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.%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.
展开▼
