二值命题逻辑中基于前提信息的随机真度

Random truth degree based on premise information in two-value propositional logic

由相似度确定的伪距离是多种命题逻辑系统近似推理研究中的一个基本逻辑度量.以D-随机真度为基础,在二值命题逻辑中引入Γ-随机真度以及Γ-随机相似度和Γ-随机伪距离概念,得到Γ-随机伪距离的D-随机真度表示式,将以真度、D-随机真度为基础定义的相似度和伪距离进行统一,为研究基于前提信息的随机化近似推理问题提供数值化依据.

The pseudo metric determined by similarity is a main logic metric in studying approximate reasoning in multiple propositional logic system. Based on the D-random truth degree, we imported the concepts of Γ-random truth degree, Γ-random similarity, and Γ-random pseudo-metric into the two-value propositional logic, so that an expression of the D-random truth degree was obtained for the Γ-random pseudo-metric. The similarity and pseudo-metric defined on the basis of truth degree and D-random truth degree were unified, also. These results could provide a numerical basis for investigation of the premise information-based problems of random approximate reasoning.