有限Boole语义中公式的条件随机真度  

The Conditional Randomized Truth Degree of Formulas on Finite Boolean Semantics

作　　者：左卫兵[1] 

机构地区：[1]华北水利水电学院数学与信息科学学院,河南郑州450045

出　　处：《模糊系统与数学》2012年第4期31-36,共6页Fuzzy Systems and Mathematics

基　　金：河南省自然科学基金资助项目(112300410040);河南省教育厅自然科学基金资助项目(2011A110012);河南省高等学校青年骨干教师资助计划项目(2011GGJS-097)

摘　　要：基于条件概率的思想,利用赋值集的随机化方法,在有限Boole语义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,建立了条件随机逻辑度量空间,证明了条件随机逻辑度量空间中逻辑运算的连续性,并初步研究了给定条件下的近似推理理论。Based on conditional probability,using the randomization method of valuation set,the concept of conditional randomized truth degree of formulas on finite Boolean semantics is introduced.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.It is proved that the logical operations are continuous on conditional randomized logic metric space and the theory of approximate reasoning under certain information are given out.

关 键 词：Boole语义 条件随机真度 条件相似度 条件随机逻辑度量空间 近似推理 

分 类 号：O141[理学—数学] O159[理学—基础数学]