MV-代数上的不确定性测度

Uncertainty measures on MV-algebra

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。

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.