二值命题逻辑中基于信息限制的随机真度  

Random truth degree based on limited information in two-valued propositional logic

作　　者：亓正坤[1] 丁洁玉[2] 王廷明[3] 

机构地区：[1]青岛大学国际学院,山东青岛266061 [2]青岛大学信息工程学院,山东青岛266071 [3]青岛大学师范学院数学系,山东青岛266071

出　　处：《计算机工程与应用》2012年第22期51-53,57,共4页Computer Engineering and Applications

基　　金：国家自然科学基金资助项目(No.11002075)

摘　　要：以随机真度为基础,提出了二值命题逻辑中公式的在有限信息Γ限制下的随机真度概念。以此为基础定义了公式的Γ-限制随机相似度和Γ-限制随机伪距离,得到了在有限信息Γ限制下公式到理论结论集的Γ-限制随机伪距离的Γ-限制随机真度表示式,为二值命题逻辑中基于有限信息限制的近似推理的随机化研究提供数值化工具。According to the random truth degree, the random truth degree of formula is obtained under the F-limited information control in two-valued propositional logic. The F- limitation random similarity and F- limitation random pseudo metric of the formula are defined respectively. The F-random truth degree expression of F- limitation ran- dom pseudo metric from formula to conclusion set are got under the F-limitation of finite information. So these stud- ies become the numerical identification of approximate reasoning＇ s randomization which is based on the limited in- formation in two-valued propositional logic.

关 键 词：二值命题逻辑 信息 Γ-限制随机真度 Γ-限制随机相似度 Γ-限制随机伪距离 

分 类 号：O141.3[理学—数学]