摘要
利用势为3的非均匀概率空间的无穷乘积,在Go¨del三值命题逻辑系统中引入公式的真度概念,在三值逻辑14,12,14测度下证明G3中全体公式的真度值之集在[0,1]上是稠密的,并给出公式真度的表达通式,为进一步在三值命题逻辑系统中展开近似推理奠定基础.
Using the infinite product of unevenly distributed probability space with potential of 3,the concept of formula truth degree was introduced into the Godel 3-valued propositional logic system.Moreover,it was proved that in the 3-valued（1/4,1/2,1/4）measure the set of truth degree of propositions was dense in ,and a general expression of truth degree was obtained,providing a basis for further developing approximate reasoning of 3-valued propositional logic system.
出处
《兰州理工大学学报》
CAS
北大核心
2009年第5期135-138,共4页
Journal of Lanzhou University of Technology
基金
国家自然科学基金(10771129)
河南省教育厅自然科学研究计划项目(2007110016)
关键词
非均匀概率空间
测度
真度
稠密
unevenly distributed probability space
measure
truth degree
density
