中文摘要：

基于条件概率的思想,利用赋值集的随机化方法,在三值乘积逻辑系统中引入公式的条件随机真度,证明了条件随机真度的MP规则和HS规则,引入公式间的条件相似度和条件伪距离,建立了条件逻辑度量空间,推导出条件伪距离的若干性质.

英文摘要：

Based on conditional probability,using the randomization method of valuation set,the concept of conditional randomized truth degree of formulas is introduced in the 3-valued product propositional logic.The MP rule and HS rule of conditional randomized truth degrees are proved.The concepts of conditional randomized similarity and conditional pseudo-metric between formulas are introduced and conditional randomized logic metric space is built.Several properties of conditional pseudo-metric are deduced.