Abstract: The concept of [p]-randomized divergence degree is introduced in randomized logic metric space of 2-valued propositional logical system. It points out that the [p]-randomized divergence degree and the values of randomized two-point distribution are closely related. It is proven that the[p]-randomized divergence degree of the set of atomic formulas with different values of two-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： 在二值命题逻辑系统的随机逻辑度量空间[(F(S),ρp)]中提出理论的[p]-随机发散度概念，指出理论的[p]-随机发散度是和随机两点分布序列[p=(p1,p2,?)]的具体取值密切相关的，证明了全体原子公式集[S]的[p]-随机发散度随着两点分布序列[p]的不同取值可以充满整个实数[(0,1]]区间。

关键词: 随机真度, 随机逻辑度量空间, 随机发散度