Semantics of Fuzzy Temporal Databases Calculus

Liguo Deng, Zong Min Ma, Gang Zhang
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Abstract

This paper present a fuzzy temporal data model for uncertainty/implicit events more precisely, and introduce fuzzy temporal complex event value relations, which combine the concept of fuzzy temporal relations with the idea of fuzzy temporal values in a uniform framework. We elaborate a model theoretic definition of fuzzy temporal information combination strategies, which has a rigorous foundation on fuzzy temporal theory. And then define an algebra for querying database instances. We prove that our data model and algebra for fuzzy temporal values generalizes the classical relational data model and algebra. Moreover, we show that under certain assumptions, all our algebraic operations are tractable. We finally introduce the syntax/semantic of fuzzy temporal relations and describe the calculus of the fuzzy temporal algebra. Keywords—fuzzy temporal database;algebra; fuzzy temporal data model; fuzzy value; fuzzy degree
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模糊时态数据库演算的语义
本文提出了一种更精确的不确定/隐式事件的模糊时间数据模型,并引入了模糊时间复事件值关系,将模糊时间关系的概念与模糊时间值的思想统一在一个框架中。给出了模糊时间信息组合策略的模型理论定义,为模糊时间理论提供了严格的理论基础。然后定义查询数据库实例的代数。证明了模糊时间值的数据模型和代数是经典关系数据模型和代数的推广。此外,我们还证明了在一定的假设条件下,所有的代数运算都是可处理的。最后介绍了模糊时间关系的语法/语义,并描述了模糊时间代数的演算。关键词:模糊时态数据库;代数;模糊时态数据模型;模糊值;模糊程度
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