Lukasiewicz n值命题逻辑中公式的条件随机真度

基于条件概率的思想，利用赋值集的随机化方法，在Lukasiewicz n值命题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。引入公式间的条件随机相似度和条件伪距离，建立了条件随机逻辑度量空间，推导出条件伪距离的若干性质，证明了条件随机逻辑度量空间中逻辑运算的连续性，初步研究了给定条件下的近似推理理论。

Conditional randomized truth degree of formulas in Lukasiewicz n-valued propositional logic

Based on conditional probability,using the randomization method of valuation set,the concept of conditional randomized truth degree of formulas is introduced in the Lukasiewicz n-valued 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 and it is proved that the logical operations are continuous on conditional randomized logic metric space.The theory of approximate reasoning under certain information is given out.