Multi-Objective Fuzzy Programming Model to Design a Sustainable Supply Chain Network Considering Disruption

Sustainable supply chain networks have attracted considerable attention in recent years as a means of dealing with a broad range of environmental and social issues. This paper considered a multiobjective Mixed-Integer Linear Programming (MILP) model and applied it to the design of a sustainable closed-loop supply chain network under uncertain conditions. The proposed model aims to minimize total cost and optimize environmental impacts of establishment of facilities, processing and transportation between each level, and social impacts including customer satisfaction. Due to the variability of the business environment, uncertainty exists in the research problem; hence, this paper applied the chance-constrained fuzzy programming approach to deal with uncertainties associated with the parameters of the proposed model. Then, the proposed multi-objective model solves the single-objective model using LP-metric method.