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In this paper, an ontology is regarded as an information system in formal concept analysis. Then, based on theories of concepts, a formal context in ontologies defined by a set of properties is conceptualized as a concept with the extent and the intent. There are two kinds of properties implied by a formal context: one is the set of properties in its intent and another is the set of default properties...
Normal default theories have many properties exclusively such as semi-monotonicity and existence of extensions, etc, and they have precisely denned proof systems and model theories. Hence, a translation of default theories to normal default theories is necessary in order to make use of the proof systems and model theories of normal default theories to study non-normal default theories. A default is...
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