中文摘要：

以随机真度为基础，提出了二值命题逻辑中公式的在有限信息Г限制下的随机真度概念。以此为基础定义了公式的Г-限制随机相似度和Г-限制随机伪距离，得到了在有限信息Г限制下公式到理论结论集的Г-限制随机伪距离的Г-限制随机真度表示式，为二值命题逻辑中基于有限信息限制的近似推理的随机化研究提供数值化工具。

英文摘要：

According to the random truth degree, the random truth degree of formula is obtained under the F-limited information control in two-valued propositional logic. The F- limitation random similarity and F- limitation random pseudo metric of the formula are defined respectively. The F-random truth degree expression of F- limitation ran- dom pseudo metric from formula to conclusion set are got under the F-limitation of finite information. So these stud- ies become the numerical identification of approximate reasoning＇ s randomization which is based on the limited in- formation in two-valued propositional logic.