摘要
基于MV代数(Many-Valued algebra)语义,通过在MV代数赋值格和全体命题集上分别建立概率测度,利用积分方法提出了一种格值逻辑上命题的概率真度.由此可诱导出命题集上的伪距离,进而在格值逻辑上建立了概率逻辑度量空间并展开程度化推理.本文将计量逻辑学中近似推理方法推广到格值逻辑上,为格值逻辑的程度化提供了一种可行的方法.
Based on the notion of MV-algebra semantics,probability measure is set up in MV-algebra evaluation lattice and set of all propositions, and a probability la＇uth degree of propositions in lattice-valued logic is proposed with integral. Thus pseudo- metric in set of all propositions is induced, probability logic metric space is established in lattice-valued logic, and graded reasoning is developed.In summary ,approximate reasoning metlxxi in quantitative logic is expanded to lattice-valued logic,and it is feasible in graded in lattice-valued logic.
出处
《电子学报》
EI
CAS
CSCD
北大核心
2013年第10期2035-2040,共6页
Acta Electronica Sinica
基金
河南省自然科学基金(No.112300410040)
河南省教育厅自然科学基金(No.2011A110012
No.13A110719)
河南省高等学校青年骨干教师资助计划(No.2011GGJS-097)
关键词
MV代数
格值逻辑
概率真度
概率逻辑度量空间
近似推理
MV-algebra
lattice-valued logic
probability Iruth degree
probability logic metric space
approximate reasoning
