摘要
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。
In this paper, we introduce a concept of Boole partition in an MV-algebra, define a lower approximate operation and an upper approximate operation based on a Boole partition,study in detail their properties,and then obtain the conclusion that the set of all definable elements constitutes a Boole algebra. We extend the D-S evidence theory of Boole algebras to MV-algebras, define a belief measure and a plausibility measure by means of the probability function on a Boole partition and the lower approximate operation and the upper approximate operation in MV-algebra.
出处
《模糊系统与数学》
CSCD
北大核心
2015年第4期158-166,共9页
Fuzzy Systems and Mathematics
基金
四川省教育厅科学研究重点项目(15ZA0319)
湖南省教育厅科学研究重点项目(2014A135)
湖南省科技计划项目(2014FJ3010
2014SK3229)
关键词
MV代数
Boole子代数
下近似
上近似
信任测度
似然测度
MV-algebra
Boole Subalgebra
Lower Approximate Operation
Upper Approximate Operation
Belief Measure
Plausibility Measure
