Abstract: A lower approximate operation and an upper approximate operation with respect to a Boole partition on MV-algebras are defined, and then their properties are given. By using a mass function on the set of all Boole elements of MV-algebras, a belief measure and a plausibility measure on MV-algebras are defined. The relation between lower approximate operation, upper approximate operation and belief measure, plausibility measure are discussed.

Key words: MV-algebra, lower approximate, upper approximate, belief measure, plausibility measure, uncertainty measure

摘要： 定义MV-代数上关于Boole划分的下近似和上近似运算，给出关于Boole划分的下近似和上近似运算的性质。利用MV-代数的全体Boole元素集合上的mass函数定义MV-代数上的信任函数和似然函数，讨论MV-代数的上、下近似与信任函数和似然函数的关系。

关键词: MV-代数, 下近似, 上近似, 信任函数, 似然函数, 不确定性测度