Selecting green third party logistics providers for a loss-averse fourth party logistics provider in a multiattribute reverse auction

•A green winner determination with conflicting and interactive attributes is studied.•The loss-averse behavior with an internal reference point of a 4PL is considered.•Prospect theory and Choquet integral are integrated into AHP for decision making.•A novel, effective, and robust method is proposed for determination of green 3PLs.•Managerial insights are drawn for 4PLs and 3PLs in the logistics industry.