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arXiv 1302.0334cs.AI
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本体推理的类代数

Class Algebra for Ontology Reasoning

Daniel Buehrer, Chee-Hwa Lee

摘要:

类代数为可能不知道彼此定义的用户之间共享ISA层次结构提供了一个自然的框架。这允许来自关系数据库、面向对象数据库和标记的XML文档的数据被联合到一个分布式本体中,可由所有用户共享,而不需要事先协商或为每个领域开发“标准”本体。此外,类代数在类的类代数定义(即它的“意图”)和满足表达式的所有实例的集合(即它的“范围”)之间产生函数对应。因此,该框架有助于快速查找各种定义的实例和反例。在开发真实世界的模型时,这种信息非常有价值,并且可以作为一种宝贵的工具来帮助证明与这些类代数表达式有关的定理。最后,ISA层次结构中对象的相对频率可以产生有用的布尔概率代数。传统的信息理论分类方法可以使用这些概率来获得对数据库中的对象进行分类的最佳方式。

英文摘要:

Class algebra provides a natural framework for sharing of ISA hierarchies between users that may be unaware of each other's definitions. This permits data from relational databases, object-oriented databases, and tagged XML documents to be unioned into one distributed ontology, sharable by all users without the need for prior negotiation or the development of a "standard" ontology for each field. Moreover, class algebra produces a functional correspondence between a class's class algebraic definition (i.e. its "intent") and the set of all instances which satisfy the expression (i.e. its "extent"). The framework thus provides assistance in quickly locating examples and counterexamples of various definitions. This kind of information is very valuable when developing models of the real world, and serves as an invaluable tool assisting in the proof of theorems concerning these class algebra expressions. Finally, the relative frequencies of objects in the ISA hierarchy can produce a useful Boolean algebra of probabilities. The probabilities can be used by traditional information-theoretic classification methodologies to obtain optimal ways of classifying objects in the database.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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