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一种五元格值逻辑上命题真度的分布
引用本文:左卫兵,张 嘎.一种五元格值逻辑上命题真度的分布[J].计算机工程与应用,2011,47(22):35-36.
作者姓名:左卫兵  张 嘎
作者单位:华北水利水电学院 数学与信息科学学院,郑州 450011 ;
基金项目:河南省自然科学基金(No.112300410040);河南省教育厅自然科学基金(No.2011A110012)
摘    要:利用势为5的均匀概率空间的无穷乘积在一种五元格值逻辑系统中引入了公式的真度概念,给出了真度的一些推理规则,证明了全体公式的真度值之集在0,1]上是稠密的,给出了全体公式真度的表达通式,为在五元格值逻辑系统中建立近似推理理论提供了一种可能的框架。

关 键 词:格值逻辑  真度  推理规则  稠密性
修稿时间: 

Distribution of propositional truth degree in five lattice-valued logic system
ZUO Weibing,ZHANG Ga.Distribution of propositional truth degree in five lattice-valued logic system[J].Computer Engineering and Applications,2011,47(22):35-36.
Authors:ZUO Weibing  ZHANG Ga
Affiliation:School of Math.& Information Science,North China University of Water Resources & Electric Power,Zhengzhou 450011,China
Abstract:Based on the infinite product of evenly distributed probability space with number of 5,the theory of truth degree in a five lattice-valued logic system is introduced.Some inference rules are given.It is proved that the set of truth degree of formulae is dense in 0,1],and the expressions of truth degree are obtained.Therefore a possible framework for establishing approximate theory of five lattice-valued logic system is proposed.
Keywords:lattice-valued logic system  truth degree  inference rule  density
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