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二值命题逻辑中基于信息限制的随机真度
引用本文:亓正坤,丁洁玉,王廷明.二值命题逻辑中基于信息限制的随机真度[J].计算机工程与应用,2012,48(22):51-53,57.
作者姓名:亓正坤  丁洁玉  王廷明
作者单位: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
基金项目: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。

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

Random truth degree based on limited information in two-valued propositional logic
QI Zhengkun , DING Jieyu , WANG Tingming.Random truth degree based on limited information in two-valued propositional logic[J].Computer Engineering and Applications,2012,48(22):51-53,57.
Authors:QI Zhengkun  DING Jieyu  WANG Tingming
Affiliation:1.International College,Qingdao University,Qingdao,Shandong 266061,China 2.College of Information Engineering,Qingdao University,Qingdao,Shandong 266071,China 3.Department of Mathematics,Teachers College,Qingdao University,Qingdao,Shandong 266071,China
Abstract:According to the random truth degree,the random truth degree of formula is obtained under the Γ-limited information control in two-valued propositional logic.The Γ-limitation random similarity and Γ-limitation random pseudo metric of the formula are defined respectively.The Γ-random truth degree expression of Γ-limitation random pseudo metric from formula to conclusion set are got under the Γ-limitation of finite information.So these studies become the numerical identification of approximate reasoning’s randomization which is based on the limited information in two-valued propositional logic.
Keywords:two-valued propositional logic  information  Γ-limitation random truth degree  Γ-limitation random similarity  Γ-limitation random pseudo metric
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