五值非线性序集逻辑系统中命题真度的分布  

The distribution of propositional truth degree in 5-valued logic systems associated with a nonlinear ordering true value set

作　　者：隋云云[1] 

机构地区：[1]潍坊学院数学与信息科学学院,山东潍坊261061

出　　处：《山东大学学报（理学版）》2009年第1期78-82,共5页Journal of Shandong University(Natural Science)

摘　　要：利用势为5的均匀概率空间的无穷乘积在五值非线性序集逻辑系统L25中引入了公式的真度概念,给出了真度的一些推理规则,并证明了全体公式的真度值之集在[0,1]上是稠密的,给出了全体公式概率真度的表达通式,为在非线性序集逻辑系统L25中建立近似推理理论提供了一种可能的框架。Base on the infinite product of evenly distributed probability space with cardinality of 5, the theory of truth degrees in 5-valued logic systems associated with a nonlinear ordering true value set was introduced. Some inference rules were given. It was proved that the set of truth degree of propositions is dense in [0,1 ], and the expressions of truth degree were obtained. Therefore a possible framework for establishing approximate reasoning theory of 5-valued pro-positional logic systems L5^2 was proposed.

关 键 词：逻辑系统 非线性序集 真度 推理规则 

分 类 号：O141.1[理学—数学]