Benefit distribution of logistics service supply chain considering fuzzy coalition structure based on <italic>τ</italic>-value

ObjectiveFor logistics member enterprises participating in cooperation with different degrees of participation and forming a cooperative structure with a fuzzy coalition, a scientific and fair benefit distribution model was adopted to promote the cooperation of logistics service supply chain.MethodFrom the perspective of fuzzy coalition structure, the τ-value method was used to investigate the benefit distribution of logistics service supply chain with fuzzy coalition cooperation and with fuzzy coalition structured cooperation. The logistics service supply chain was composed of one logistics service integrator and two logistics service providers. The influence of different degrees of participation of logistics service integrator on benefit distribution was studied.ResultWith the increase of participation of logistics service integrator, it will distribute more benefits with the cooperation of fuzzy coalition. The logistics service providers distribute more benefits with the fuzzy coalition structure, conceiving to promoting the rationality and fairness of benefit distribution. It is an efficient cooperation mode of logistics service supply chain. There is a certain threshold range for the participation of logistics service integrator. The cooperation efficiency is high while the total profits is low, when the degree of participation is moderate. The cooperation efficiency is low while the total profits is high, when the degree of participation is high.ConclusionAs core member enterprises of logistics service supply chain, the logistics service integrators have the responsibility to enhance the cooperative benefits of logistics service supply chain. They actively promote the fuzzy coalition structure cooperation, which is conducive to the efficient cooperation of logistics service supply chain. Simultaneously, they encourage the logistics service providers to increase their participation in cooperation. Through the high participation of both sides, a high-level cooperation of entire logistics service supply chain will be achieved.