Existing winner determination models tend to overlook the sustainable attributes of third party logistics (3PL) providers. This paper investigates a novel green winner determination problem that has several features, including (i) the sustainable attributes with conflicting and interactive properties of potential 3PLs, and (ii) the loss-averse behavior with an internal reference point of a fourth party logistics (4PL) provider. For the attributes with a combination of crisp data, interval numbers and intuitionistic 2-tuple linguistic terms, we integrate the prospect theory (PT) and Choquet integral with the “benefits, opportunities, costs and risks (BOCR)” framework to propose a novel PTC-BOCR solution method. Numerical experiments are conducted to illustrate the effectiveness and applicability of PTC-BOCR by comparing it with some known methods. Comparison analysis indicates that PTC-BOCR is robust with respect to the variance of 3PLs’ attribute values, while behavioral parameter analysis reveals that the loss-averse behavior of the 4PL is intensified as the difference of 3PLs varies. Managerial insights are also drawn for green 3PLs to win the auction. This study is a significant extension of traditional decision-making methods, which could benefit the realization of a sustainable logistics system in a cost-effective way for 4PLs. Copyright © 2020 Published by Elsevier Inc.