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标准序列逻辑系统S₃中命题的真度值之集在[0,1]上的分布

Distribution of propositional truth value set in in standard serial logic system S₃

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【Author】 LI Jun~1, LAN Qian~2, XIA Ya-feng~1(1. School of Sciences, Lanzhou Univ. of Tech., Lanzhou730050, China; 2. College of Civil Engineering, Lanzhou Univ. of Tech., Lanzhou730050, China)

【机构】兰州理工大学理学院；兰州理工大学土木工程学院；兰州理工大学理学院甘肃兰州　730050；甘肃兰州　730050；甘肃兰州　730050；

【摘要】利用势为3的均匀概率空间的无穷乘积在三值标准序列逻辑系统中引入了公式的真度概念,给出了真度推理规则,证明了全体公式的真度值之集在[0,1]上是稠密的,并给出了公式真度的表达通式,为进一步建立三值命题逻辑的近似推理理论奠定了基础.更多还原

【Abstract】 Using the infinite product of homogeneous probability space with potential of 3, a conception of formula truth degree is introduced into 3-valued standard serial logic system and a inferential rule of truth degree is also given. It is proved further that the set of complete formula truth degree in is dense one; and a general expression for formula truth degree is given also, providing a basis for further establishing approximate reasoning theory of 3-valued propositional logic.更多还原