中文摘要：

产品服务化供应链中，多个提供商向系统集成商提供产品和服务，获得了产品和服务收益．以提供商的双重‘收益分配为例，将提供商的服务质量作为参与程度，在双合作博弈的基础上，提出了模糊双合作博弈的收益分配模型，定义了Aubin核心和谢sp核心，证明了凸模糊双合作博弈中，韦伯集与crisp核心相等且是Aubin核心的子集，并证明了提供商的服务质量提高时，参与的联盟越大，边际收益越大，从而保证最优分配方案的存在性和模糊双联盟结构的稳定性．

英文摘要：

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.