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三值命题逻辑随机化的注记
引用本文:左卫兵.三值命题逻辑随机化的注记[J].河北师范大学学报(自然科学版),2011,35(4).
作者姓名:左卫兵
作者单位:华北水利水电学院数学与信息科学学院,河南郑州,450046
基金项目:河南省自然科学基金(112300410040); 河南省教育厅自然科学研究项目(2010A110011)
摘    要:通过引入随机化映射和真度权函数等概念,提出了三值命题逻辑系统中公式的随机真度的等价定义,给出了随机真度的推理规则,研究了随机度量空间上逻辑运算的连续性等问题,为在三值命题逻辑系统中进行近似推理提供了另外的方法.

关 键 词:命题逻辑  真度权函数  随机真度  随机伪度量  连续性  

Note of Randomization of 3-valued Propositional Logic
ZUO Weibing.Note of Randomization of 3-valued Propositional Logic[J].Journal of Hebei Normal University,2011,35(4).
Authors:ZUO Weibing
Institution:ZUO Weibing (College of Mathematics and Information Sciences,North China University of Water Resources and Electric Power,Henan Zhengzhou 450046,China)
Abstract:By introducing random mapping and truth degree weight function,the definition of equivalence of the randomized truth degree of formula in 3-valued propositional logic is obtained.The inference rule based on randomized truth degree are given and continuity of logical operations on randomized logic metric spaces are studied.Another way for approximate reasoning in the logic system is provided.
Keywords:propositional logic  truth degree weight function  randomized truth degree  randomized pseudo-metric  continuity  
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