A fuzzy association algebra based on a fuzzy object oriented data model

Selee Na, Seog Park
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引用次数: 15

Abstract

The complexity of real applications in the field of intelligent information systems has required fuzzy data models for the expression and processing of uncertain and imprecise data. We propose a fuzzy association algebra (FA-algebra) as a query algebra for a new fuzzy object oriented data model (F-model). The F-model is investigated as fuzzy extensions of an object oriented data model, in which fuzzy objects and their fuzzy associations are represented. In FA-algebra, fuzzy objects and fuzzy associations are uniformly represented by fuzzy association patterns. As the results of operations by the operators defined in the FA-algebra, the returned fuzzy association patterns contain the truth values which mean the degrees of suitability of patterns as answers for the queries. The completeness of the FA-algebra is shown.
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基于模糊面向对象数据模型的模糊关联代数
智能信息系统领域实际应用的复杂性要求模糊数据模型来表达和处理不确定和不精确的数据。我们提出了一种模糊关联代数(fa -代数)作为一种新的模糊面向对象数据模型(f -模型)的查询代数。研究了f模型作为面向对象数据模型的模糊扩展,其中模糊对象及其模糊关联被表示。在fa -代数中,模糊对象和模糊关联用模糊关联模式统一表示。作为fa -代数中定义的运算符操作的结果,返回的模糊关联模式包含真值,真值表示模式作为查询答案的适合程度。证明了fa -代数的完备性。
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