主要研究支付值为直觉模糊数的模糊合作对策及其解的问题.首先在模糊合作对策和直觉模糊集相关理论的基础上建立了新的合作对策模型,给出适合这种模型的解的相应定义,重点提出了直觉模糊权重核心的概念;其次讨论了解之间的关系并给出了求解权重核心的方法;最后通过实例分析验证了该方法的可行性和有效性.

This paper is to study the problem of the cooperative game with payoffs of intuitionistic fuzzy number (IFN) and its solutions. Firstly, based on theory of the
fuzzy coalition game and intuitionistic fuzzy sets, the new cooperative game model is established and the related definitions are given. Specially, the concept of the weight cores in this model are given. Then, we provide a deep discussion of the relationship between these solutions and point out that the weight cores can be obtained by the method presented in the paper. Finally, an example is given to explain the feasibility and availability of this method.