一种面向形式概念分析的语义相似度计算框架
A Framework for Semantic Similarity Estimation in Formal Concept Analysis

为了计算形式概念分析的形式概念或概念格的语义相似度，利用描述逻辑概念作为形式背景的特征属性对形式概念分析的形式背景进行语义扩展，即利用领域本体(描述逻辑知识库)提出了形式背景的一种语义表示方法．在此基础上，基于形式背景的语义表示，利用描述逻辑推理(即本体推理)给出了一种面向形式概念分析的形式概念或概念格语义相似度计算框架，并且证明了实例化该架构所得到的语义相似度计算方法满足对称性和等价不变性等基本性质．
： To realize the semantic similarity estimation for Formal Concept Analysis (FCA) concepts or concept lattices, the formal contexts of FCA are extended into semantic cases by using the concepts of Description Logics (DLs) to act as the attributes of formal contexts, that is, a kind of semantic representation for formal contexts is presented using domain ontologies (DL knowledge bases). Furthermore, a framework for semantic similarity estimation of FCA concepts and concept lattices by using DL reasoning (i.e., ontology reasoning) is proposed based on the semantic representation for formal contexts. The framework ensures that the semantic similarity measures resulting from instantiations fulfill fundamental properties such as symmetry and equivalence invariance