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引进MV-代数Boole划分概念,定义MV-代数上关于Boole划分的下近似和上近似运算,细致地研究关于Boole划分的下近似和上近似运算的性质,证明MV-代数中全部可定义元素构成一个Boole代数。将集合意义下的D-S证据理论推广到MV-代数,利用Boole划分上的概率函数和上、下近似运算引进MV-代数上的信任测度和似然测度。
The concept of MV-algebraic Boole partition is introduced. The lower approximations and upper approximations of Boole partition are defined on MV-algebra. The properties of lower approximation and upper approximation on Boole partition are studied in detail. All of the definable elements in MV-algebra are proved A Boolean algebra. The D-S evidence theory in the sense of set is generalized to MV-algebra, and the confidence measure and likelihood measure on MV-algebra are introduced by using the probability function on the Boole partition and the upper and lower approximation operations.