In this paper, we present a new model closer to the real-life — called the fuzzy exchange economy with a continuum of agents (FXE-CA) — that combines fuzzy consumption and fuzzy initial endowment with the agent’s fuzzy preference in the fuzzy consumption set. To characterize the fuzzy competitive allocations of the FXE-CA, we define the indifference fuzzy core of a FXE-CA as the set of all fuzzy allocations that cannot be dominated by any coalition of agents. We also propose the Mas-Colell indifference fuzzy bargaining set, in which no coalition has a justified objection at a fuzzy allocation against any other coalition. Finally, we verify that the indifference fuzzy core and the indifference fuzzy bargaining set of a FXE-CA coincide with the set of all fuzzy competitive allocations under some conditions, respectively. This indicates that the agents unanimously distribute the fuzzy competitive allocations of a FXE-CA.

中文翻译：

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具有连续代理的模糊交换经济的核心、讨价还价集和竞争分配集

在本文中，我们提出了一个更接近现实的新模型——称为具有连续代理的模糊交换经济（FXE-CA）——它将模糊消费和模糊初始禀赋与代理在模糊消费集中的模糊偏好相结合. 为了表征 FXE-CA 的模糊竞争分配，我们将 FXE-CA 的无差异模糊核心定义为不能由任何代理联盟控制的所有模糊分配的集合。我们还提出了 Mas-Colell 无差异模糊讨价还价集，其中没有任何联盟对任何其他联盟的模糊分配有正当的反对意见。最后，我们验证了 FXE-CA 的无差异模糊核心和无差异模糊讨价还价集在某些条件下分别与所有模糊竞争分配的集合一致。