In this paper, we first propose the model of multi-leader–follower games with fuzzy goals involving fuzzy parameters and introduce its \(\alpha \)-FNS equilibrium. Next, we shift our attention to the existence of \(\alpha \)-FNS equilibrium and prove it by Kakutani’s fixed point theorem. Finally, we illustrate an example to show that the equilibrium existence result is valid.

中文翻译：

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目标和参数模糊的多主从博弈均衡解的存在性

在本文中，我们首先提出了涉及模糊参数的模糊目标的多领导者-追随者博弈模型，并介绍了其\(\alpha \) -FNS均衡。接下来，我们将注意力转向\(\alpha \) -FNS均衡的存在性，并用角谷不动点定理证明它。最后，我们举例说明均衡存在结果是有效的。