In this paper, we introduce a generalization of the concept of fuzzy quantifier called fuzzy quantifiers over fuzzy domains. The development of this generalization is motivated by the impossibility to satisfactorily define the important operation of relativization for standard fuzzy quantifiers. We provide basic examples of these quantifiers and define and investigate also several semantic properties of them. Finally, we prove a theorem saying, among other things, that all these two argument fuzzy quantifiers that possess properties of extension and conservativity are relativizations of one-argument fuzzy quantifiers of this kind.

中文翻译：

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在模糊域上定义的模糊量词

在本文中，我们介绍了模糊量词概念的泛化，称为模糊域上的模糊量词。不能令人满意地定义标准模糊量词相对化的重要操作的动机是推动了这种概括。我们提供了这些量词的基本示例，并定义和研究了它们的几种语义特性。最后，我们证明了一个定理，除其他外，具有扩展性和保守性的所有这两个自变量模糊量词都是这种单变量模糊量词的相对化。