三值乘积逻辑中公式的条件随机真度  

Conditional Randomized Truth Degree of Formulas in 3-valued Product Logic

作　　者：娄妍[1] 左卫兵[1] 谢蕾蕾[1] 

机构地区：[1]华北水利水电学院,河南郑州450011

出　　处：《华北水利水电学院学报》2011年第3期142-145,共4页North China Institute of Water Conservancy and Hydroelectric Power

基　　金：国家自然科学基金项目(30770555);河南省自然科学基金项目(112300410040);河南省教育厅自然科学基金项目(2011A110012)

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.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.

关 键 词：条件随机真度 条件相似度 条件伪距离 条件逻辑度量空间 

分 类 号：O141[理学—数学]