Boole语义的程度化方法  

Graded Method of Boolean Semantics

作　　者：左卫兵[1] 

机构地区：[1]华北水利水电学院数学与信息科学学院,河南郑州450046

出　　处：《电子学报》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)

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.

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 

分 类 号：O141.1[理学—数学]