Abstract: This paper points out that the [p]-randomized divergence degree and the values of randomized three-point distribution are closely related in randomized logic metric space of 3-valued propositional logical system. It is proved that the [p]-randomized divergence degree of the set of atomic formulas with different values of three-point distribution sequence can be full of the real number interval [(0,1]].

Key words: randomized truth degree, randomized logic metric space, randomized divergence degree

摘要： 在三值命题逻辑系统的随机逻辑度量空间[(F(S),ρp)]中，指出理论的[p]-随机发散度是和随机三值分布序列[p=(p1,p2,…)]的具体取值密切相关的，证明了全体原子公式之集[S]的[p]-随机发散度随着三值分布序列[p]的不同取值可以充满整个[(0,1]]实数区间。

关键词: 随机真度, 随机逻辑度量空间, 随机发散度