面向不确定性知识表示的描述逻辑S ROIQ(D)不确定性扩展

Uncertain Extension of Description Logic S ROIQ(D) for Uncertain Knowledge Representation

为增强描述逻辑对不确定性知识的表示能力,提出了一种对描述逻辑SROIQ(D)进行不确定性扩展的方法。该方法基于不确定性理论和描述逻辑SROIQ(D),针对知识表示中大量存在的模糊性、粗糙性和随机性知识,首先给出了模糊粗糙概念条件概率的计算方法,并以此为基础对SROIQ(D)进行了不确定性扩展;然后基于模糊粗糙逻辑和概率逻辑分别给出了扩展后的语法、语义和推理任务,使不确定性SROIQ(D)描述逻辑具备同时处理3类不确定性知识的能力。

To enhance ability for knowledge representation of description logic,an uncertain expansion of description logic SROIQ(D)was proposed in this paper based on the uncertainty theories and description logic SROIQ(D).Aimed at widely existed fuzziness knowledge,roughness knowledge and randomness knowledge in knowledge representation,the formulas of conditional probability of fuzzy rough concepts are defined,which is the basis of the uncertain expansion of description logic SROIQ(D).Then,based on fuzzy rough logic and probability logic,the syntax,semantics and reasoning task of extended description logic SROIQ(D)are presented respectively.The extended description logic SROIQ(D)possesses the ability of handling the three types of uncertainty.