摘要
基于B-赋值理论,通过在Boole赋值格和全体公式集上分别建立概率测度,利用积分方法提出了Boole语义上公式的B-概率真度,进而在Boole语义上建立了概率逻辑度量空间,将计量逻辑学中近似推理方法推广到Boole语义上,完善了Boole语义的程度化方法.
Based on B-valuation and by defining probability measure in Boolean evaluation lattice and set of all formulae respectively,the B-probability truth degree of formulae in Boolean semantics is introduced using the integral method,then the probability logic metric space is established in Boolean semantics,the approximate reasoning of quantitative logic methods have been extended to Boolean semantics,the graded method of Boolean semantics is improved.
出处
《电子学报》
EI
CAS
CSCD
北大核心
2012年第3期441-447,共7页
Acta Electronica Sinica
基金
国家自然科学基金(No.51009065)
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)
河南省高等学校骨干教师资助计划(No.2011GGJS-097)
关键词
Boole语义
B-赋值
B-概率真度
概率逻辑度量空间
近似推理
Boolean algebra
B-valuation
B-probability truth degree
probability logic metric space
approximate reasoning
