n值R_(0)命题逻辑系统中公式的条件随机真度  

Conditional randomized truth degree of formulas in n-valued R 0 propositional logic system

作　　者：许倩 惠小静[1] 南琼 XU Qian;HUI Xiaojing;NAN Qiong(College of Mathematics and Computer Science,Yan’an University,Yan’an 716000,China)

机构地区：[1]延安大学数学与计算机科学学院,陕西延安716000

出　　处：《湖北大学学报（自然科学版）》2024年第1期133-140,共8页Journal of Hubei University：Natural Science

基　　金：国家自然科学基金(12261090)资助。

摘　　要：基于条件概率的思想和赋值集的随机化方法,在n值R_(0)命题系统中提出公式的条件随机真度,证明条件随机真度的MP规则和HS规则。其次,引入公式间的条件随机相似度和条件随机伪距离,建立条件随机逻辑度量空间,进一步给出在条件Γ下的近似推理理论。Based on conditional probability and the randomization method of valuation set,the conditional randomized truth degree of the formula was proposed in the n-valued R_(0)propositional logic system.The MP rule and HS rule of conditional randomized truth degrees were proved.And then the conditional randomized similarity and conditional randomized pseudo-distance between formulas were introduced,the conditional randomized logic metric space was established,and the approximate reasoning theories under conditions were given.

关 键 词：条件随机真度 条件随机相似度 条件随机逻辑度量空间 

分 类 号：O141.1[理学—数学]