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Possibility Theory and Formal Concept Analysis Context Decomposition and Uncertainty Handling

机译：可能性理论与形式概念分析语境分解与不确定性处理

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Formal Concept Analysis uses a simple representation framework called 'formal context'. In the classical setting, a formal context specifies existing Boolean relationships between a set of objects and their corresponding properties. Formal concepts are then defined as pairs consisting of a set of objects and a set of properties that mutually characterize each other through a Galois connection. Another Galois connection is also introduced in this setting on the basis of operators induced by a recent possibility theory reading of Formal Concept Analysis. It is shown that this second Galois connection enables us to characterize independent sub-contexts inside the formal context. The second part of the paper discusses an extension of Formal Concept Analysis that has not been much studied, namely the situation where one may be uncertain on the fact that an object possesses or not a Boolean property. Uncertainty is here represented in the possibilistic representation framework.
机译：形式概念分析使用一种称为“形式上下文”的简单表示框架。在经典环境中，形式上下文指定一组对象及其对应属性之间的现有布尔关系。然后将形式概念定义为由一组对象和一组属性组成的对，它们通过Galois连接相互表征。在这种情况下，还基于操作者的概念引入了另一种Galois连接，该操作者是根据对形式概念分析的最新可能性理论阅读而得出的。结果表明，第二个Galois连接使我们能够表征形式上下文中的独立子上下文。本文的第二部分讨论了形式概念分析的扩展，该扩展尚未进行太多研究，即一种情况，即对于一个对象是否具有布尔属性这一事实可能不确定。不确定性在这里用可能性表示框架表示。

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