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An Extension of Semantic Proximity for Fuzzy Multivalued Dependencies in Fuzzy Relational Database

机译:模糊关系数据库中模糊多值依存关系的语义扩展

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Following the development of fuzzy logic theory by Lotfi Zadeh, its applications were investigated by researchers in different fields. Presenting and working with uncertain data is a complex problem. To solve for such a complex problem, the structure of relationships and operators dependent on such relationships must be repaired. The fuzzy database has integrity limitations including data dependencies. In this paper, first fuzzy multivalued dependency based semantic proximity and its problems are studied. To solve these problems, the semantic proximity’s formula is modified, and fuzzy multivalued dependency based on the concept of extension of semantic proximity with degree is defined in fuzzy relational database which includes Crisp, NULL and fuzzy values, and also inference rules for this dependency are defined, and their completeness is proved. Finally, we will show that fuzzy functional dependency based on this concept is a special case of fuzzy multivalued dependency in fuzzy relational database.
机译:随着Lotfi Zadeh对模糊逻辑理论的发展,研究人员在不同领域对其应用进行了研究。呈现和处理不确定的数据是一个复杂的问题。为了解决这样一个复杂的问题,必须修复关系和依赖于这种关系的运算符的结构。模糊数据库具有完整性限制,包括数据依赖性。本文首先研究了基于模糊多值依赖的语义接近度及其存在的问题。为了解决这些问题,修改了语义接近度的公式,并在模糊关系数据库中定义了基于程度的语义接近度扩展的模糊多值依赖关系,该关系数据库包括Crisp,NULL和模糊值,并且为此依赖关系的推理规则如下:定义,并证明其完整性。最后,我们将证明基于此概念的模糊功能依赖关系是模糊关系数据库中模糊多值依赖关系的特例。

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