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

Computer Engineering and Applications ›› 2012, Vol. 48 ›› Issue (22): 51-53.

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

QI Zhengkun1, DING Jieyu2, WANG Tingming3

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

Online:2012-08-01 Published:2012-08-06

二值命题逻辑中基于信息限制的随机真度

亓正坤1，丁洁玉2，王廷明3

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

Abstract

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.

Key words: two-valued propositional logic, information, Γ- limitation random truth degree, Γ- limitation random similarity, Γ- limitation random pseudo metric

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, &Gamma, -限制随机真度, &Gamma, -限制随机相似度, &Gamma, -限制随机伪距离

QI Zhengkun1, DING Jieyu2, WANG Tingming3. Random truth degree based on limited information in two-valued propositional logic[J]. Computer Engineering and Applications, 2012, 48(22): 51-53.

亓正坤1，丁洁玉2，王廷明3. 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.

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

二值命题逻辑中基于信息限制的随机真度

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