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On Completeness of Inference Rules for Vague Functional and Vague Multivalued Dependencies in two-element Vague Relation Instances

机译:关于两个元素模糊关系实例模糊函数和模糊多值依赖性的推理规则的完整性

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摘要

In this paper we pay attention to completeness of the inference rules for vague functional and vague multivalued dependencies in two-element, vague relation instances. Motivated by the fact that the set of the inference rules is a complete set, that is, these exists a vague relation instance on given relation scheme which satisfies all vague functional and vague multivalued dependencies in the closure of the union of some set of vague functional and some set of vague multivalued dependencies, and violates a vague functional, respectively, a vague multivalued dependency outside of the closure, we prove that the vague relation instance may be chosen to contain only two elements.
机译:在本文中,我们注意到在两个元素,模糊关系实例中的模糊功能和模糊多值依赖性的推理规则的完整性。 由于推断规则的集合是一个完整的集合,即,这些存在于给定关系方案上的模糊关系实例,该方案满足了一些模糊功能的联合闭合中的所有模糊功能和模糊多值依赖性的含糊不愿表 和一些模糊的多值依赖关系,并分别违反了一个模糊的功能,一个模糊的多值依赖性,我们证明可以选择模糊的关系实例来包含两个元素。

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