n值标准逻辑系统中的随机化研究

doi:10.3778/j.issn.1002-8331.2010.30.005

计算机工程与应用 ›› 2010, Vol. 46 ›› Issue (30): 16-19.DOI: 10.3778/j.issn.1002-8331.2010.30.005

n值标准逻辑系统中的随机化研究

王庆平

1.陕西师范大学数学与信息科学学院，西安 710062
2.聊城大学数学科学学院，山东聊城 252059

收稿日期:2010-06-30 修回日期:2010-09-14 出版日期:2010-10-21 发布日期:2010-10-21
通讯作者: 王庆平

Stochastic study in n-valued standard logic system

WANG Qing-ping

1.College of Mathematics and Information Science，Shaanxi Normal University，Xi’an 710062，China
2.School of Mathematics Science，Liaocheng University，Liaocheng，Shandong 252059，China

Received:2010-06-30 Revised:2010-09-14 Online:2010-10-21 Published:2010-10-21
Contact: WANG Qing-ping

摘要/Abstract

摘要： 利用赋值集的随机化方法，在n值标准逻辑中提出了公式的随机真度，证明了所有公式的随机真度之集在[0,1]中没有孤立点；给出了两公式间的D_GRn-相似度与伪距离的概念，并建立了D_GRn-逻辑度量空间，证明了此空间没有孤立点。

关键词: D_GRn-随机真度, D_GRn-相似度, D_GRn-逻辑度量空间

Abstract: In this paper，D_GRnstochastic truth degree of formulas in n-valued standard logic is presented by using stochastic method on evaluation sets.It is proved that the set of stochastic truth degree of all formulas has no isolated point.The conceptions of D_GRnsimilarity degree and pseudo-metric on two formulas are given.D_GRnlogic metric space is built.And it is proved that this space has no isolated point.

Key words: D_GRn-stochastic truth degree, D_GRn-similarity degree, D_GRn-logic metric space

中图分类号:

O14.1

王庆平. n值标准逻辑系统中的随机化研究[J]. 计算机工程与应用, 2010, 46(30): 16-19.

WANG Qing-ping. Stochastic study in n-valued standard logic system[J]. Computer Engineering and Applications, 2010, 46(30): 16-19.

n值标准逻辑系统中的随机化研究

Stochastic study in n-valued standard logic system

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