In the product servitization supply chain, the multiple providers provide products and services to the system
integrators and gain the profits of products and services. Taking the double profit allocation of the providers as an example,
the profit allocation model of the fuzzy bicooperative game is presented by the service quality of the provider as participation
based on the bicooperative game. The Aubin core and the crisp core of the fuzzy bicooperative game are defined. It is proved
that the Weber set is consistent with the crisp core and the Weber set is the subset of the Aubin core, and the greater the
alliance, the greater the marginal profit with the service quality of the provider increases in the convex fuzzy bicooperative
game, which indicate that the optimal allocation is existent and the fuzzy bicoalition is stable.

provider;fuzzy bicooperative game;core;Weber set