, production, and casting capacity. an industrial case study is also analyzed to reveal the feasibility of the proposed model and its application. a fuzzy approach which is known as th is used to solve the suggested dual-objective model. th approach is integration of a max–min method (lh) and modified version of werners’ approach (mw). the outcome of this study reveals that the presented model can support green supply chain network in different levels of uncertainty. in presented model, cost and negative environmental impacts derived from the supply chain network will increase of higher levels of uncertainty.