模糊命题逻辑L*中公式的条件随机真度  

The conditional randomized truth degree of formulas in the fuzzy logic system L*

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：《山东大学学报（理学版）》2012年第6期121-126,共6页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(51009065);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)

摘　　要：在赋值格为[0,1]的模糊逻辑系统L*中,基于条件概率的思想和赋值集的随机化方法提出了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,并初步研究了给定条件下的近似推理理论。In the fuzzy logic system L ＊ with valuation lattice ,based on conditional probability and using the randomization method of valuation set,the concept of conditional randomized truth degree of formulas 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 presented 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.Then the theory of approximate reasoning under certain information is studied.

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 近似推理 

分 类 号：O141[理学—数学] O159[理学—基础数学]