Abstract: Randomized consistency degree is introduced in n-valued Lukasiewicz proposition logic system. It is indicated that the randomized consistency degree of a theory is related with the selection of probability distribution. Then it proves that the randomized consistency degree of a theory can maintain the basic properties in n-valued randomized logic metric space as in classical logic metric space.

Key words: randomized truth degree, randomized pseudo-metric, randomized logic metric space, randomized consistency degree

摘要： 在[n]值Lukasiewicz命题逻辑系统中，提出理论的随机相容度的概念，并指出理论的随机相容度是和概率分布列的选取相关的。最后证明了理论的随机相容度在[n]值随机逻辑度量空间中，同样保持经典逻辑度量空间中的基本性质。

关键词: 随机真度, 随机伪距离, 随机逻辑度量空间, 随机相容度