Dempster-Shafer logical model for fuzzy Description Logics

Loukia Karanikola, Isambo Karali
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引用次数: 1

Abstract

Description Logics, defined as a family of knowledge representation languages, have gained a lot of popularity, due to their connection with the Semantic Web, and more precisely, with the Web Ontology Language - OWL (OWL-DL). Vague information cannot be considered negligible when dealing with Semantic Web tasks. In this context, the definition of fuzzy DLs has been emerged. The Semantics of any DL is defined by an interpretation, which can be considered as a state of a world, where a DL formula (crisp or fuzzy) holds. In our method, we consider an uncertainty extension in a fuzzy DL, in the sense that an axiom holds with a belief degree. In order to represent these axioms, we assume Dempster-Shafer basic probability assignments on states of world (interpretations). We define the concept of Dempster-Shafer Fuzzy interpretation, in order to define semantics for our DL.
模糊描述逻辑的Dempster-Shafer逻辑模型
描述逻辑被定义为一系列知识表示语言,由于与语义Web,更准确地说,与Web本体语言OWL (OWL- dl)的联系而得到了广泛的应用。在处理语义Web任务时,模糊信息不能被认为是可以忽略的。在这种背景下,模糊dl的定义出现了。任何DL的语义都是由一个解释定义的,它可以被认为是一个世界的状态,其中DL公式(清晰或模糊)成立。在我们的方法中,我们考虑模糊深度学习中的不确定性扩展,即公理具有一个置信度。为了表示这些公理,我们假设了世界状态(解释)的Dempster-Shafer基本概率赋值。为了定义DL的语义,我们定义了Dempster-Shafer模糊解释的概念。
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