Abstract: After [ξ]-consistency degree is defined in the randomized logic metric space of n-valued Lukasiewicz propositional logic system, and its properties are researched. It is proved that [ξ]-consistency degree can maintain the basic properties in logic metric space.

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

摘要： 在[n]值Lukasiewicz命题逻辑系统的随机逻辑度量空间中，提出[ξ]-相容度的概念，讨论它的基本性质，证明了[ξ]-相容度在[n]值随机逻辑度量空间仍然保持经典逻辑度量空间中的基本性质。

关键词: 随机真度, 随机逻辑度量空间, 发散度, 相容度